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1

Khvesyuk, V. I., W. Qiao, and A. A. Barinov. "Kinetics of Phonon Interaction Taken into Account in Determining Thermal Conductivity of Silicon." Herald of the Bauman Moscow State Technical University. Series Natural Sciences, no. 3 (102) (June 2022): 57–68. http://dx.doi.org/10.18698/1812-3368-2022-3-57-68.

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The thorough study of the heat carriers --- quasiparticles --- phonons interaction resulted in a pioneering method for calculating the thermal conductivity of nonmetallic solids. As the interactions of phonons are much more complicated than those of usual atoms and molecules, it is necessary to take into account the presence of two types of phonons with different properties; the decay of one phonon into two or the fusion of two phonons into one as a result of interaction; the presence of two types of interaction of phonons, one of which is elastic, the other is inelastic (moreover, the type of interaction results from solving the energy and quasi-momentum conservation equations). The existing methods for determining thermal conductivity, which typically involve solving the Boltzmann transport equation, use the iteration method, whose parameter is the average time between successive phonon interactions, and the calculation results provide little information on all types of interactions. In this research, we developed a method of direct Monte Carlo simulation of phonon diffusion with strict account for their interaction owing to the energy and quasi-momentum conservation laws. Calculations of the thermal conductivity coefficient for pure silicon in the temperature range of 100---300 K showed good agreement with the experiment and calculations of other authors, and also made it possible to consider the phonon kinetics in detail
2

Xu, Jing, Qingshan Yuan, and Hong Chen. "Phase Transition in a Two-State Chain Interacting with a Phonon Bath." International Journal of Modern Physics B 12, no. 14 (June 10, 1998): 1485–93. http://dx.doi.org/10.1142/s0217979298002891.

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The properties of a two-state chain interacting with a phonon bath is studied in this paper. We discuss the renormalization of the single pseudospin tunneling parameter by phonons' interaction, as well as other pseudospins' correlation. We find that for Ohmic dissipation, the correlation between pseudospins vanishes and the phonons' interaction induces the localization–delocalization transition. For our discussed super-Ohmic dissipation, the phonons' interaction only reduces the tunneling parameter and does not induce phase transition. In this case the pseudospins' correlation has its effect and reduces the tunneling parameter at weak coupling. In addition, some application of our results is also discussed.
3

Capone, M., C. Castellani, and M. Grilli. "Electron-Phonon Interaction in Strongly Correlated Systems." Advances in Condensed Matter Physics 2010 (2010): 1–18. http://dx.doi.org/10.1155/2010/920860.

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The Hubbard-Holstein model is a simple model including both electron-phonon interaction and electron-electron correlations. We review a body of theoretical work investigating, the effects of strong correlations on the electron-phonon interaction. We focus on the regime, relevant to high-Tcsuperconductors, in which the electron correlations are dominant. We find that electron-phonon interaction can still have important signatures, even if many anomalies appear, and the overall effect is far from conventional. In particular in the paramagnetic phase the effects of phonons are much reduced in the low-energy properties, while the high-energy physics can still be affected by phonons. Moreover, the electron-phonon interaction can give rise to important effects, like phase separation and charge-ordering, and it assumes a predominance of forward scattering even if the bare interaction is assumed to be local (momentum independent). Antiferromagnetic correlations reduce the screening effects due to electron-electron interactions and revive the electron-phonon effects.
4

DOLOCAN, ANDREI, VOICU OCTAVIAN DOLOCAN, and VOICU DOLOCAN. "SOME ASPECTS OF THE ELECTRON-BOSON INTERACTION AND OF THE ELECTRON-ELECTRON INTERACTION VIA BOSONS." Modern Physics Letters B 21, no. 01 (January 10, 2007): 25–36. http://dx.doi.org/10.1142/s0217984907012335.

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By using a Hamiltonian of interaction between fermions via bosons1 we derive some properties of the electro-phonon and electron-photon interaction and also of the electron-electron interaction. We have obtained that in a degenerate electron gas there is an attraction between two electrons via acoustical phonons. Also, in certain conditions, there may be an attraction between two electrons via longitudinal optical phonons. Although our expressions for the polaron energy in both cases of the acoustical and longitudinal optical phonons are different from that obtained in the standard theory, their magnitudes are the same with these and they are in good agreement with experimental data. The total emission rate of an electron against a phonon system at absolute zero is directly proportional to the electron momentum. Also, an attraction between two electrons may appear via photons.
5

Zhang, Li, Hong-Jing Xie, and Chuan-Yu Chen. "Electron-Phonon Interaction in a Multi-Shell Spherical Nanoheterosystem." Modern Physics Letters B 17, no. 20n21 (September 10, 2003): 1081–94. http://dx.doi.org/10.1142/s0217984903006165.

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Under the dielectric continuum approximation, the confined longitudinal-optical (LO) phonon and interface-optical (IO) phonon modes of a multi-shell spherical nanoheterosystem are discussed. To describe the vibrations of the LO phonons, a proper eigenfunction for LO phonon modes in the core region is adopted and a legitimate eigenfunction for LO modes in the shell region is constructed. To deal with the IO phonon modes, determinant methods are employed, and the determinant deciding the frequencies of IO phonon modes are obtained. The quantized LO and IO phonons fields as well as their corresponding electron-phonon interaction Hamiltonians are also derived.
6

Manuel, Cristina, and Laura Tolos. "Transport Properties of Superfluid Phonons in Neutron Stars." Universe 7, no. 3 (March 5, 2021): 59. http://dx.doi.org/10.3390/universe7030059.

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We review the effective field theory associated with the superfluid phonons that we use for the study of transport properties in the core of superfluid neutrons stars in their low temperature regime. We then discuss the shear and bulk viscosities together with the thermal conductivity coming from the collisions of superfluid phonons in neutron stars. With regard to shear, bulk, and thermal transport coefficients, the phonon collisional processes are obtained in terms of the equation of state and the superfluid gap. We compare the shear coefficient due to the interaction among superfluid phonons with other dominant processes in neutron stars, such as electron collisions. We also analyze the possible consequences for the r-mode instability in neutron stars. As for the bulk viscosities, we determine that phonon collisions contribute decisively to the bulk viscosities inside neutron stars. For the thermal conductivity resulting from phonon collisions, we find that it is temperature independent well below the transition temperature. We also obtain that the thermal conductivity due to superfluid phonons dominates over the one resulting from electron-muon interactions once phonons are in the hydrodynamic regime. As the phonons couple to the Z electroweak gauge boson, we estimate the associated neutrino emissivity. We also briefly comment on how the superfluid phonon interactions are modified in the presence of a gravitational field or in a moving background.
7

Sachkov, V. A. "The influence of atoms of second coordination sphere on phonon dispersion of diamond." Omsk Scientific Bulletin, no. 173 (2020): 111–13. http://dx.doi.org/10.25206/1813-8225-2020-173-111-113.

