Quantized Hall Conductance in a Two-Dimensional Periodic Potential

Thouless, D. J., Kohmoto, M., Nightingale, M. P., den Nijs, M.·1982·Physical Review Letters

Cited by (1,008)

Items 801–900 of 1,008

  1. Effective gauge field theory of spintronics
    Gen Tatara · 2018 · Physica E Low-dimensional Systems and Nanostructures
  2. Strain-engineered topological phase transitions in ferrovalley 2 H − RuCl 2 monolayer
    Kang Sheng, Bokai Zhang, Hongkuan Yuan, Zhiyong Wang · 2022 · Physical review. B./Physical review. B
  3. Robust Second-Order Topological Insulators with Giant Valley Polarization in Two-Dimensional Honeycomb Ferromagnets
    Runhan Li, Ning Mao, Xinming Wu, Baibiao Huang, Ying Dai, Chengwang Niu · 2022 · Nano Letters
  4. Floquet engineering of long-range p -wave superconductivity
    M. Benito, Álvaro Gómez-León, V. M. Bastidas, Tobias Brandes, Gloria Platero · 2014 · Physical Review B
  5. Anomalous Hall effect in a two-dimensional electron gas with spin-orbit interaction
    Vitalii K Dugaev, P. Bruno, Mathieu Taillefumier, B. Canals, Claudine Lacroix · 2005 · Physical Review B
  6. Geometrical aspects in optical wave-packet dynamics
    Onoda, Masaru, Murakami, Shuichi, Nagaosa, Naoto · 2006 · Physical Review E
  7. Magnonic quantum Hall effect and Wiedemann-Franz law
    Kouki Nakata, Jelena Klinovaja, Daniel Loss · 2017 · Physical review. B./Physical review. B
  8. Large valley-polarized state in single-layer NbX2 (X = S, Se): Theoretical prediction
    Yanmei Zang, Yandong Ma, Rui Peng, Hao Wang, Baibiao Huang, Ying Dai · 2020 · Nano Research
  9. Topological Hamiltonian as an exact tool for topological invariants
    Zhong Wang, Binghai Yan · 2013 · Journal of Physics Condensed Matter
  10. Direct Observation of Topology from Single-Photon Dynamics
    Wang, Yao, Lu, Yong-Heng, Mei, Feng, Gao, Jun, Li, Zhan-Ming, Tang, Hao, Zhu, Shi-Liang, Jia, Suotang, Jin, Xian-Min · 2019 · Physical Review Letters
  11. Topological Defects in Symmetry-Protected Topological Phases
    Jeffrey C. Y. Teo, Taylor L. Hughes · 2017 · Annual Review of Condensed Matter Physics
  12. Interband coherence response to electric fields in crystals: Berry-phase contributions and disorder effects
    Dimitrie Culcer, Akihiko Sekine, Allan H. MacDonald · 2017 · Physical review. B./Physical review. B
  13. Topological Band Engineering of Lieb Lattice in Phthalocyanine-Based Metal–Organic Frameworks
    Wei Jiang, Shunhong Zhang, Zhengfei Wang, Feng Liu, Tony Low · 2020 · Nano Letters
  14. Observation of topological edge states induced solely by non-Hermiticity in an acoustic crystal
    He Gao, Haoran Xue, Qiang Wang, Zhongming Gu, Tuo Liu, Jie Zhu, Baile Zhang · 2020 · Physical review. B./Physical review. B
  15. Built-in electric field and strain tunable valley-related multiple topological phase transitions in VSi X N 4 ( X = C , Si , Ge , Sn , Pb ) monolayers
    Ping Li, Xiao Yu Yang, Qingsong Jiang, Yin‐Zhong Wu, Wei Xun · 2023 · Physical Review Materials
  16. Disappearance of Integer Quantum Hall Effect
    D. N. Sheng, Zheng-Yu Weng · 1997 · Physical Review Letters
  17. Experimental Observation of a Generalized Thouless Pump with a Single Spin
    Wenchao Ma, Longwen Zhou, Qi Zhang, Min Li, Chunyang Cheng, Jianpei Geng, Xing Rong, Fazhan Shi, Jiangbin Gong, Jiangfeng Du · 2018 · Physical Review Letters
  18. Electric Polarization in a Chern Insulator
    Sinisa Coh, David H. Vanderbilt · 2009 · Physical Review Letters
  19. Rydberg-atom quantum simulation and Chern-number characterization of a topological Mott insulator
    Alexandre Dauphin, Markus Müller, Miguel Angel Martin-Delgado · 2012 · Physical Review A
