Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential

Halperin, B. I.·1982·Physical Review B

Cited by (1,001)

Items 401–500 of 1,001

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  2. Landau Hamiltonians with random potentials: Localization and the density of states
    J. M. Combes, Peter D. Hislop · 1996 · Communications in Mathematical Physics
  3. Quantized magnetoresistance in two-dimensional electron systems
    Frank F. Fang, P. J. Stiles · 1983 · Physical review. B, Condensed matter
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  6. Persistent currents and edge states in a magnetic field
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  10. Quantized Hall conductance and edge states: Two-dimensional strips with a periodic potential
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  12. Current distributions in the quantum Hall effect
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  16. Topologically protected excitons in porphyrin thin films
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  17. An optical-lattice-based quantum simulator for relativistic field theories and topological insulators
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  19. The Quantized Hall Effect
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  20. Determination of the von Klitzing constant and the fine-structure constant through a comparison of the quantized Hall resistance and the ohm derived from the NIST calculable capacitor
    A Jeffery, Rand Elmquist, John Q. Shields, L.H. Lee, Marvin E. Cage, S.H. Shields, R F Dziuba · 1998 · Metrologia
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  22. Contacts and edge-state equilibration in the fractional quantum Hall effect
    C. L. Kane, Matthew P. A. Fisher · 1995 · Physical review. B, Condensed matter
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  24. Incoherent transport on the ν=2/3 quantum Hall edge
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  29. Chiral operator product algebra and edge excitations of a fractional quantum Hall droplet
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  30. Recent experimental progress of fractional quantum Hall effect: 5/2 filling state and graphene
    Xi Lin, Rui-Rui Du, X. C. Xie · 2014 · National Science Review
  31. Bulk-Boundary Correspondence for Three-Dimensional Symmetry-Protected Topological Phases
    Chenjie Wang, Chien-Hung Lin, Michael Levin · 2016 · Physical Review X
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    Liang Kong, Hao Zheng · 2020 · Journal of High Energy Physics
  33. Universality in Quantum Hall Systems: Coset Construction of Incompressible States
    Jürg Martin Fröhlich, Bill Pedrini, Christoph Schweigert B, Johannes Walcher · 2001 · Journal of Statistical Physics
  34. Scaling of conductivities in the fractional quantum Hall effect
    R. B. Laughlin, Marvin L. Cohen, John Michael Kosterlitz, Herbert Levine, Stephen B. Libby, Adrianus M. M. Pruisken · 1985 · Physical review. B, Condensed matter
  35. Deviation of the quantum hall effect from exact quantization in narrow GaAs-AlxGa1−xAs heterostructure devices
    A. M. Chang, Gregory L. Timp, T. Y. Chang, J. E. Cunningham, Paul M. Mankiewich, Robert E. Behringer, Richard E. Howard · 1988 · Solid State Communications
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    Luiz H. Santos, Titus Neupert, Shinsei Ryu, Claudio Chamon, Christopher Mudry · 2011 · Physical Review B
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  41. Microscopic theory of photonic one-way edge mode
    Kejie Fang, Zongfu Yu, Shanhui Fan · 2011 · Physical Review B
  42. Finite-temperature aspects of the quantum Hall effect: A Boltzmann-equation approach
    Pagiotis Vasilopoulos · 1985 · Physical review. B, Condensed matter
  43. Physical origin of topological mass in 2 + 1 dimensions
    D. Boyanovsky, R. Blankenbecler, Ram Yahalom · 1986 · Nuclear Physics B
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    Bohm‐Jung Yang, M. S. Bahramy, Naoto Nagaosa · 2013 · Nature Communications