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Within the framework of the phenomenological model of twoparticle interaction, the effect of the interaction energy of atoms from the second coordination sphere on the phonon dispersion is considered. This approach makes it possible to vary the growth of the phonon frequency relative to the optical phonon in the center of the Brillun zone. The effects of the contribution to the Raman spectra from longitudinal optical phonons with frequencies higher than their frequency at the center of the Brillouin zone are discussed. The contribution to the frequency of interaction of atoms from the second coordination sphere for some phonons is obtained in an explicit form. The formulas obtained will be useful for calculating the spectra of Raman scattering of light by optical phonons localized in diamond nanocrystals
8

Maslov A. Yu. and Proshina O. V. "Polaron mass of carriers in a thin film on ionic substrates." Semiconductors 56, no. 9 (2022): 675. http://dx.doi.org/10.21883/sc.2022.09.54134.9901.

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A new approach to establishing a strong electron--phonon interaction in heterostructures is proposed. A three-layer structure consisting of an ionic substrate, a semiconductor film, and a covering dielectric (with air or vacuum possibly serving as such a dielectric) is examined. Interface optical phonons emerge near the heterointerface. Their parameters are governed by the dielectric properties of the substrate. It is demonstrated that the effective mass of carriers in the film is altered in the presence of interface phonons. Depending on the substrate ionicity, the magnitude of this change may vary from several tens to hundreds of percent. It is shown that the conditions for strong electron--phonon interaction may be established in a large number of semiconductor films. Measurements of the effective mass of carriers in identical films positioned on different substrates should make it possible to identify a transition from a weak electron--phonon interaction to a strong one. Keywords: electron--phonon interaction, effective mass, interface phonons, polaron, thin films.
9

PAUL, PRABASAJ, and DANIEL C. MATTIS. "EXTINCTION OF SPIN INTERACTIONS IN THE 2D KONDO LATTICE." International Journal of Modern Physics B 09, no. 24 (October 30, 1995): 3199–208. http://dx.doi.org/10.1142/s0217979295001221.

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A two-dimensional Kondo lattice with inter-site interaction is studied using a canonical transformation to eliminate interactions. Our approach is patterned on Bardeen and Pines' elimination of electron–phonon interaction. It is shown that interactions are eliminated at nonzero temperatures in the thermodynamic limit, in a manner differing radically from the case of phonons.
10

SINGH, NAVINDER. "HOT ELECTRON RELAXATION IN A METAL NANOPARTICLE: ELECTRON SURFACE-PHONON INTERACTION." Modern Physics Letters B 18, no. 24 (October 20, 2004): 1261–65. http://dx.doi.org/10.1142/s0217984904007797.

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The relaxation of hot electrons is considered in a metal nanoparticle. When the particle size is of the order of electron mean free path, the main channel of hot electron energy loss is through surface-phonon generation, rather than bulk phonon generation. A calculation for the hot electron relaxation by the generation of surface-phonons is given, assuming that electrons and surface-phonons are described by their equilibrium Fermi and Bose distribution functions. The assumption is valid because the time required to establish equilibrium in the electron gas is much less than the time for achieving equilibrium between the electrons and the surface-phonons. The expressions obtained for low-temperature and high-temperature regimes are inversely proportional to the radius of the particle. This shows that size dependency of electron surface-phonon energy exchange arises from the geometric effect.
11

Sun, J. P., H. B. Teng, G. I. Haddad, M. A. Stroscio, and G. J. Iafrate. "lntersubband Relaxation in Step Quantum Well Structures." VLSI Design 8, no. 1-4 (January 1, 1998): 289–93. http://dx.doi.org/10.1155/1998/17823.

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Intersubband relaxation due to electron interactions with the localized phonon modes plays an important role for population inversion in quantum well laser structures designed for intersubband lasers operating at mid-infrared to submillimeter wavelengths. In this work, intersubband relaxation rates between subbands in step quantum well structures are evaluated numerically using Fermi's golden rule, in which the localized phonon modes including the asymmetric interface modes, symmetric interface modes, and confined phonon modes and the electron – phonon interaction Hamiltonians are derived based on the macroscopic dielectric continuum model, whereas the electron wave functions are obtained by solving the Schrödinger equation for the heterostructures under investigation. The sum rule for the relationship between the form factors of the various localized phonon modes and the bulk phonon modes is examined and verified for these structures. The intersubband relaxation rates due to electron scattering by the asymmetric interface phonons, symmetric interface phonons, and confined phonons are calculated and compared with the relaxation rates calculated using the bulk phonon modes and the Fröhlich interaction Hamiltonian for step quantum well structures with subband separations of 36 meV and 50meV, corresponding to the bulk longitudinal optical phonon energy and interface phonon energy, respectively. Our results show that for preferential electron relaxation in intersubband laser structures, the effects of the localized phonon modes, especially the interface phonon modes, must be included for optimal design of these structures.
12

Ziegler, K., and D. Schneider. "Electron–phonon interaction for adiabatic anharmonic phonons." Journal of Physics: Condensed Matter 17, no. 36 (August 25, 2005): 5489–97. http://dx.doi.org/10.1088/0953-8984/17/36/005.

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13

Bannov, N. A., V. V. Mitin, and F. T. Vasko. "Modelling of Hot Acoustic Phonon Propagation in Two Dimensional Layers." VLSI Design 6, no. 1-4 (January 1, 1998): 197–200. http://dx.doi.org/10.1155/1998/79658.