  20. Electrically tunable polarizer based on 2D orthorhombic ferrovalley materials
    Xin-Wei Shen, Wen-Yi Tong, Shi-Jing Gong, Chun-Gang Duan · 2017 · 2D Materials
  21. Gyrotropic Hall effect in Berry-curved materials
    Elio J. König, Maxim Dzero, Alex Levchenko, D. A. Pesin · 2019 · Physical review. B./Physical review. B
  22. Non-Hermitian fractional quantum Hall states
    Tsuneya Yoshida, Koji Kudo, Yasuhiro Hatsugai · 2019 · Scientific Reports
  23. Realization of Lieb lattice in covalent-organic frameworks with tunable topology and magnetism
    Bin Cui, Xingwen Zheng, Jianfeng Wang, Desheng Liu, Shijie Xie, Bing Qiang Huang · 2020 · RePEc: Research Papers in Economics
  24. Interferometric measurements of many-body topological invariants using mobile impurities
    Fabian Grusdt, Norman Y. Yao, Dmitry A. Abanin, Michael Fleischhauer, Eugene Demler · 2016 · Nature Communications
  25. Weyl semimetals with short-range interactions
    Joseph Maciejko, Rahul Nandkishore · 2014 · Physical Review B
  26. Dynamical Buildup of a Quantized Hall Response from Nontopological States
    Ying Hu, P. Zoller, Jan Carl Budich · 2016 · Physical Review Letters
  27. Topological edge states in acoustic Kagome lattices
    Xiang Ni, Maxim A. Gorlach, Andrea Alù, Alexander B. Khanikaev · 2017 · New Journal of Physics
  28. The translational side of topological band insulators
    Robert-Jan Slager · 2018 · Journal of Physics and Chemistry of Solids
  29. Optimal quantum valley Hall insulators by rationally engineering Berry curvature and band structure
    Zongliang Du, Hui Chen, Guoliang Huang · 2019 · Journal of the Mechanics and Physics of Solids
  30. Beyond graphene: Clean, hydrogenated and halogenated silicene, germanene, stanene, and plumbene
    F. Bechstedt, Paola Gori, Olivia Pulci · 2021 · Progress in Surface Science
  31. Hierarchy of Ideal Flatbands in Chiral Twisted Multilayer Graphene Models
    Jie Wang, Zhao Liu · 2022 · Physical Review Letters
  32. Localization of Chiral Edge States by the Non-Hermitian Skin Effect
    Gui-Geng Liu, Subhaskar Mandal, Peiheng Zhou, Xiang Xi, Rimi Banerjee, Yuan-Hang Hu, Minggui Wei, Maoren Wang, Qiang Wang, Zhen Liang Gao et al. · 2024 · Physical Review Letters
  33. Topological aspects of the quantum Hall effect
    Yasuhiro Hatsugai · 1997 · Journal of Physics Condensed Matter
  34. Quantum Hall effect with realistic boundary conditions
    Qian Niu, D. J. Thouless · 1987 · Physical review. B, Condensed matter
  35. Exploration and prediction of topological electronic materials based on first-principles calculations
    Weng, Hongming, Dai, Xi, Fang, Zhong · 2014 · MRS Bulletin
  36. First-principles Theory of Magnetic Multipoles in Condensed Matter Systems
    Michi-To Suzuki, Hiroaki Ikeda, Peter M. Oppeneer · 2018 · Journal of the Physical Society of Japan
  37. Visualizing electronic structures of quantum materials by angle-resolved photoemission spectroscopy
    Haifeng Yang, Aiji Liang, Cheng Chen, Chaofan Zhang, Niels B. M. Schröter, Yulin Chen · 2018 · Nature Reviews Materials
  38. Floquet analysis of excitations in materials
    Umberto De Giovannini, Hannes Hübener · 2019 · Journal of Physics Materials
  39. Local Disorder-Induced Elevation of Intrinsic Anomalous Hall Conductance in an Electron-Doped Magnetic Weyl Semimetal
    Jianlei Shen, Qiushi Yao, Qingqi Zeng, Hongyi Sun, Xuekui Xi, Guangheng Wu, Wenhong Wang, Baogen Shen, Qihang Liu, Enke Liu · 2020 · Physical Review Letters
  40. Orbital magnetic states in moiré graphene systems
    Jianpeng Liu, Xi Dai · 2021 · Nature Reviews Physics
