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Journal articles on the topic 'Su-Schrieffer-Heeger model'

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Published: 25 May 2024

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1

Zoli, Marco. "Spectral properties of the Su–Schrieffer–Heeger model." Solid State Communications 122, no. 10 (June 2002): 531–35. http://dx.doi.org/10.1016/s0038-1098(02)00183-7.

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2

Zoli, Marco. "Thermodynamics of a continuum Su–Schrieffer–Heeger model." Physica B: Condensed Matter 344, no. 1-4 (February 2004): 372–78. http://dx.doi.org/10.1016/j.physb.2003.10.015.

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3

Zoli, Marco. "Dimensionality effects on the Su–Schrieffer–Heeger model." Physica C: Superconductivity 384, no. 3 (February 2003): 274–82. http://dx.doi.org/10.1016/s0921-4534(02)01883-x.

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4

ZOLI, M. "Polaronic features in the Su?Schrieffer?Heeger model." Physica B: Condensed Matter 329-333 (May 2003): 1554–55. http://dx.doi.org/10.1016/s0921-4526(02)02292-5.

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5

Oztas, Z., and N. Candemir. "Su-Schrieffer-Heeger model with imaginary gauge field." Physics Letters A 383, no. 15 (May 2019): 1821–24. http://dx.doi.org/10.1016/j.physleta.2019.02.037.

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6

Kwapisz, Jan H., and Leszek Z. Stolarczyk. "Applications of Hückel-Su-Schrieffer-Heeger method." Structural Chemistry 32, no. 4 (May 11, 2021): 1393–406. http://dx.doi.org/10.1007/s11224-021-01782-2.

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AbstractThe equilibrium carbon-carbon (C-C) bond lengths in π-electron hydrocarbons are very sensitive to the electronic ground-state characteristic. In the recent two papers by Stolarczyk and Krygowski (J Phys Org Chem, 34:e4154,e4153, 2021) a simple quantum approach, the Augmented Hückel Molecular Orbital (AugHMO) model, is proposed for the qualitative, as well as quantitative, study of this phenomenon. The simplest realization of the AugHMO model is the Hückel-Su-Schrieffer-Heeger (HSSH) method, in which the resonance integral β of the HMO model is a linear function the bond length. In the present paper, the HSSH method is applied in a study of C-C bond lengths in a set of 34 selected polycyclic aromatic hydrocarbons (PAHs). This is exactly the set of molecules analyzed by Riegel and Müllen (J Phys Org Chem, 23:315, 2010) in the context of their electronic-excitation spectra. These PAHs have been obtained by chemical synthesis, but in most cases no diffraction data (by X-rays or neutrons) of sufficient quality is available to provide us with their geometry. On the other hand, these PAHs are rather big (up to 96 carbon atoms), and ab initio methods of quantum chemistry are too expensive for a reliable geometry optimization. That makes the HSSH method a very attractive alternative. Our HSSH calculations uncover a modular architecture of certain classes of PAHs. For the studied molecules (and their fragments – modules), we calculate the values of the aromaticity index HOMA.
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7

Jin, Kyung-Hwan, and Feng Liu. "1D topological phases in transition-metal monochalcogenide nanowires." Nanoscale 12, no. 27 (2020): 14661–67. http://dx.doi.org/10.1039/d0nr03529g.

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8

Yahyavi, M., L. Saleem, and B. Hetényi. "Variational study of the interacting, spinless Su–Schrieffer–Heeger model." Journal of Physics: Condensed Matter 30, no. 44 (October 11, 2018): 445602. http://dx.doi.org/10.1088/1361-648x/aae0a4.

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9

Vos, Fernando L. J., Daniel P. Aalberts, and Wim van Saarloos. "Su-Schrieffer-Heeger model applied to chains of finite length." Physical Review B 53, no. 22 (June 1, 1996): 14922–28. http://dx.doi.org/10.1103/physrevb.53.14922.

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10

Michielsen, Kristel, and Hans De Raedt. "Quantum molecular dynamics study of the Su-Schrieffer-Heeger model." Zeitschrift für Physik B Condensed Matter 103, no. 3 (April 1997): 391–400. http://dx.doi.org/10.1007/s002570050393.

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11

Chao, K. A., and Y. Wang. "Phonon modes in the Su-Schrieffer-Heeger model for polyacetylene." Journal of Physics C: Solid State Physics 18, no. 36 (December 30, 1985): L1127—L1132. http://dx.doi.org/10.1088/0022-3719/18/36/003.

