Relevant bibliographies by topics / Anderson localization-delocalization transition points

Academic literature on the topic 'Anderson localization-delocalization transition points'

Author: Grafiati
Published: 6 September 2023

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Journal articles on the topic "Anderson localization-delocalization transition points"

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RODRÍGUEZ, A., V. A. MALYSHEV, F. DOMÍNGUEZ-ADAME, and J. P. LEMAISTRE. "ANDERSON TRANSITION IN TWO-DIMENSIONAL DISORDERED LATTICES WITH LONG-RANGE COUPLING." International Journal of Modern Physics B 15, no. 28n30 (December 10, 2001): 3928–31. http://dx.doi.org/10.1142/s0217979201009025.

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We provide arguments indicating that an Anderson transition may exist in two-dimensional disordered systems with long-range coupling. As a working example, a two-dimensional dipolar Frenkel exciton Hamiltonian is used in order to confirm the existence of a localization-delocalization transition. It is found that the states of one of the band tails, but not of the band center, undergo the continuous Anderson transition.
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Canali, C. M., Chaitali Basu, W. Stephan, and V. E. Kravtsov. "Distribution of level curvatures for the Anderson model at the localization-delocalization transition." Physical Review B 54, no. 3 (July 15, 1996): 1431–34. http://dx.doi.org/10.1103/physrevb.54.1431.

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GERMINET, FRANÇOIS, ABEL KLEIN, and JEFFREY H. SCHENKER. "QUANTIZATION OF THE HALL CONDUCTANCE AND DELOCALIZATION IN ERGODIC LANDAU HAMILTONIANS." Reviews in Mathematical Physics 21, no. 08 (September 2009): 1045–80. http://dx.doi.org/10.1142/s0129055x09003815.

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We prove quantization of the Hall conductance for continuous ergodic Landau Hamiltonians under a condition on the decay of the Fermi projections. This condition and continuity of the integrated density of states are shown to imply continuity of the Hall conductance. In addition, we prove the existence of delocalization near each Landau level for these two-dimensional Hamiltonians. More precisely, we prove that for some ergodic Landau Hamiltonians, there exists an energy E near each Landau level where a "localization length" diverges. For the Anderson–Landau Hamiltonian, we also obtain a transition between dynamical localization and dynamical delocalization in the Landau bands, with a minimal rate of transport, even in cases when the spectral gaps are closed.
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Vuatelet, Vincent, and Adam Rançon. "Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential." Quantum 7 (February 9, 2023): 917. http://dx.doi.org/10.22331/q-2023-02-09-917.

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The quantum kicked rotor is well-known for displaying dynamical (Anderson) localization. It has recently been shown that a periodically kicked Tonks gas will always localize and converge to a finite energy steady-state. This steady-state has been described as being effectively thermal with an effective temperature that depends on the parameters of the kick. Here we study a generalization to a quasi-periodic driving with three frequencies which, without interactions, has a metal-insulator Anderson transition. We show that a quasi-periodically kicked Tonks gas goes through a dynamical many-body delocalization transition when the kick strength is increased. The localized phase is still described by a low effective temperature, while the delocalized phase corresponds to an infinite-temperature phase, with the temperature increasing linearly in time. At the critical point, the momentum distribution of the Tonks gas displays different scaling at small and large momenta (contrary to the non-interacting case), signaling a breakdown of the one-parameter scaling theory of localization.
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GUO, Z. Z., Z. G. XUAN, Y. S. ZHANG, and XIAOWEI WU. "ENTANGLEMENT IN ONE-AND TWO-DIMENSIONAL ANDERSON MODELS WITH LONG-RANGE CORRELATED-DISORDER." International Journal of Quantum Information 07, no. 05 (August 2009): 959–68. http://dx.doi.org/10.1142/s0219749909005559.

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The ground state entanglement in one- and two-dimensional Anderson models are studied with consideration of the long-range correlation effects and using the measures of concurrence and von Neumann entropy. We compare the effects of the long-range power-law correlation for the on-site energies on entanglement with the uncorrelated cases. We demonstrate the existence of the band structure of the entanglement. The intraband and interband jumping phenomena of the entanglement are also reported and explained to as the localization-delocalization transition of the system. We also demonstrated the difference between the results of one- and two-dimensions. Our results show that the correlation of the on-site energies increases the entanglement.
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TRIVEDI, NANDINI, YEN LEE LOH, KARIM BOUADIM, and MOHIT RANDERIA. "ASPECTS OF LOCALIZATION ACROSS THE 2D SUPERCONDUCTOR-INSULATOR TRANSITION." International Journal of Modern Physics: Conference Series 11 (January 2012): 22–37. http://dx.doi.org/10.1142/s2010194512006137.

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It is well known that the metal-insulator transition in two dimensions for non-interacting fermions takes place at infinitesimal disorder. In contrast, the superconductor-to-insulator transition takes place at a finite critical disorder (on the order of Vc ~ 2t), where V is the typical width of the distribution of random site energies and t is the hopping scale. In this article we compare the localization/delocalization properties of one and two particles. Whereas the metal-insulator transition is a consequence of single-particle Anderson localization, the superconductor-insulator transition (SIT) is due to pair localization – or, alternatively, fluctuations of the phase conjugate to pair density. The central question we address is how superconductivity emerges from localized single-particle states. We address this question using inhomogeneous mean field theory and quantum Monte Carlo techniques and make several testable predictions for local spectroscopic probes across the SIT. We show that with increasing disorder, the system forms superconducting blobs on the scale of the coherence length embedded in an insulating matrix. In the superconducting state, the phases on the different blobs are coherent across the system whereas in the insulator long-range phase coherence is disrupted by quantum fluctuations. As a consequence of this emergent granularity, we show that the single-particle energy gap in the density of states survives across the transition, but coherence peaks exist only in the superconductor. A characteristic pseudogap persists above the critical disorder and critical temperature, in contrast to conventional theories. Surprisingly, the insulator has a two-particle gap scale that vanishes at the SIT despite a robust single-particle gap.
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Lee, Min Ho, Jae Hyun Yun, Gareoung Kim, Ji Eun Lee, Su-Dong Park, Heiko Reith, Gabi Schierning, et al. "Synergetic Enhancement of Thermoelectric Performance by Selective Charge Anderson Localization–Delocalization Transition in n-Type Bi-Doped PbTe/Ag2Te Nanocomposite." ACS Nano 13, no. 4 (February 8, 2019): 3806–15. http://dx.doi.org/10.1021/acsnano.8b08579.