  41. Two-dimensional valleytronic semiconductor with spontaneous spin and valley polarization in single-layer Cr 2 Se 3
    Zhonglin He, Rui Peng, Xiangyu Feng, Xilong Xu, Ying Dai, Baibiao Huang, Yandong Ma · 2021 · Physical review. B./Physical review. B
  42. Frustrated Quantum Magnets
    C. Lhuillier, Grégoire Misguich · 2002 · Lecture notes in physics
  43. Berry-phase description of topological crystalline insulators
    A. Alexandradinata, Bogdan Andrei Bernevig · 2016 · Physical review. B./Physical review. B
  44. Localization, wave-function topology, and the integer quantized Hall effect
    Daniel P. Arovas, R. N. Bhatt, F. D. M. Haldane, P. B. Littlewood, R. Rammal · 1988 · Physical Review Letters
  45. Non-Abelian Adiabatic Phases and the Fractional Quantum Hall Effect
    Gordon Walter Semenoff, Pasquale Sodano · 1986 · Physical Review Letters
  46. Möbius Kondo insulators
    Po-Yao Chang, Onur Erten, Piers Coleman · 2017 · Nature Physics
  47. Spin Pumping and Measurement of Spin Currents in Optical Superlattices
    C. Schweizer, Michael Lohse, R. Citro, Immanuel Bloch · 2016 · Physical Review Letters
  48. Six-dimensional quantum Hall effect and three-dimensional topological pumps
    Ioannis Petrides, Hannah M. Price, Oded Zilberberg · 2018 · Physical review. B./Physical review. B
  49. Discovering two-dimensional topological insulators from high-throughput computations
    Thomas Olsen, Erik Andersen, Takuya Okugawa, Daniele Torelli, Thorsten Deilmann, Kristian Sommer Thygesen · 2019 · Physical Review Materials
  50. Higher-Order Topological Mott Insulators
    Koji Kudo, Tsuneya Yoshida, Yasuhiro Hatsugai · 2019 · Physical Review Letters
  51. Valley degree of freedom in ferromagnetic Janus monolayer H-VSSe and the asymmetry-based tuning of the valleytronic properties
    Chaobo Luo, Xiangyang Peng, Jinfeng Qu, Jianxin Zhong · 2020 · Physical review. B./Physical review. B
  52. Two-Dimensional Transition Metal Dichalcogenides: A Theory and Simulation Perspective
    Sunny Gupta, Jun‐Jie Zhang, Jincheng Lei, Henry Yu, Mingjie Liu, Xiaolong Zou, Boris I. Yakobson · 2025 · Chemical Reviews
  53. Topological quantum phase transitions driven by external electric fields in Sb 2 Te 3 thin films
    Minsung Kim, Choong H. Kim, Heung‐Sik Kim, Jisoon Ihm · 2011 · Proceedings of the National Academy of Sciences
  54. Towards large-Chern-number topological phases by periodic quenching
    Tian-Shi Xiong, Jiangbin Gong, Jun‐Hong An · 2016 · Physical review. B./Physical review. B
  55. Coexistence of anomalous Hall effect and weak magnetization in a nominally collinear antiferromagnet MnTe
    K. P. Kluczyk, Katarzyna Gas, M. J. Grzybowski, P. Skupiński, Michal Adam Borysiewicz, Tomasz Fąs, J. Suffczyński, J. Z. Domagała, K. Grasza, A. Mycielski et al. · 2024 · Physical review. B./Physical review. B
  56. Berry Phase in a Composite System
    X. X. Yi, L. C. Wang, Tai-Yu Zheng · 2004 · Physical Review Letters
  57. Fluctuation-driven topological Hund insulators
    Jan Carl Budich, Björn Trauzettel, Giorgio Sangiovanni · 2013 · Physical Review B
  58. Floating of Extended States and Localization Transition in a Weak Magnetic Field
    Kun Yang, R. N. Bhatt · 1996 · Physical Review Letters
  59. Topological classification of defects in non-Hermitian systems
    Chunhui Liu, Shu Chen · 2019 · Physical review. B./Physical review. B
  60. Derivation of Wannier orbitals and minimal-basis tight-binding Hamiltonians for twisted bilayer graphene: First-principles approach
    Stephen Carr, Shiang Fang, Hoi Chun Po, Ashvin Vishwanath, Efthimios Kaxiras · 2019 · Physical Review Research