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The transport of confined acoustic phonons in a flee-standing quantum well has been studied by solving the quantum kinetic equation for phonons. The phonon decay rate has been numerically calculated for GaAs flee-standing quantum well. Phonon interaction with electrons through the deformation potential makes the major contribution to the acoustic phonon decay.
14

KOSOV, D. S., and A. I. VDOVIN. "THE TFD TREATMENT OF THE QUASIPARTICLE-PHONON INTERACTION AT FINITE TEMPERATURE." Modern Physics Letters A 09, no. 19 (June 21, 1994): 1735–43. http://dx.doi.org/10.1142/s0217732394001581.

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The coupling of elementary excitation modes in hot nuclei is studied. For this aim the quasiparticle-phonon nuclear model (QPM) is extended to a finite temperature by using the formalism of the thermofield dynamics. First the energies and structures of one-phonon states are calculated in the thermal random phase approximation and then the thermal QPM Hamiltonian HQPM is expressed in terms of thermal quasiparticles and thermal RPA-phonons. The equation for the energies taking into account mixing of one-and two-thermal phonon states is derived. The expression of the coupling matrix element between thermal phonons is given.
15

WEI, SHU YI, WEN DENG HUANG, CONG XIN XIA, and HUA RUI WU. "TRANSFER MATRIX METHOD FOR ELECTRON-PHONON INTERACTION IN MULTILAYER SPHERICAL HETEROSTRUCTURES." International Journal of Modern Physics B 19, no. 12 (May 10, 2005): 2061–71. http://dx.doi.org/10.1142/s0217979205029675.

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Within the framework of the dielectric-continuum model, the polarization eigenvector, the dispersion relations, and the electron-phonon interaction Fröhlich-like Hamiltonian of the interface optical (IO) phonons in multilayer spherical heterostructures are derived by using transfer-matrix method. The dispersion relations and electron-phonon coupling function strengths of the IO phonons are investigated for 5-layer CdS/HgS/CdS/HgS/H 2 O spherical heterostructures. We find that there are seven IO phonon branches in 5-layer CdS/HgS/CdS/HgS/H 2 O spherical heterostructures, but only one has a more important contribution to the coupling function [Formula: see text].
16

XING, D. Y., J. YANG, and C. S. TING. "EFFECT OF THE NONEQUILIBRIUM DISTRIBUTION FUNCTION ON THE ENERGY LOSS RATE OF HOT ELECTRONS IN A SEMICONDUCTOR." International Journal of Modern Physics B 09, no. 08 (April 10, 1995): 991–1000. http://dx.doi.org/10.1142/s0217979295000392.

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The closed time path Green’s function method is used to derive the nonequilibrium distribution functions of acoustic phonons and excitations of hot electrons, renormalized by the electron-phonon interaction in the random phase approximation, and to calculate the power dissipation of hot electrons. It is shown that the energy loss channel of hot electrons would vanish unless a relaxation rate corresponding to the decay of one acoustic phonon into two or more bare acoustic phonons via the anharmonic interaction is explicitly included in the phonon propagator. The effect due to the anharmonic interaction on the energy loss rate of hot electrons has also been studied.
17

Lan, Tian, and Zhaoyan Zhu. "Renormalized Phonon Microstructures at High Temperatures from First-Principles Calculations: Methodologies and Applications in Studying Strong Anharmonic Vibrations of Solids." Advances in Condensed Matter Physics 2016 (2016): 1–11. http://dx.doi.org/10.1155/2016/2714592.

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While the vibrational thermodynamics of materials with small anharmonicity at low temperatures has been understood well based on the harmonic phonons approximation, at high temperatures, this understanding must accommodate how phonons interact with other phonons or with other excitations. To date the anharmonic lattice dynamics is poorly understood despite its great importance, and most studies still rely on the quasiharmonic approximations. We shall see that the phonon-phonon interactions give rise to interesting coupling problems and essentially modify the equilibrium and nonequilibrium properties of materials, for example, thermal expansion, thermodynamic stability, heat capacity, optical properties, thermal transport, and other nonlinear properties of materials. The review aims to introduce some recent developements of computational methodologies that are able to efficiently model the strong phonon anharmonicity based on quantum perturbation theory of many-body interactions and first-principles molecular dynamics simulations. The effective potential energy surface of renormalized phonons and structures of the phonon-phonon interaction channels can be derived from these interdependent methods, which provide both macroscopic and microscopic perspectives in analyzing the strong anharmonic phenomena while the traditional harmonic models fail dramatically. These models have been successfully performed in the studies on the temperature-dependent broadenings of Raman and neutron scattering spectra, high temperature phase stability, and negative thermal expansion of rutile and cuprite structures, for example.
18

Маслов, А. Ю., and О. В. Прошина. "Электрон-фононное взаимодействие в квантовых ямах на основе одноосных материалов." Физика и техника полупроводников 53, no. 12 (2019): 1641. http://dx.doi.org/10.21883/ftp.2019.12.48618.9198.

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AbstractThe interaction of charged particles with interface optical phonons in quantum wells composed of uniaxially symmetric materials is studied theoretically. It is shown that the character of this interaction depends considerably on the degree of anisotropy of the phonon spectrum in the materials forming the quantum well and the barriers. In the case of strong anisotropy, the interaction turns out to be significantly weaker than it is in similar structures made of materials with cubic symmetry. In the case of weak phonon anisotropy, the interaction of charged particles with optical phonons can under certain conditions be described by a Fröhlich-type coupling constant, and both weak and strong electron–phonon interaction can take place in different structures. The results obtained extend the possibilities of the optical diagnostics of quantum nanostructures.
19

Kang, Nam Lyong, and Sang Don Choi. "Projection-Reduction Approach to Optical Conductivities for an Electron-Phonon System and Their Diagram Representation." ISRN Condensed Matter Physics 2014 (April 7, 2014): 1–23. http://dx.doi.org/10.1155/2014/719120.