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12

Coutant, Antonin, Vassos Achilleos, Olivier Richoux, Georgios Theocharis, and Vincent Pagneux. "Subwavelength Su-Schrieffer-Heeger topological modes in acoustic waveguides." Journal of the Acoustical Society of America 151, no. 6 (June 2022): 3626–32. http://dx.doi.org/10.1121/10.0011550.

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Topological systems furnish a powerful way of localizing wave energy at edges of a structured material. Usually, this relies on Bragg scattering to obtain bandgaps with nontrivial topological structures. However, this limits their applicability to low frequencies because that would require very large structures. A standard approach to address the problem is to add resonating elements inside the material to open gaps in the subwavelength regime. Unfortunately, generally, one has no precise control on the properties of the obtained topological modes, such as their frequency or localization length. In this work, a unique construction is proposed to couple acoustic resonators such that acoustic modes are mapped exactly to the eigenmodes of the Su-Schrieffer-Heeger (SSH) model. The relation between energy in the lattice model and the acoustic frequency is controlled by the characteristics of the resonators. In this way, SSH topological modes are obtained at any given frequency, for instance, in the subwavelength regime. The construction is also generalized to obtain well-controlled topological edge modes in alternative tunable configurations.
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13

Ribeiro Junior, Luiz Antonio, Wiliam Ferreira da Cunha, Antonio Luciano de Almeida Fonseca, Ricardo Gargano, and Geraldo Magela e Silva. "Concentration effects on intrachain polaron recombination in conjugated polymers." Physical Chemistry Chemical Physics 17, no. 2 (2015): 1299–308. http://dx.doi.org/10.1039/c4cp04514a.

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The influence of different charge carrier concentrations on the recombination dynamics between oppositely charged polarons is numerically investigated using a modified version of the Su–Schrieffer–Heeger (SSH) model that includes an external electric field and electron–electron interactions.
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14

da Cunha, Wiliam Ferreira, Luiz Antonio Ribeiro Junior, Ricardo Gargano, and Geraldo Magela e Silva. "Critical temperature and products of intrachain polaron recombination in conjugated polymers." Phys. Chem. Chem. Phys. 16, no. 32 (2014): 17072–80. http://dx.doi.org/10.1039/c4cp02184c.

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The intrachain recombination dynamics between oppositely charged polarons is theoretically investigated through the use of a version of the Su–Schrieffer–Heeger (SSH) model modified to include an external electric field, an extended Hubbard model, Coulomb interactions, and temperature effects in the framework of a nonadiabatic evolution method.
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15

AMARAL, MARCIA G. DO, and C. ARAGÃO DE CARVALHO. "A HYBRID MONTE CARLO STUDY OF THE SU-SCHRIEFFER-HEEGER MODEL." International Journal of Modern Physics C 05, no. 03 (June 1994): 459–81. http://dx.doi.org/10.1142/s0129183194000659.

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We study, using the Hybrid Monte Carlo Method, the behavior of the spinless SuSchrieffer-Heeger model that describes conducting polymers, as a function of the Yukawa coupling constant, the fermion mass and the chemical potential, which simulates doping. We measure the expectation value of the bosonic fields, φ, and of the fermionic fields, [Formula: see text], in the phase space of all parameters. We exhibit the phase diagram of the theory and look for the presence of solitons, polarons and bipolarons in the configurations generated.
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16

Li, Xin, Yan Meng, Xiaoxiao Wu, Sheng Yan, Yingzhou Huang, Shuxia Wang, and Weijia Wen. "Su-Schrieffer-Heeger model inspired acoustic interface states and edge states." Applied Physics Letters 113, no. 20 (November 12, 2018): 203501. http://dx.doi.org/10.1063/1.5051523.

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17

Jiang, Jie. "Optical Absorption Spectra in Zigzag Fullerene Tubes." Modern Physics Letters B 11, no. 15 (June 30, 1997): 667–72. http://dx.doi.org/10.1142/s0217984997000815.

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The optical absorption spectra of zigzag fullerene tubes have been studied by using the extended Su–Schrieffer–Heeger model with the Coulomb interaction included. The numerical results indicate that the carbon number and the Coulomb interaction have great effects on the optical absorption spectra.
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18

MICHIELSEN, KRISTEL, and HANS DE RAEDT. "METAL-INSULATOR TRANSITION AND FRÖHLICH CONDUCTIVITY IN THE SU-SCHRIEFFER-HEEGER MODEL." Modern Physics Letters B 10, no. 18 (August 10, 1996): 855–61. http://dx.doi.org/10.1142/s0217984996000973.