  61. Z Q topological invariants for Polyacetylene, Kagome and Pyrochlore lattices
    Yasuhiro Hatsugai, Isao Maruyama · 2011 · Europhysics Letters (EPL)
  62. Spontaneous symmetry breaking and quantum Hall effect in graphene
    Kun Yang · 2007 · Solid State Communications
  63. Vacuum Induced Spin-1/2 Berry’s Phase
    Ivette Fuentes, Angelo C. M. Carollo, Sougato Bose, Vlatko Vedral · 2002 · Physical Review Letters
  64. Anomalous Hall effects of light and chiral edge modes on the Kagomé lattice
    Petrescu, Alexandru, Houck, Andrew A., Le Hur, Karyn · 2012 · Physical Review A
  65. Quantum Hall effect in a one-dimensional dynamical system
    Jan P. Dahlhaus, Jonathan M. Edge, J. Tworzydło, C. W. J. Beenakker · 2011 · Physical Review B
  66. High-order fractal states in graphene superlattices
    Roshan Krishna Kumar, Artem Mishchenko, X. Chen, Sergio Pezzini, Gregory H. Auton, Leonid A. Ponomarenko, U. Zeitler, L. Eaves, Vladimir I. Fal’ko, Andre K. Geim · 2018 · Proceedings of the National Academy of Sciences
  67. Edge states and topological pumping in stiffness-modulated elastic plates
    Emanuele Riva, Matheus I. N. Rosa, Massimo Ruzzene · 2020 · Physical review. B./Physical review. B
  68. Theory for the Charge-Density-Wave Mechanism of 3D Quantum Hall Effect
    Fang Qin, Shuai Li, Z. Z. Du, C. M. Wang, Wenqing Zhang, Dapeng Yu, Hai‐Zhou Lu, Xin Xie · 2020 · Physical Review Letters
  69. Characterization of Topological Insulators: Chern Numbers for Ground State Multiplet
    Yasuhiro Hatsugai · 2005 · Journal of the Physical Society of Japan
  70. Topological invariants for interacting topological insulators with inversion symmetry
    Zhong Wang, Xiao-Liang Qi, Shoucheng Zhang · 2012 · Physical Review B
  71. Localization problem of a two-dimensional lattice in a random magnetic field
    Y. Avishai, Yasuhiro Hatsugai, Mahito Kohmoto · 1993 · Physical review. B, Condensed matter
  72. Weak Field Phase Diagram for an Integer Quantum Hall Liquid
    D. Z. Liu, Xin Xie, Q. Niu · 1996 · Physical Review Letters
  73. Edge voltages and distributed currents in the quantum Hall effect
    D. J. Thouless · 1993 · Physical Review Letters
  74. From the adiabatic theorem of quantum mechanics to topological states of matter
    Jan Carl Budich, Björn Trauzettel · 2013 · physica status solidi (RRL) - Rapid Research Letters
  75. Topological central charge from Berry curvature: Gravitational anomalies in trial wave functions for topological phases
    Barry Bradlyn, N. Read · 2015 · Physical Review B
  76. Landau-Zener Transition in the Dynamic Transfer of Acoustic Topological States
    Ze‐Guo Chen, Weiyuan Tang, Ruo-Yang Zhang, Zhaoxian Chen, Guancong Ma · 2021 · Physical Review Letters
  77. Non-Hermitian fractional quantum Hall states
    Tsuneya Yoshida, 0000004082, Yasuhiro Hatsugai, 0000000537, Kudo Koji · 2019 · Institutional Repositories DataBase (IRDB)
  78. Recent Progress in Proximity Coupling of Magnetism to Topological Insulators
    Semonti Bhattacharyya, Golrokh Akhgar, Matthew Gebert, Julie Karel, Mark T. Edmonds, Michael S. Fuhrer · 2021 · Advanced Materials
  79. Two-dimensional spin-filtered chiral network model for the Z2 quantum spin-Hall effect
    Hideaki Obuse, Akira Furusaki, Shinsei Ryu, Christopher Mudry · 2007 · Physical Review B
  80. Measurement of Chern numbers through center-of-mass responses
    Price, H. M., Zilberberg, O., Ozawa, T., Carusotto, I., Goldman, N. · 2016 · Physical Review B
  81. Fractional Quantum-Hall Liquid Spontaneously Generated by Strongly Correlated t2g Electrons