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Utilizing state-dependent projection operators and the Kang-Choi reduction identities, we derive the linear, first, and second-order nonlinear optical conductivities for an electron system interacting with phonons. The lineshape functions included in the conductivity tensors satisfy “the population criterion” saying that the Fermi distribution functions for electrons and Planck distribution functions for phonons should be combined in multiplicative forms. The results also contain energy denominator factors enforcing the energy conservation as well as interaction factors describing electron-phonon interaction properly. Therefore, the phonon absorption and emission processes as well as photon absorption and emission processes in all electron transition processes can be presented in an organized manner and the results can be represented in diagrams that can model the quantum dynamics of electrons in a solid.
20

Zhang, Weidong, Yanglizhi Li, Te Wen, Lulu Ye, Hai Lin, LuZhao Sun, Zhongfan Liu, Qihuang Gong, and Guowei Lu. "Chiral emission induced by the interaction between chiral phonons and localized plasmon." Applied Physics Letters 120, no. 26 (June 27, 2022): 261106. http://dx.doi.org/10.1063/5.0097217.

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We demonstrate chiral photoluminescence and scattering induced by the interaction between chiral phonons and localized plasmon. In the experiment, we constructed a hybrid structure of single gold nanorods and bilayer graphene. The optical chirality was investigated with a helicity-resolved single-particle spectroscopy technique, including the dark-field scattering and photoluminescence spectra. The single-particle spectra can effectively indicate the chiral phonon in bilayer graphene. That is due to the interaction between achiral local surface plasmon resonance and chiral phonons, which influences the plasmon damping at the interface. We propose a plasmon–phonon coupled spectroscopy method for phonon chirality detection. This method provides an advantage for developing high spatial resolution detection of chiral phonon in low-dimensional materials due to the localization of plasmonic near-field.
21

Suresha, Kasala. "Phonon Drag Thermopower in Silicene in Equipartition Regime at Room Temperature." International Journal for Research in Applied Science and Engineering Technology 9, no. 11 (November 30, 2021): 399–403. http://dx.doi.org/10.22214/ijraset.2021.38818.

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Abstract: Similar to graphene, zero band gap limits the application of Silicene in nanoelectronics despite of its high carrier mobility. In this article we calculate the contribution of electron-phonon interaction to thermoelectric effects in silicene. One considers the case of free standing silicene taking into account interaction with intrinsic acoustic phonons. The temperature considered here is at room temperature. We noticed that the contribution to thermoelectromotive force due to electron drag by phonons is determined by the Fermi energy. The explicit temperature dependence of the contribution to thermoelectromotive force deriving from by phonons is weak in contrast to that due to diffusion, which is directly proportional to temperature. Thus a theoretical limit has been established for a possible increase of the thermoelectromotive force through electron drag by the intrinsic phonons of silicene. Keywords: Phonon-drag thermopower, electron-diffusion thermopower, silicene, fermi energy, zero band gap
22

Tkach, M. V., Ju O. Seti, and O. M. Voitsekhivska. "Renormalized spectrum of quasiparticle in limited number of states, strongly interacting with two-mode polarization phonons at T=0 K." Condensed Matter Physics 24, no. 1 (March 2021): 13705. http://dx.doi.org/10.5488/cmp.24.13705.

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Within unitary transformed Hamiltonian of Fröhlich type, using the Green's functions method, exact renormalized energy spectrum of quasiparticle strongly interacting with two-mode polarization phonons is obtained at T=0 K in a model of the system with limited number of its initial states. Exact analytical expressions for the average number of phonons in ground state and in all satellite states of the system are presented. Their dependences on a magnitude of interaction between quasiparticle and both phonon modes are analyzed.
23

Mitin, V. V., N. A. Bannov, R. Mickevicius, and G. Paulavicius. "Numerical Simulation of Heat Removal from Low Dimensional Nanostructures." VLSI Design 6, no. 1-4 (January 1, 1998): 201–4. http://dx.doi.org/10.1155/1998/37053.

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The acoustic phonon radiation patterns and acoustic phonon spectra due to electron acoustic phonon interaction in double barrier quantum well have been investigated by solving both the kinetic equations for electrons and phonons. The acoustic phonon radiation patterns have strongly pronounced maximum in the directions close to the perpendicular to the quantum well direction. The radiation pattern anisotropy is explained in terms of possible electron transitions, nonequilibrium electron distribution function, and the Hamiltonian of electron-phonon interactions.
24

MISOCHKO, O. V., and E. YA SHERMAN. "RANDOM POTENTIAL INFLUENCE ON PHONON RAMAN SCATTERING IN HIGH-TEMPERATURE SUPERCONDUCTORS." International Journal of Modern Physics B 08, no. 24 (October 30, 1994): 3371–88. http://dx.doi.org/10.1142/s0217979294001408.

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Raman scattering in high-temperature superconductors is considered, assuming the presence of a random potential caused by either crystal non-stoichiometry or oxygen disorder. The renormalization of the electron-phonon interaction by impurity scattering for phonons of different symmetry has been analyzed. The analysis has been extended so as to take into consideration the finite wavevector phonons. On the basis of the theory developed, unusual properties of phonon Raman scattering in the high-temperature superconductors are qualitatively considered. They include the phonon line-shape and its dependence on the scattering polarizations and resonant conditions, and non-Bose temperature dependence of a number of Raman active phonons.
25

Zhang, Xufeng, Chang-Ling Zou, Liang Jiang, and Hong X. Tang. "Cavity magnomechanics." Science Advances 2, no. 3 (March 2016): e1501286. http://dx.doi.org/10.1126/sciadv.1501286.

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A dielectric body couples with electromagnetic fields through radiation pressure and electrostrictive forces, which mediate phonon-photon coupling in cavity optomechanics. In a magnetic medium, according to the Korteweg-Helmholtz formula, which describes the electromagnetic force density acting on a medium, magneostrictive forces should arise and lead to phonon-magnon interaction. We report such a coupled phonon-magnon system based on ferrimagnetic spheres, which we term as cavity magnomechanics, by analogy to cavity optomechanics. Coherent phonon-magnon interactions, including electromagnetically induced transparency and absorption, are demonstrated. Because of the strong hybridization of magnon and microwave photon modes and their high tunability, our platform exhibits new features including parametric amplification of magnons and phonons, triple-resonant photon-magnon-phonon coupling, and phonon lasing. Our work demonstrates the fundamental principle of cavity magnomechanics and its application as a new information transduction platform based on coherent coupling between photons, phonons, and magnons.
26

Fahandezh Saadi, M., H. Shirkani, and M. M. Golshan. "Effects of optical phonon interaction on dynamical valley polarization in graphene." International Journal of Modern Physics B 31, no. 03 (January 23, 2017): 1750001. http://dx.doi.org/10.1142/s0217979217500011.