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A quantum molecular dynamics technique is used to study the single-particle density of states, Drude weight, optical conductivity and flux quantization in the Su-Schrieffer-Heeger (SSH) model. Our simulation data show that the SSH model has a metal-insulator transition away from half-filling. In the metallic phase the electron transport is collective and shows the features characteristic of Fröhlich conductivity.
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19

Borja, Carla, Esther Gutiérrez, and Alexander López. "Emergence of Floquet edge states in the coupled Su–Schrieffer–Heeger model." Journal of Physics: Condensed Matter 34, no. 20 (March 15, 2022): 205701. http://dx.doi.org/10.1088/1361-648x/ac5865.

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Abstract The emergence of non equilibrium topological phases in low dimensional systems offers an interesting route for material properties engineering. We analyze the dynamical modulation of two coupled one-dimensional chains, described by the Su–Schrieffer–Heeger model. We find that the interplay of driving interactions and interchain coupling leads to the emergence of non-equilibrium edge states with nontrivial topological properties. Using an effective Hamiltonian approach, we quantify the emergent topological phases via the winding number and show that oscillations in the mean pseudospin polarization arise as a consequence of the periodic modulation. The patterns of these pseudospin oscillations are different for the static trivial and topological phases offering a dynamical means to distinguish both physical configurations. The system also exhibits non integer values of the winding number, which have been recently reported experimentally in connection to spin textures.
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20

Li, Shuai, Min Liu, Fuli Li, and Bo Liu. "Topological phase transition of the extended non-Hermitian Su-Schrieffer-Heeger model." Physica Scripta 96, no. 1 (November 11, 2020): 015402. http://dx.doi.org/10.1088/1402-4896/abc580.

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21

Wu, C. Q., X. Sun, and Y. Kawazoe. "Quantum effects on the phonon excitations of the Su-Schrieffer-Heeger model." Synthetic Metals 85, no. 1-3 (March 1997): 1165–66. http://dx.doi.org/10.1016/s0379-6779(97)80197-x.

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22

Bahari, Masoud, and Mir Vahid Hosseini. "Topological properties of a generalized spin–orbit-coupled Su–Schrieffer–Heeger model." Physica E: Low-dimensional Systems and Nanostructures 119 (May 2020): 113973. http://dx.doi.org/10.1016/j.physe.2020.113973.

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23

Voo, Khee-Kyun, and Chung-Yu Mou. "Phases and density of states in a generalized Su–Schrieffer–Heeger model." Physica B: Condensed Matter 344, no. 1-4 (February 2004): 224–30. http://dx.doi.org/10.1016/j.physb.2003.09.262.

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24

Fu, Rouli, Zhigang Shuai, Jie Liu, Xin Sun, and J. Charles Hicks. "Bound states trapped by the soliton in the Su-Schrieffer-Heeger model." Physical Review B 38, no. 9 (September 15, 1988): 6298–300. http://dx.doi.org/10.1103/physrevb.38.6298.

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25

Li, Chun-Fang, Li-Na Luan, and Lin-Cheng Wang. "Topological Properties of an Extend Su-Schrieffer-Heeger Model Under Periodic Kickings." International Journal of Theoretical Physics 59, no. 9 (July 18, 2020): 2852–66. http://dx.doi.org/10.1007/s10773-020-04545-7.

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26

Bocharov, A. A. "Topological edge solitons in the non-Hermitian nonlinear Su-Schrieffer-Heeger model." Chaos, Solitons & Fractals 172 (July 2023): 113545. http://dx.doi.org/10.1016/j.chaos.2023.113545.

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27

Yu, Z., H. Lin, R. Zhou, Z. Li, Z. Mao, K. Peng, Y. Liu, and X. Shi. "Topological valley crystals in a photonic Su–Schrieffer–Heeger (SSH) variant." Journal of Applied Physics 132, no. 16 (October 28, 2022): 163101. http://dx.doi.org/10.1063/5.0107211.