    Jörn W. F. Venderbos, Stefanos Kourtis, Jeroen van den Brink, Maria Daghofer · 2012 · Physical Review Letters
  82. Topological aspects of nonlinear excitonic processes in noncentrosymmetric crystals
    Takahiro Morimoto, Naoto Nagaosa · 2016 · Physical review. B./Physical review. B
  83. Surface and 3D Quantum Hall Effects from Engineering of Exceptional Points in Nodal-Line Semimetals
    Rafael A. Molina, J. González · 2018 · Physical Review Letters
  84. Topology of One-Dimensional Quantum Systems Out of Equilibrium
    Max McGinley, Nigel R. Cooper · 2018 · Physical Review Letters
  85. Experimental Observation of Momentum-Space Chiral Edge Currents in Room-Temperature Atoms
    Han Cai, Jinhong Liu, Jinze Wu, Yanyan He, Shi‐Yao Zhu, Junxiang Zhang, Da‐Wei Wang · 2019 · Physical Review Letters
  86. Hofstadter Topology: Noncrystalline Topological Materials at High Flux
    Jonah Herzog-Arbeitman, Zhi-Da Song, Nicolas Regnault, Bogdan Andrei Bernevig · 2020 · Physical Review Letters
  87. Voltage-Controlled Magnetic Reversal in Orbital Chern Insulators
    Jihang Zhu, Jung-Jung Su, Allan H. MacDonald · 2020 · Physical Review Letters
  88. An exact renormalisation group for Bloch electrons in a magnetic field
    Michael Wilkinson · 1987 · Journal of Physics A Mathematical and General
  89. Quantum Anomalous Hall Effect in Magnetically Doped InAs/GaSb Quantum Wells
    Qing-Ze Wang, Xin Liu, Haijun Zhang, Nitin Samarth, Shoucheng Zhang, Chao‐Xing Liu · 2014 · Physical Review Letters
  90. The impossibility of exactly flat non-trivial Chern bands in strictly local periodic tight binding models
    Li Chen, Tahereh Mazaheri, Alexander Seidel, Xiang Tang · 2014 · Journal of Physics A Mathematical and Theoretical
  91. Observation of Topological Edge States in Thermal Diffusion
    Hao Hu, Song Hee Han, Yihao Yang, Dongjue Liu, Haoran Xue, Gui‐Geng Liu, Zheyu Cheng, Qi Jie Wang, Shuang Zhang, Baile Zhang et al. · 2022 · Advanced Materials
  92. Realizing spontaneous valley polarization and topological phase transitions in monolayer ScX2 (X = Cl, Br, I)
    Yanzhao Wu, Junwei Tong, Deng Li, Feifei Luo, Fubo Tian, Gaowu W. Qin, Xianmin Zhang · 2023 · Acta Materialia
  93. Hyperbolic band topology with non-trivial second Chern numbers
    Weixuan Zhang, Fengxiao Di, Xingen Zheng, Houjun Sun, Xiangdong Zhang · 2023 · Nature Communications
  94. Quantum geometry in quantum materials
    Jiabin Yu, Bogdan Andrei Bernevig, Raquel Queiroz, Enrico Rossi, Päivi Törmä, Bohm‐Jung Yang · 2025 · npj Quantum Materials
  95. Ferromagnetism in the Hubbard model with topological/non-topological flat bands
    Hosho Katsura, Isao Maruyama, Akinori Tanaka, Hal Tasaki · 2010 · Europhysics Letters (EPL)
  96. Unconventional topological Hall effect in skyrmion crystals caused by the topology of the lattice
    Börge Göbel, Alexander Mook, Jürgen Henk, Ingrid Mertig · 2017 · Physical review. B./Physical review. B
  97. Topological insulator nanostructures
    Judy J. Cha, Kristie J. Koski, Yi Cui · 2012 · physica status solidi (RRL) - Rapid Research Letters
  98. Topological phononic states of underwater sound based on coupled ring resonators
    Cheng He, Zheng Li, Xu Ni, Xiaochen Sun, Si‐Yuan Yu, Ming‐Hui Lu, Xiao-Ping Liu, Yan‐Feng Chen · 2016 · Applied Physics Letters
  99. Prediction of high-temperature quantum anomalous Hall effect in two-dimensional transition-metal oxides
    H. P. Wang, Wei Luo, Hongjun Xiang · 2017 · Physical review. B./Physical review. B
  100. Floquet topological phase transition in the α − T 3 lattice
    Bashab Dey, Tarun Kanti Ghosh · 2019 · Physical review. B./Physical review. B