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    Jingwei Jiang, Steven G. Louie · 2020 · Nano Letters
  46. Coherent magnetotransport in confined arrays of antidots. I. Dispersion relations and current densities
    Igor V. Zozoulenko, Frank A. Maaø, E. H. Hauge · 1996 · Physical review. B, Condensed matter
  47. New nonlocal magnetoresistance effect at the crossover between the classical and quantum transport regimes
    Andre K. Geim, P. C. Main, Peter H. Beton, Pavel Steda, L. Eaves, Christopher D. W. Wilkinson, S. P. Beaumont · 1991 · Physical Review Letters
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    A. O. Slobodeniuk, Ivan P. Levkivskyi, Eugene V. Sukhorukov · 2013 · Physical Review B
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    Thomas M. Stace, C. H. W. Barnes, Gerard J Milburn · 2004 · Physical Review Letters
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    M. P. Schwarz, Marc A. Wilde, S. Groth, Dirk Grundler, Ch. Heyn, D. Heitmann · 2002 · Physical review. B, Condensed matter
  56. Thermodynamic derivation of the Hall current and the thermopower in quantising magnetic field
    P. Středa, L. Smrčka · 1983 · Journal of Physics C Solid State Physics
  57. Edge states in graphene-like systems
    José Luis Lado, N. A. García-Martínez, Joaquín Fernández-Rossier · 2015 · Synthetic Metals
  58. Resonant spin Hall conductance in quantum Hall systems lacking bulk and structural inversion symmetry
    Shun-Qing Shen, Yun-Juan Bao, Michael Ma, Xin Xie, Fu‐Chun Zhang · 2005 · Physical Review B
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    Weeks, C., Rosenberg, G., Seradjeh, B., Franz, M. · 2007 · Nature Physics
  60. Localization in a magnetic field: Tight binding model with one-half of a flux quantum per plaquette
    Matthew P. A. Fisher, Eduardo Fradkin · 1985 · Nuclear Physics B
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    Yat Tin Chow, Youjun Deng, Youzi He, Hongyu Liu, Xianchao Wang · 2021 · SIAM Journal on Imaging Sciences
  62. Connection of Edge States to Bulk Topological Invariance in a Quantum Spin Hall State
    Huichao Li, Li Sheng, D. Y. Xing · 2012 · Physical Review Letters
  63. Network models of quantum percolation and their field-theory representations
    D. H. Lee · 1994 · Physical review. B, Condensed matter
  64. Trends in Quantum Nanophotonics
    Lujun Huang, Lei Xu, Matt Woolley, Andrey E. Miroshnichenko · 2020 · Advanced Quantum Technologies
  65. Non-Hermitian Mott Skin Effect
    Tsuneya Yoshida, Song-Bo Zhang, Titus Neupert, Norio Kawakami · 2024 · Physical Review Letters
  66. Interaction-induced edge channel equilibration
    Anders Mathias Lunde, Simon E. Nigg, Μ. Büttiker · 2010 · Physical Review B
  67. Glauber coherence of single-electron sources
    Géraldine Haack, Michael V. Moskalets, Μ. Büttiker · 2013 · Physical Review B
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  69. Coupling of Edge States and Topological Bragg Solitons
    Weifeng Zhang, Xianfeng Chen, Yaroslav V. Kartashov, V. V. Konotop, Fangwei Ye · 2019 · Physical Review Letters
  70. Supersymmetric quantum mechanics in a first-order Dirac equation
    Richard Hughes, V. Alan Kostelecký, Michael Martin Nieto · 1986 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  71. Field theory in a strong magnetic field and the quantum Hall effect: Integer Hall effect
    Naoki Imai, K. Ishikawa, Toyoki Matsuyama, Ikuo Tanaka · 1990 · Physical review. B, Condensed matter
  72. Delocalization of Electrons in a Random Magnetic Field
    D. N. Sheng, Zheng-Yu Weng · 1995 · Physical Review Letters
  73. Chiral Anomaly and the Rational Quantization of the Hall Conductance
    Marvin H. Friedman, Jeffrey B. Sokoloff, A. Widom, Y. Srivastava · 1984 · Physical Review Letters
  74. Prediction of Aharonov-Bohm Oscillations on the Quantum Hall Plateaus of Small and Narrow Rings
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  75. Unconventional Correlation between Quantum Hall Transport Quantization and Bulk State Filling in Gated Graphene Devices