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Progress on two-dimensional materials has shown that valleys, as energy extrema in a hexagonal first Brillouin zone, provide a new degree of freedom for information manipulation. Then, valley Hall topological insulators supporting such-polarized edge states on boundaries were set up accordingly. In this paper, a two-dimensional valley crystal composed of six tunable dielectric triangular pillars in each unit cell is proposed in the photonic sense of a deformed Su–Schrieffer–Heeger model. We reveal the vortex nature of valley states and establish the selection rules for valley-polarized states. Based on the valley topology, a rhombus-shaped beam splitter waveguide is designed to verify the valley-chirality selection rule above. Our numerical results entail that this topologically protected edge states still maintain robust transmission at sharp corners, thus providing a feasible idea for valley photonic devices in the THz regime.
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28

Liu, Shuo, Wenlong Gao, Qian Zhang, Shaojie Ma, Lei Zhang, Changxu Liu, Yuan Jiang Xiang, Tie Jun Cui, and Shuang Zhang. "Topologically Protected Edge State in Two-Dimensional Su–Schrieffer–Heeger Circuit." Research 2019 (February 5, 2019): 1–8. http://dx.doi.org/10.34133/2019/8609875.

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Topological circuits, an exciting field just emerged over the last two years, have become a very accessible platform for realizing and exploring topological physics, with many of their physical phenomena and potential applications as yet to be discovered. In this work, we design and experimentally demonstrate a topologically nontrivial band structure and the associated topologically protected edge states in an RF circuit, which is composed of a collection of grounded capacitors connected by alternating inductors in the x and y directions, in analogy to the Su–Schrieffer–Heeger model. We take full control of the topological invariant (i.e., Zak phase) as well as the gap width of the band structure by simply tuning the circuit parameters. Excellent agreement is found between the experimental and simulation results, both showing obvious nontrivial edge state that is tightly bound to the circuit boundaries with extreme robustness against various types of defects. The demonstration of topological properties in circuits provides a convenient and flexible platform for studying topological materials and the possibility for developing flexible circuits with highly robust circuit performance.
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29

Liu, Shuo, Wenlong Gao, Qian Zhang, Shaojie Ma, Lei Zhang, Changxu Liu, Yuan Jiang Xiang, Tie Jun Cui, and Shuang Zhang. "Topologically Protected Edge State in Two-Dimensional Su–Schrieffer–Heeger Circuit." Research 2019 (February 5, 2019): 1–8. http://dx.doi.org/10.1155/2019/8609875.

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Topological circuits, an exciting field just emerged over the last two years, have become a very accessible platform for realizing and exploring topological physics, with many of their physical phenomena and potential applications as yet to be discovered. In this work, we design and experimentally demonstrate a topologically nontrivial band structure and the associated topologically protected edge states in an RF circuit, which is composed of a collection of grounded capacitors connected by alternating inductors in the x and y directions, in analogy to the Su–Schrieffer–Heeger model. We take full control of the topological invariant (i.e., Zak phase) as well as the gap width of the band structure by simply tuning the circuit parameters. Excellent agreement is found between the experimental and simulation results, both showing obvious nontrivial edge state that is tightly bound to the circuit boundaries with extreme robustness against various types of defects. The demonstration of topological properties in circuits provides a convenient and flexible platform for studying topological materials and the possibility for developing flexible circuits with highly robust circuit performance.
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30

Tusnin, A. K., A. M. Tikan, and T. J. Kippenberg. "Dissipative Kerr solitons at the edge state of the Su-Schrieffer—Heeger model." Journal of Physics: Conference Series 2015, no. 1 (November 1, 2021): 012159. http://dx.doi.org/10.1088/1742-6596/2015/1/012159.

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Abstract We investigate analytically and numerically dynamics of dissipative Kerr solitons (DKS) at the edge state of the Su-Schrieffer–Heeger model. We demonstrate that four-wave mixing processes can lead to the formation of DKSs in the edge state of the resonator chain which subsequently initiates photon transfer to the bulk states. We discuss how the edge state soliton can be stabilized by limiting its width within the band gap. Our results contribute to advanced dispersion engineering via mode hybridization in chains of resonators — one of promising ways to achieve broadband frequency combs generation on chip.
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31

Rappoport, Tatiana G., Yuliy V. Bludov, Frank H. L. Koppens, and Nuno M. R. Peres. "Topological Graphene Plasmons in a Plasmonic Realization of the Su–Schrieffer–Heeger Model." ACS Photonics 8, no. 6 (May 24, 2021): 1817–23. http://dx.doi.org/10.1021/acsphotonics.1c00417.

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32

Shirasaki, Ryōen, and Yasushi Wada. "New Electronic States Localized at a Soliton in the Su-Schrieffer-Heeger Model." Journal of the Physical Society of Japan 59, no. 8 (August 15, 1990): 2856–64. http://dx.doi.org/10.1143/jpsj.59.2856.