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The present report is concerned with the dynamical behavior of [Formula: see text]-electronic valley states, under the interaction with transverse zone-boundary optical phonons, in graphene. It is assumed that the phonons are thermal and obey the Bose–Einstein distribution, while the [Formula: see text]-electrons are initially prepared in an experimentally realizable particular valley state. In our study, we take the view that such a mixture is completely described by a time-dependent density operator which is then determined, to the second-order of perturbation, from the governing Schrödinger equation. Employing the density operator so calculated, an analytical expression for the valley polarization, as a function of time, phonon frequency and temperature, is obtained. The results, accompanying with illustrative figures, reveal that the [Formula: see text]-electrons, through the elastic exchange of energy with phonons, change the valley states periodically with characteristics that strongly depend upon the temperature. It is in particular shown that as the temperature is raised, the time-averaged valley polarization approaches zero, as expected. Our calculations also show that the amplitude of valley oscillations is solely determined by the temperature and phonon frequency: an increase in the temperature enlarges the amplitudes in contrast to the phonon frequency which does the reverse. Along these lines, moreover, we demonstrate that the frequency of valley oscillations is determined by the electronic momentum deviation from the valley states, along with the phonon frequency.
27

Pantić, M., Lj D. Mašković, and B. S. Tošić. "The Estimate of the Electron–Phonon Coupling Constant in the Thin Film." International Journal of Modern Physics B 12, no. 02 (January 20, 1998): 177–89. http://dx.doi.org/10.1142/s0217979298000132.

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Hamiltonians of electron–phonon interaction for thin metallic films are formulated. This is the basis for the estimate of the superconductivity critical temperature for films and corresponding bulk structures. It is shown that the interaction of surface electrons in the film with bulk phonons could explain the experimental fact that critical temperatures of the films are higher than the corresponding ones in bulk (massive) structures. Since above fact is valid nearly for all pure metallic, one can conclude that the dominant form or the interaction in films is the interaction of surface electrons with bulk phonons.
28

Maslov A.Yu. and Proshina O.V. "Multiple changes in the electron-phonon interaction in quantum wells with dielectrically different barriers." Semiconductors 56, no. 1 (2022): 75. http://dx.doi.org/10.21883/sc.2022.01.53024.9705.

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The specific features of the interaction of charged particles with polar optical phonons have been studied theoretically for quantum wells with the barriers that are asymmetric in their dielectric properties. It is shown that the interaction with interface phonon modes makes the greatest contribution in narrow quantum wells. The parameters of the electron-phonon interaction were found for the cases of different values of the phonon frequencies in the barrier materials. It turned out that a significant (by almost an order of magnitude) change in the parameters of the electron-phonon interaction can occur in such structures. This makes it possible, in principle, to trace the transition from weak to strong interactions in quantum wells of the same type but with different compositions of barrier materials. The conditions are found under which an enhancement of the electron-phonon interaction is possible in an asymmetric structure in comparison with a symmetric one with the barriers of the same composition. Keywords: quantum well, electron-phonon interaction, polaron, asymmetric barriers.
29

ZHAO, FENG-QI, and ZI-ZHENG GUO. "ELECTRIC FIELD EFFECTS ON POLARONS WITH SPATIALLY DEPENDENT MASS IN PARABOLIC QUANTUM WELLS." International Journal of Modern Physics B 18, no. 22 (September 20, 2004): 2991–99. http://dx.doi.org/10.1142/s0217979204026354.

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The free polaron energy levels in finite GaAs / Al x Ga 1-x As parabolic quantum wells have been investigated by a modified variational method. The effect of the electric field, the electron-phonon interaction including the longitudinal optical phonons and the four branches of interface optical phonons, and the effect of spatial dependent effective mass have been considered in the calculation. The dependence of the energies of free polarons on the alloy composition x is given. The numerical results for finite GaAs / Al x Ga 1-x As parabolic quantum wells are obtained and discussed. The results show that the effect of the electric field and the interface optical phonons as well as the longitudinal optical phonons on the energy levels is obvious. One can find that the effect of the spatially dependent effective masses on the energy levels in finite parabolic quantum wells is considerable except for large well width. Thus, the electron-phonon interaction and the effect of the spatially dependent effective mass should not be neglected for the study of the electron state problem in finite parabolic quantum wells.
30

Jacoboni, C., A. Abramo, P. Bordone, R. Brunetti, and M. Pascoli. "Application of the Wigner-Function Formulation to Mesoscopic Systems in Presence of Electron-Phonon Interaction." VLSI Design 8, no. 1-4 (January 1, 1998): 185–90. http://dx.doi.org/10.1155/1998/71098.

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A theoretical and computational analysis of the quantum dynamics of charge carriers in presence of electron-phonon interaction based on the Wigner function is here applied to the study of transport in mesoscopic systems. Numerical applications are shown for a) a wave packet scattering with phonons while crossing a potential profile and b) electrons scattering with phonons in a finite device with open boundary conditions.
31

Solanki, Reena, and Seema Agrawal. "Thermoelectric Properties of Zn Nanowires: Phonon Scattering Effect." Research Journal of Chemistry and Environment 26, no. 5 (April 25, 2022): 114–18. http://dx.doi.org/10.25303/2605rjce114118.

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The temperature-dependent thermoelectric power (S) of Zn nanostructures is numerically estimated using a theoretical model. The electron diffusive and phonon drag contributions to thermoelectric power are calculated within the relaxation time approximation. The phonon drag thermopower is an artifact of various operating scattering mechanisms. The anomalous behavior of (S) is successfully estimated in accordance with interaction of heat carrying phonons with impurity, grain boundaries, electrons and phonons. The scattering and transport cross sections are function of phonon frequency  in the present model and produce similar results.
32

DAT, NGUYEN NHU. "PHONON-LIMITED MOBILITY IN A FREE-STANDING POLAR SEMICONDUCTOR QUANTUM WIRE." Modern Physics Letters B 09, no. 26n27 (November 20, 1995): 1779–88. http://dx.doi.org/10.1142/s0217984995001807.