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MÜLLER, M., K. BINDER, and E. V. ALBANO. "PHASE EQUILIBRIA IN THIN POLYMER FILMS." International Journal of Modern Physics B 15, no. 13 (May 30, 2001): 1867–903. http://dx.doi.org/10.1142/s0217979201004691.

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Within self-consistent field theory and Monte Carlo simulations the phase behavior of a symmetrical binary AB polymer blend confined into a thin film is studied. The film surfaces interact with the monomers via short ranged potentials. One surface attracts the A component and the corresponding semi-infinite system exhibits a first order wetting transition. The surface interaction of the opposite surface is varied as to study the crossover from capillary condensation for symmetric surface fields to interface localization/delocalization transition for antisymmetric surface fields. In the former case the phase diagram has a single critical point close to the bulk critical point. In the latter case the phase diagram exhibits two critical points which correspond to the prewetting critical points of the semi-infinite system. Only below a triple point there is a single two-phase coexistence region. The crossover between these qualitatively different limiting behaviors occurs gradually, however, the critical temperature and the critical composition exhibit a non-monotonic dependence on the surface field. The dependence of the phase behavior for antisymmetric boundaries is studied as a function of the film thickness and the strength of the surface interactions. Upon reducing the film thickness or decreasing the strength of the surface interactions we can change the order of the interface localization/delocalization transition from first to second. The role of fluctuations is explored via Monte Carlo simulations of a coarse grained lattice model. Close to the (prewetting) critical points we observe 2D Ising critical behavior. Also, there is a rich crossover behavior between Ising critical, tricritical and mean field behavior. At lower temperatures capillary waves of the AB interface lead to a pronounced dependence of the effective interface potential on the lateral system size.
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Vojta, Thomas. "Disorder in Quantum Many-Body Systems." Annual Review of Condensed Matter Physics 10, no. 1 (March 10, 2019): 233–52. http://dx.doi.org/10.1146/annurev-conmatphys-031218-013433.

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Impurities, defects, and other types of imperfections are ubiquitous in realistic quantum many-body systems and essentially unavoidable in solid state materials. Often, such random disorder is viewed purely negatively as it is believed to prevent interesting new quantum states of matter from forming and to smear out sharp features associated with the phase transitions between them. However, disorder is also responsible for a variety of interesting novel phenomena that do not have clean counterparts. These include Anderson localization of single-particle wave functions, many-body localization in isolated many-body systems, exotic quantum critical points, and glassy ground-state phases. This brief review focuses on two separate but related subtopics in this field. First, we review under what conditions different types of randomness affect the stability of symmetry-broken low-temperature phases in quantum many-body systems and the stability of the corresponding phase transitions. Second, we discuss the fate of quantum phase transitions that are destabilized by disorder as well as the unconventional quantum Griffiths phases that emerge in their vicinity.
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Wang, C., and X. R. Wang. "Anderson localization transitions in disordered non-Hermitian systems with exceptional points." Physical Review B 107, no. 2 (January 20, 2023). http://dx.doi.org/10.1103/physrevb.107.024202.

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Books on the topic "Anderson localization-delocalization transition points"

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Burda, Zdzislaw, and Jerzy Jurkiewicz. Phase transitions. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.14.

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This article considers phase transitions in matrix models that are invariant under a symmetry group as well as those that occur in some matrix ensembles with preferred basis, like the Anderson transition. It first reviews the results for the simplest model with a nontrivial set of phases, the one-matrix Hermitian model with polynomial potential. It then presents a view of the several solutions of the saddle point equation. It also describes circular models and their Cayley transform to Hermitian models, along with fixed trace models. A brief overview of models with normal, chiral, Wishart, and rectangular matrices is provided. The article concludes with a discussion of the curious single-ring theorem, the successful use of multi-matrix models in describing phase transitions of classical statistical models on fluctuating two-dimensional surfaces, and the delocalization transition for the Anderson, Hatano-Nelson, and Euclidean random matrix models.
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Conference papers on the topic "Anderson localization-delocalization transition points"

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Lawandy, Nabil M. "Light-induced transport and delocalization in transparent materials." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.tuii4.

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When an intense nonresonant field interacts with a two-level system, the wavefunctions are modified. Several approaches may be used to study this problem including the techniques of dressed state theory. When the two-level system is comprised of two midgap sites separated by a distance Rab and an energy in the absence of light shifts Wba, the light shifted energy separation becomes This effect acts on level pairs and therefore shifts all the energy levels closer to each other. With these results and the rough criteria for Anderson localization W > B (B is the energy bandwidth), we may arrive at a condition for which a transition from localized to extended states could occur. The resulting critical intensity is given by Using typical values of R = 15 Å, v = 3 ×1014 Hz, α = 0.2 AX−1, and W = 0.4 eV, we arrive at critical intensity for delocalization of I c = 10GW/cm2.
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