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33

Marinček, Sara Pia, Jernej Mravlje, and Tomaž Rejec. "Slow Quenches in the Band Insulator Described by the Su–Schrieffer–Heeger Model." physica status solidi (b) 257, no. 5 (December 12, 2019): 1900425. http://dx.doi.org/10.1002/pssb.201900425.

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34

DE CARVALHO, C. ARAGÃO. "ON THE DIMERIZATION OF LINEAR POLYMERS." Modern Physics Letters B 03, no. 02 (February 1989): 125–33. http://dx.doi.org/10.1142/s0217984989000224.

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We use the continuum limit of the Su-Schrieffer-Heeger model for linear polymers to construct its effective potential (Gibbs free energy) both at zero and finite temperature. We study both trans and cis-polymers. Our results show that, depending on a renormalization condition to be extracted from experiment, there are several possibilities for the minima of the dimerized ground state of cis-polymers. All calculations are done in the one-loop approximation.
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35

Schobert, Arne, Jan Berges, Tim Wehling, and Erik van Loon. "Downfolding the Su-Schrieffer-Heeger model." SciPost Physics 11, no. 4 (October 20, 2021). http://dx.doi.org/10.21468/scipostphys.11.4.079.

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Charge-density waves are responsible for symmetry-breaking displacements of atoms and concomitant changes in the electronic structure. Linear response theories, in particular density-functional perturbation theory, provide a way to study the effect of displacements on both the total energy and the electronic structure based on a single ab initio calculation. In downfolding approaches, the electronic system is reduced to a smaller number of bands, allowing for the incorporation of additional correlation and environmental effects on these bands. However, the physical contents of this downfolded model and its potential limitations are not always obvious. Here, we study the potential-energy landscape and electronic structure of the Su-Schrieffer-Heeger (SSH) model, where all relevant quantities can be evaluated analytically. We compare the exact results at arbitrary displacement with diagrammatic perturbation theory both in the full model and in a downfolded effective single-band model, which gives an instructive insight into the properties of downfolding. An exact reconstruction of the potential-energy landscape is possible in a downfolded model, which requires a dynamical electron-biphonon interaction. The dispersion of the bands upon atomic displacement is also found correctly, where the downfolded model by construction only captures spectral weight in the target space. In the SSH model, the electron-phonon coupling mechanism involves exclusively hybridization between the low- and high-energy bands and this limits the computational efficiency gain of downfolded models.
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36

Coutant, Antonin, Audrey Sivadon, Liyang Zheng, Vassos Achilleos, Olivier Richoux, Georgios Theocharis, and Vincent Pagneux. "Acoustic Su-Schrieffer-Heeger lattice: Direct mapping of acoustic waveguides to the Su-Schrieffer-Heeger model." Physical Review B 103, no. 22 (June 23, 2021). http://dx.doi.org/10.1103/physrevb.103.224309.

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37

Li, Yu-Hang, and Ran Cheng. "Magnonic Su-Schrieffer-Heeger model in honeycomb ferromagnets." Physical Review B 103, no. 1 (January 6, 2021). http://dx.doi.org/10.1103/physrevb.103.014407.

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38

Ye, Bing-Tian, Liang-Zhu Mu, and Heng Fan. "Entanglement spectrum of Su-Schrieffer-Heeger-Hubbard model." Physical Review B 94, no. 16 (October 26, 2016). http://dx.doi.org/10.1103/physrevb.94.165167.

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39

Zoli, Marco. "Mass renormalization in the Su-Schrieffer-Heeger model." Physical Review B 66, no. 1 (July 16, 2002). http://dx.doi.org/10.1103/physrevb.66.012303.

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40

Jin, Tony, Paola Ruggiero, and Thierry Giamarchi. "Bosonization of the interacting Su-Schrieffer-Heeger model." Physical Review B 107, no. 20 (May 17, 2023). http://dx.doi.org/10.1103/physrevb.107.l201111.

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41

"Dynamical phase diagram of Su-Schrieffer-Heeger model." Iranian Journal of Physics Research 22, no. 2 (September 1, 2022). http://dx.doi.org/10.47176/ijpr.22.2.11394.

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42

Gorlach, M. A., and A. P. Slobozhanyuk. "Nonlinear topological states in the Su–Schrieffer–Heeger model." Nanosystems: Physics, Chemistry, Mathematics, December 26, 2017, 695–700. http://dx.doi.org/10.17586/2220-8054-2017-8-6-695-700.