    Yong‐Tao Cui, Bo Wen, Yue Ma, Georgi Diankov, Zheng Han, François Amet, Takashi Taniguchi, Kenji Watanabe, David Goldhaber‐Gordon, Cory R. Dean et al. · 2016 · Physical Review Letters
  76. Magnetic-field and spin-orbit interaction in restricted geometries: Solvable models
    Yigal Meir, Ora Entin-wohlman A, Yuval Gefen · 1990 · Physical review. B, Condensed matter
  77. Quantum hall fluids
    A. Zee · 2007 · Springer eBooks
  78. Electron quantum optics in quantum Hall edge channels
    Erwann Bocquillon · 2012 · HAL
  79. Constructing symmetric topological phases of bosons in three dimensions via fermionic projective construction and dyon condensation
    Peng Ye, Xiao-Gang Wen · 2014 · Physical Review B
  80. Bulk-edge correspondence in topological pumping
    Yasuhiro Hatsugai, Takahiro Fukui · 2016 · Physical review. B./Physical review. B
  81. Collective excitations at the boundary of a four-dimensional quantum Hall droplet
    Jiangping Hu, Shoucheng Zhang · 2002 · Physical review. B, Condensed matter
  82. Hall effect in quantum wires
    Hiroshi Akera, Tsuneya Ando · 1989 · Physical review. B, Condensed matter
  83. Classification of disordered phases of quantum Hall edge states
    Joel E. Moore, Xiao-Gang Wen · 1998 · Physical review. B, Condensed matter
  84. Theory of unconventional quantum Hall effect in strained graphene
    Bitan Roy, Zi-Xiang Hu, Kun Yang · 2013 · Physical Review B
  85. Single electron in a random potential and a strong magnetic field
    Hans A. Weidenmüller · 1987 · Nuclear Physics B
  86. How universal is the fractional-quantum-Hall edge Luttinger liquid?
    Sudhansu S. Mandal, J.K. Jain · 2001 · Solid State Communications
  87. The quantum hall effect for electrons in a random potential
    H. Kunz · 1987 · Communications in Mathematical Physics
  88. Symmetry-protected topological phases with charge and spin symmetries: Response theory and dynamical gauge theory in two and three dimensions
    Peng Ye, Juven Wang · 2013 · Physical Review B
  89. Chiral spin liquid in a correlated topological insulator
    Jing He, Su-Peng Kou, Ying Liang, Shiping Feng · 2011 · Physical Review B
  90. Topological guiding of elastic waves in phononic metamaterials based on 2D pentamode structures
    Yuning Guo, T. Dekorsy, Mike Hettich · 2017 · Scientific Reports
  91. Dynamic generation of orbital quasiparticle entanglement in mesoscopic conductors
    Peter Samuelsson, Μ. Büttiker · 2005 · Physical Review B
  92. Large N limit in the quantum Hall effect
    Andrea Cappelli A, Carlo A. Trugenberger, Guillermo R. Zemba · 1993 · Physics Letters B
  93. The Landau level density of states as a function of Fermi energy in the two dimensional electron gas
    R. C. Ashoori, Robert H. Silsbee · 1992 · Solid State Communications
  94. Interacting-electron states and the persistent current in a quantum ring
    Pekka Pietiläinen, Tapash Chakraborty · 1993 · Solid State Communications
  95. Heat-capacity study of two-dimensional electrons in GaAs/ Alx Ga1−x As multiple-quantum-well structures in high magnetic fields: Spin-split Landau levels
    J. K. Wang, Daniel C. Tsui, Michael B. Santos, MANSOUR SHAYEGAN · 1992 · Physical review. B, Condensed matter
  96. Measurement and control of electron wave packets from a single-electron source
    Joanna Waldie, Patrick See, Vyacheslavs Kashcheyevs, Jonathan Griffiths, Ian A. Farrer, G. A. C. Jones, D. A. Ritchie, T. J. B. M. Janssen, M. Kataoka · 2015 · Physical Review B
  97. Aharonov-Bohm effect in the chiral Luttinger liquid
    Michael R. Geller, Daniel Loss · 1997 · Physical review. B, Condensed matter
  98. Resonant tunneling in the fractional quantum Hall regime
    Claudio Chamon, Xiao-Gang Wen · 1993 · Physical Review Letters
  99. A classification of quantum Hall fluids
    Jürg Martin Fröhlich, Urban M. Studer, E. Thiran · 1997 · Journal of Statistical Physics
  100. Edge electrostatics of a mesa-etched sample and edge-state-to-bulk scattering rate in the fractional quantum Hall regime
    B. Y. Gelfand, Bertrand I. Halperin · 1994 · Physical review. B, Condensed matter