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A macroscopic continuum model is used to study the longitudinal optical phonons in a free-standing polar quantum wire with a rectangular cross section. The Fröhlich Hamiltonian describing the electron-phonon interaction is then obtained and used to calculate the electron mobility governed by confined LO phonons by means of the memory function approach, neglecting electron-electron interaction. Numerical calculations are given for a GaAs quantum wire, showing that the mobility is enhanced at least by one order of magnitude in comparison with the bulk-LO-phonon-limited one. It is shown that the contribution of intersubband scattering is important in wires of large width at high temperature.
33

Shi, Jun-jie, B. C. Sanders, and Shao-hua Pan. "Coherent and Phonon-assisted Tunnelling in Asymmetric Double Barrier Resonant Tunnelling Structures." Australian Journal of Physics 53, no. 1 (2000): 35. http://dx.doi.org/10.1071/ph99037.

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We present a theory for calculating the phonon-assisted tunnelling current in asymmetric double barrier resonant tunnelling structures (DBRTS), in which all of the phonon modes including the interface modes and the confined bulk-like LO phonons and the conduction band nonparabolicity are considered. An important physical picture about coherent and phonon-assisted tunnelling is given. The coherent tunnelling current can be directly determined by both the width of the resonant level and the peak value of the transmission coecient at the resonant level. The phonon-assisted tunnelling current mainly comes from electron interaction with higher frequency interface phonons (especially the interface phonons localised at either interface of the left barrier). Phonon-assisted tunnelling makes a significant contribution to the valley current. The subband nonparabolicity strongly influences on electron?phonon scattering and current-to-voltage characteristics. A specially designed asymmetric DBRTS may have an improved performance over the symmetric DBRTS.
34

Zhao, Feng Qi, and Xiao Mei Dai. "Influence of Pressure on Polaron Energy in a Wurtzite GaN/AlxGa1-xN Quantum Well." Solid State Phenomena 288 (March 2019): 17–26. http://dx.doi.org/10.4028/www.scientific.net/ssp.288.17.

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The influence of hydrostatic pressure on the polaron energy level in wurtzite GaN/AlxGa1-xN quantum well is studied by a Lee-Low-Pines variational method, and the numerical results of the ground state energy, transition energy and contributions of different phonons to polaron energy (polaron effects) are given as functions of pressurepand compositionx. The results show that the ground state energy and transition energy in the wurtzite GaN/AlxGa1-xN quantum well decrease with the increase of the hydrostatic pressurep, and increase with the increase of the compositionx. The contributions of different phonons to polaron energy with pressurepand compositionxare obviously different. With the increase of hydrostatic pressure, the contribution of half-space phonon, confined phonon and the total contribution of phonons of all branches increases obviously, while the contribution of interface phonon slowly increases. During the increase of the composition, the contribution of interface phonon decreases and the contribution of half-space phonon increases slowly, while the contribution of confined phonon and the total contribution of phonons increases significantly. In general, the electron-optical phonon interaction play an important role in electronic states of GaN/AlxGa1-xN quantum wells and can not be neglected.
35

Маслов, А. Ю., and О. В. Прошина. "Многократное изменение электрон-фононного взаимодействия в квантовых ямах с диэлектрически различными барьерами." Физика и техника полупроводников 56, no. 1 (2022): 101. http://dx.doi.org/10.21883/ftp.2022.01.51819.9705.

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Abstract The specific features of the interaction of charged particles with polar optical phonons have been studied theoretically for quantum wells with the barriers that are asymmetric in their dielectric properties. It is shown that the interaction with interface phonon modes makes the greatest contribution in narrow quantum wells. The parameters of the electron-phonon interaction were found for the cases of different values of the phonon frequencies in the barrier materials. It turned out that a significant (by almost an order of magnitude) change in the parameters of the electron-phonon interaction can occur in such structures. This makes it possible, in principle, to trace the transition from weak to strong interactions in quantum wells of the same type but with different compositions of barrier materials. The conditions are found under which an enhancement of the electron-phonon interaction is possible in an asymmetric structure in comparison with a symmetric one with the barriers of the same composition.
36

MARTIN, THIERRY, and DANIEL LOSS. "PHASE DIAGRAM FOR A LUTTINGER LIQUID COUPLED TO PHONONS IN ONE DIMENSION." International Journal of Modern Physics B 09, no. 04n05 (February 28, 1995): 495–533. http://dx.doi.org/10.1142/s0217979295000185.

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We consider a one-dimensional system consisting of electrons with short-ranged repulsive interactions and coupled to small-momentum transfer acoustic phonons. The interacting electrons are bosonized and described in terms of a Luttinger liquid which allows us to calculate exactly the one- and two-electron Green function. For non-interacting electrons, the coupling to phonons alone induces a singularity at the Fermi surface which is analogous to that encountered for electrons with an instantaneous attractive interaction. The exponents which determine the presence of singlet/triplet superconducting pairing fluctuations, and spin/charge density wave fluctuations are strongly affected by the presence of the Wentzel-Bardeen singularity, resulting in the favoring of superconducting fluctuations. For the Hubbard model the equivalent of a phase diagram is established, as a function of: the electron-phonon coupling, the electron filling factor, and the on-site repulsion between electrons. The Wentzel-Bardeen singularity can be reached for arbitrary values of the electron-phonon coupling constant by varying the filling factor. This provides an effective mechanism to push the system from the antiferromagnetic into the metallic phase, and finally into the superconducting phase as the electron filling factor is increased towards half-filling.
37

Glazov, M. M., Z. A. Iakovlev, and S. Refaely-Abramson. "Phonon-induced exciton weak localization in two-dimensional semiconductors." Applied Physics Letters 121, no. 19 (November 7, 2022): 192106. http://dx.doi.org/10.1063/5.0122633.

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We theoretically study the contribution of quantum effects to the exciton diffusion coefficient in atomically thin crystals. It is related to the weak localization caused by the interference of excitonic wavefunctions on the trajectories with closed loops. Due to the weak inelasticity of the exciton–phonon interaction, the effect is present even if the excitons are scattered by long-wavelength acoustic phonons. We consider exciton interaction with longitudinal acoustic phonons with linear dispersion and flexural phonons with quadratic dispersion. We identify the regimes where the weak localization effect can be particularly pronounced. We also briefly address the role of free charge carriers in the exciton quantum transport and, within the self-consistent theory of localization, the weak localization effects beyond the lowest order.
38

Comas, F., C. Trallero-Giner, and A. Cantarero. "Optical phonons and electron-phonon interaction in quantum wires." Physical Review B 47, no. 12 (March 15, 1993): 7602–5. http://dx.doi.org/10.1103/physrevb.47.7602.