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43

Obana, Daichi, Feng Liu, and Katsunori Wakabayashi. "Topological edge states in the Su-Schrieffer-Heeger model." Physical Review B 100, no. 7 (August 29, 2019). http://dx.doi.org/10.1103/physrevb.100.075437.

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44

Xie, Dizhou, Wei Gou, Teng Xiao, Bryce Gadway, and Bo Yan. "Topological characterizations of an extended Su–Schrieffer–Heeger model." npj Quantum Information 5, no. 1 (May 30, 2019). http://dx.doi.org/10.1038/s41534-019-0159-6.

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45

Di Liberto, M., A. Recati, I. Carusotto, and C. Menotti. "Two-body physics in the Su-Schrieffer-Heeger model." Physical Review A 94, no. 6 (December 22, 2016). http://dx.doi.org/10.1103/physreva.94.062704.

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46

Fomichev, Stepan, and Mona Berciu. "Renormalized phonon spectrum in the Su-Schrieffer-Heeger model." Journal of Physics: Materials, May 19, 2023. http://dx.doi.org/10.1088/2515-7639/acd723.

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Abstract Motivated to understand phonon spectrum renormalization in the ground state of the half-filled Su-Schrieffer-Heeger model, we use the Born-Oppenheimer approximation together with the harmonic approximation to evaluate semi-analytically the all-to-all real-space ionic force constants generated through both linear and quadratic electron-phonon coupling. We then compute the renormalized phonon spectrum and the corresponding lattice zero-point energy as a function of the lattice dimerization. Crucially, the latter is included in the system's total energy, and thus has a direct effect on the equilibrium dimerization. We find that inclusion of a small quadratic coupling leads to very significant changes in the predicted equilibrium dimerization, calling into question the use of the linear approximation for this model. We also argue that inclusion of the zero-point energy is key for systems with comparable lattice and electronic energies, and/or for finite size chains. Our method can be straightforwardly generalized to study similar problems in higher dimensions.
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47

van Niekerk, Chani Stella, and Robert Warmbier. "Characterization of the 2D Su‐Schrieffer‐Heeger Model with Second‐Nearest‐Neighbor Interactions." physica status solidi (b), November 8, 2023. http://dx.doi.org/10.1002/pssb.202300241.

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It is known that a two dimensional dimerized Su‐Schrieffer‐Heeger model can produce a non‐trivial topological phase. It is a simple nearest‐neighbor model with four lattice sites in two dimensions. The Su‐Schrieffer‐Heeger model is easy to analyse but neglects important interaction in physical systems. In this work, an extended version of this model is proposed which includes all possible second nearest neighbor interactions in order to grant more flexibility when describing realistic systems. The addition of these interactions change the symmetry of the model and as a result affect the topological properties. In order to characterize the topological changes to the model, a polarization invariant is used. It is further shown that these symmetry breaking interactions can be used to evoke a topological phase transition as well.This article is protected by copyright. All rights reserved.
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48

Chen, M. N., X. J. Yu, and Z. Li. "Emergent Long-lived Zitterbewegung in Su–Schrieffer–Heeger Lattice with Third-nearest-neighbor Hopping." JETP Letters, May 15, 2023. http://dx.doi.org/10.1134/s0021364023600386.

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We investigate the wavepacket dynamics of quasiparticles in a Su–Schrieffer–Heeger lattice with third-nearest-neighb or hopping. The results reveal that the life-span of Zitterbewegung can be prolonged. To better understand the mechanism, we discuss the band structure and the long-time average of inverse participation rate. The results show that the band structure can be effectively manipulated as a quasi-flat band by introducing the third-nearest-neighb or hopping. This, as a unique advantage over the standard Su–Schrieffer–Heeger model, will bring about restrained diffusion of the wavepacket as well as dramatically stretched life-span of Zitterbewegung, thus will promise wide applications in condensed matter physics.
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49

Cai, Xun, Zi-Xiang Li, and Hong Yao. "Robustness of antiferromagnetism in the Su-Schrieffer-Heeger Hubbard model." Physical Review B 106, no. 8 (August 18, 2022). http://dx.doi.org/10.1103/physrevb.106.l081115.

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50

Anastasiadis, Adamantios, Georgios Styliaris, Rajesh Chaunsali, Georgios Theocharis, and Fotios K. Diakonos. "Bulk-edge correspondence in the trimer Su-Schrieffer-Heeger model." Physical Review B 106, no. 8 (August 5, 2022). http://dx.doi.org/10.1103/physrevb.106.085109.

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