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39

Limonov, M. F., Yu E. Kitaev, A. V. Chugreev, V. P. Smirnov, Yu S. Grushko, S. G. Kolesnik, and S. N. Kolesnik. "Phonons and electron-phonon interaction in halogen-fullerene compounds." Physical Review B 57, no. 13 (April 1, 1998): 7586–94. http://dx.doi.org/10.1103/physrevb.57.7586.

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40

Rossi, F., C. Bungaro, L. Rota, P. Lugli, and E. Molinari. "Phonons and electron-phonon interaction in GaAs quantum wires." Solid-State Electronics 37, no. 4-6 (April 1994): 761–64. http://dx.doi.org/10.1016/0038-1101(94)90294-1.

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41

Cardona, M. "Phonons and electron-phonon interaction in high Tc superconductors." Journal of Molecular Structure 292 (March 1993): 255–67. http://dx.doi.org/10.1016/0022-2860(93)80104-4.

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42

Jin, Jae Sik, and Joon Sik Lee. "Electron–Phonon Interaction Model and Prediction of Thermal Energy Transport in SOI Transistor." Journal of Nanoscience and Nanotechnology 7, no. 11 (November 1, 2007): 4094–100. http://dx.doi.org/10.1166/jnn.2007.010.

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An electron–phonon interaction model is proposed and applied to thermal transport in semiconductors at micro/nanoscales. The high electron energy induced by the electric field in a transistor is transferred to the phonon system through electron–phonon interaction in the high field region of the transistor. Due to this fact, a hot spot occurs, which is much smaller than the phonon mean free path in the Si-layer. The full phonon dispersion model based on the Boltzmann transport equation (BTE) with the relaxation time approximation is applied for the interactions among different phonon branches and different phonon frequencies. The Joule heating by the electron–phonon scattering is modeled through the intervalley and intravalley processes for silicon by introducing average electron energy. The simulation results are compared with those obtained by the full phonon dispersion model which treats the electron–phonon scattering as a volumetric heat source. The comparison shows that the peak temperature in the hot spot region is considerably higher and more localized than the previous results. The thermal characteristics of each phonon mode are useful to explain the above phenomena. The optical mode phonons of negligible group velocity obtain the highest energy density from electrons, and resides in the hot spot region without any contribution to heat transport, which results in a higher temperature in that region. Since the acoustic phonons with low group velocity show the higher energy density after electron–phonon scattering, they induce more localized heating near the hot spot region. The ballistic features are strongly observed when phonon–phonon scattering rates are lower than 4 × 1010 s−1.
43

Jin, Jae Sik, and Joon Sik Lee. "Electron–Phonon Interaction Model and Prediction of Thermal Energy Transport in SOI Transistor." Journal of Nanoscience and Nanotechnology 7, no. 11 (November 1, 2007): 4094–100. http://dx.doi.org/10.1166/jnn.2007.18084.

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Abstract:
An electron–phonon interaction model is proposed and applied to thermal transport in semiconductors at micro/nanoscales. The high electron energy induced by the electric field in a transistor is transferred to the phonon system through electron–phonon interaction in the high field region of the transistor. Due to this fact, a hot spot occurs, which is much smaller than the phonon mean free path in the Si-layer. The full phonon dispersion model based on the Boltzmann transport equation (BTE) with the relaxation time approximation is applied for the interactions among different phonon branches and different phonon frequencies. The Joule heating by the electron–phonon scattering is modeled through the intervalley and intravalley processes for silicon by introducing average electron energy. The simulation results are compared with those obtained by the full phonon dispersion model which treats the electron–phonon scattering as a volumetric heat source. The comparison shows that the peak temperature in the hot spot region is considerably higher and more localized than the previous results. The thermal characteristics of each phonon mode are useful to explain the above phenomena. The optical mode phonons of negligible group velocity obtain the highest energy density from electrons, and resides in the hot spot region without any contribution to heat transport, which results in a higher temperature in that region. Since the acoustic phonons with low group velocity show the higher energy density after electron–phonon scattering, they induce more localized heating near the hot spot region. The ballistic features are strongly observed when phonon–phonon scattering rates are lower than 4 × 1010 s−1.
44

Orlov, A. V., and V. I. Zelenskiy. "PHONON SPECTRAL ENERGY DENSITY IN METALSWITH THE CUBIC LATTICE STRUCTURE." Russian Family Doctor, no. 1 (December 15, 2020): 73–78. http://dx.doi.org/10.17816/rfd10681.

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This study derives an expression of spectral energy density of acoustic phonons, as well as introducing the basic properties of anharmonic phonons and deriving an expression of their spectral energy density. The description of the vibrations of the atoms of the crystal lattice to this day cannot be considered completely finished, despite the existence of the theory of heat capacity at a constant volume (Debye theory). Debye's theory perfectly explains the law of cubic increase in heat capacity with temperature at low values of the latter. However, at high temperatures, the Debye model seems insufficiently substantiated. In particular, it is not clear for what physical reasons the value of the critical frequency was introduced - the phonon frequency, above which their appearance is impossible. In addition, the spectral energy density of anharmonism phonons is not considered, although this information is extremely important. It is the spectral composition of the anharmonic phonons that is necessary for an objective description of the phonon-phonon interaction in a crystal. In this paper, the principles are stated on the basis of which the spectral energy density of phonons can be calculated. The consideration is carried out for a simple cubic crystal lattice.
45

Orlov, A. V., and V. I. Zelenskiy. "PHONON SPECTRAL ENERGY DENSITY IN METALSWITH THE CUBIC LATTICE STRUCTURE." Russian Family Doctor, no. 1 (December 15, 2020): 73–78. http://dx.doi.org/10.17816/rfd10713.

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Abstract:
This study derives an expression of spectral energy density of acoustic phonons, as well as introducing the basic properties of anharmonic phonons and deriving an expression of their spectral energy density. The description of the vibrations of the atoms of the crystal lattice to this day cannot be considered completely finished, despite the existence of the theory of heat capacity at a constant volume (Debye theory). Debye's theory perfectly explains the law of cubic increase in heat capacity with temperature at low values of the latter. However, at high temperatures, the Debye model seems insufficiently substantiated. In particular, it is not clear for what physical reasons the value of the critical frequency was introduced - the phonon frequency, above which their appearance is impossible. In addition, the spectral energy density of anharmonism phonons is not considered, although this information is extremely important. It is the spectral composition of the anharmonic phonons that is necessary for an objective description of the phonon-phonon interaction in a crystal. In this paper, the principles are stated on the basis of which the spectral energy density of phonons can be calculated. The consideration is carried out for a simple cubic crystal lattice.
46

Orlov, A. V., and V. I. Zelenskiy. "PHONON SPECTRAL ENERGY DENSITY IN METALSWITH THE CUBIC LATTICE STRUCTURE." Yugra State University Bulletin 16, no. 1 (December 15, 2020): 73–78. http://dx.doi.org/10.17816/byusu20200173-78.

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Abstract:
This study derives an expression of spectral energy density of acoustic phonons, as well as introducing the basic properties of anharmonic phonons and deriving an expression of their spectral energy density. The description of the vibrations of the atoms of the crystal lattice to this day cannot be considered completely finished, despite the existence of the theory of heat capacity at a constant volume (Debye theory). Debye's theory perfectly explains the law of cubic increase in heat capacity with temperature at low values of the latter. However, at high temperatures, the Debye model seems insufficiently substantiated. In particular, it is not clear for what physical reasons the value of the critical frequency was introduced - the phonon frequency, above which their appearance is impossible. In addition, the spectral energy density of anharmonism phonons is not considered, although this information is extremely important. It is the spectral composition of the anharmonic phonons that is necessary for an objective description of the phonon-phonon interaction in a crystal. In this paper, the principles are stated on the basis of which the spectral energy density of phonons can be calculated. The consideration is carried out for a simple cubic crystal lattice.
47

Lemos, Jessica S., Elena Blundo, Antonio Polimeni, Marcos A. Pimenta, and Ariete Righi. "Exciton–Phonon Interactions in Strained Domes of Monolayer MoS2 Studied by Resonance Raman Spectroscopy." Nanomaterials 13, no. 19 (October 7, 2023): 2722. http://dx.doi.org/10.3390/nano13192722.

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This work describes a resonance Raman study performed in the domes of monolayer MoS2 using 23 different laser excitation energies covering the visible and near-infrared (NIR) ranges. The multiple excitation results allowed us to investigate the exciton–phonon interactions of different phonons (A′1, E′, and LA) with different excitonic optical transitions in biaxially strained monolayer MoS2. The analysis of the intensities of the two first-order peaks, A′1 and E′, and the double-resonance 2LA Raman band as a function of the laser excitation furnished the values of the energies of the indirect exciton and the direct excitonic transitions in the strained MoS2 domes. It was noticed that the out-of-plane A′1 phonon mode is significantly enhanced only by the indirect exciton I and the C exciton, whereas the in-plane E′ mode is only enhanced by the C exciton of the MoS2 dome, thus revealing the weak interaction of these phonons with the A and B excitons in the strained MoS2 domes. On the other hand, the 2LA Raman band is significantly enhanced at the indirect exciton I and by the A (or B) exciton but not enhanced by the C exciton, thus showing that the LA edge phonons that participate in the double-resonance process in MoS2 have a weak interaction with the C exciton.
48

SINGH, R. K., R. P. SINGH, and M. P. SINGH. "ACOUSTICAL CHARACTERIZATION OF NANOSTRUCTURED METAL." International Journal of Nanoscience 07, no. 06 (December 2008): 315–23. http://dx.doi.org/10.1142/s0219581x08005481.

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Ultrasonic attenuation due to phonon–phonon interaction, thermoelastic loss and dislocation damping arising from screw and edge dislocations has been evaluated in nanocrystalline copper (13 nm) in the temperature range 50–500 K, and size-dependent attenuation at a constant temperature for longitudinal and shear modes of propagation. Second and third order elastic constants have been obtained, taking the nearest neighbor distance and the hardness parameter as input data. SOEC and TOEC (obtained at different temperatures) have been used to obtain Grüneisen parameters and nonlinearity parameters, which in turn have been used to evaluate α/f2 for longitudinal and shear waves. Results have been discussed, and compared with available experimental values. It has been found that α/f2 increases with temperature and a significant contribution to the total attenuation occurs due to scattering from grain boundaries, and ultrasonic attenuation due to thermoelastic loss is negligible compared to phonon–phonon interaction, establishing that the major part of energy from the sound wave is removed owing to the interaction of acoustic phonons with thermal phonons (lattice vibrations).
49

Zhao, Guojun, X. X. Liang, and S. L. Ban. "Binding Energies of Excitons in GaAs/AlAs Quantum Wells Under Pressure." Modern Physics Letters B 17, no. 16 (July 10, 2003): 863–70. http://dx.doi.org/10.1142/s0217984903005329.

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The binding energy of an exciton in the GaAs/AlAs quantum well is discussed including the influence of interface optical phonons and bulk longitudinal optical phonons confined in the well under hydrostatic pressure. The dependence of the phonon energies on pressure is considered using a linear interpolation method to obtain the pressure effect on the exciton binding energy by a variational calculation. The result shows that the polaronic effect on the exciton binding energies cannot be neglected and the pressure effect on the exciton-phonon interaction is obvious.
50

HSU, HSIUNG, TONG-NING LI, and YUE XU. "PHONON EXCITATION IN STIMULATED BRILLOUIN SCATTERING." Journal of Nonlinear Optical Physics & Materials 10, no. 03 (September 2001): 297–303. http://dx.doi.org/10.1142/s0218863501000644.

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Stimulated Brillouin Scattering (SBS) is an example of traveling wave parametric interaction involving photons and phonons. When one of the interacting waves is a backward traveling wave, which yields spatial nonlinear distributed regeneration covering the entire medium, the system exhibits a typical backward traveling wave parametric interaction. It may oscillate with a distinct threshold. The generation of backward traveling light becomes known as optical phase conjugation. In this paper, both pulsed and continuous wave modes of phonon excitations for SBS are described.

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