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 201–300 of 1,001

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  2. Electrical imaging of the quantum Hall state
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  5. Theory of the quantized Hall effect (I)
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  8. Quantised Hall conductance in a perfect crystal
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  18. Chiral Surface States in the Bulk Quantum Hall Effect
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  21. Magnetic field induced multi-component QED3 and quantum Hall effect
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  22. Theory of anomalous quantum Hall effects in graphene
    P. M. Ostrovsky, I. V. Gornyi, A. D. Mirlin · 2008 · Physical Review B
  23. Localization bounds for an electron gas
    M Aizenman, Gian Michele Graf · 1998 · Journal of Physics A Mathematical and General
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    Kent L. McCormick, Michael T. Woodside, Mike Huang, Mingshaw W. Wu, Paul L. McEuen, C. I. Duruöz, J. S. Harris · 1999 · Physical review. B, Condensed matter
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  26. Equilibration length of electrons in spin-polarized edge channels
    G. Müller, D. Weiß, Alexander V. Khaetskii, Klaus von Klitzing, S. W. Koch, Heinrich. Nickel, W. Schlapp, RAINER LOSCH · 1992 · Physical review. B, Condensed matter
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    Tudor D. Stanescu, Victor M. Galitski, S. Das Sarma · 2010 · Physical Review A
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    Susumu Komiyama, Hiroshi Hirai, M. Ohsawa, Y. Matsuda, S. Sasa, Toshio Fujii · 1992 · Physical review. B, Condensed matter
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  33. Breakdown of the quantum Hall effect
    Georg Nachtwei · 1999 · Physica E Low-dimensional Systems and Nanostructures
  34. Transport in disordered two-dimensional topological insulators
    Gennadii M. Gusev, Zee Don Kvon, O. A. Shegaǐ, Nikolay N. Mikhailov, Sergey Alekseevich Dvoretsky, J.C. Portal · 2011 · Physical Review B
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    Inbar Hotzen Grinberg, Mao Lin, Cameron Harris, Wladimir A. Benalcazar, Christopher W. Peterson, Taylor L. Hughes, Gaurav Bahl · 2020 · Nature Communications
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    Yaroslav Tserkovnyak, Daniel Loss · 2012 · Physical Review Letters
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    T. Kinoshita · 1996 · Reports on Progress in Physics
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    Michael Aizenman, Jeffrey Schenker, Roland M. Friedrich, Dirk Hundertmark · 2000
  39. Introduction to the theory of the integer quantum Hall effect
    Benoît Douçot · 2011 · Comptes Rendus Physique
  40. Suppression of Shubnikov–de Haas resistance oscillations due to selective population or detection of Landau levels: Absence of inter-Landau-level scattering on macroscopic length scales
    Bart Jan van Wees, E. M. M. Willems, Leo P. Kouwenhoven, C. J. P. M. Harmans, J. G. Williamson, C. T. B. Foxon, J. J. Harris · 1989 · Physical review. B, Condensed matter
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  42. Surface States of Topological Insulators: The Dirac Fermion in Curved Two-Dimensional Spaces
    D. H. Lee · 2009 · Physical Review Letters
  43. Localization Bounds for an Electron Gas
    M. Aizenman, Gian Michele Graf · 1998
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    Gordei B Lesovik, Ivan Sadovskyy · 2011 · Physics-Uspekhi
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    Hermann Schulz‐Baldes, Johannes Kellendonk, Thomas Richter · 1999 · Journal of Physics A Mathematical and General
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    Carles Altimiras, H. le Sueur, U. Gennser, A. Cavanna, D. Mailly, F. Pierre · 2010 · Physical Review Letters
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    P. G. Silvestrov, K. B. Efetov · 2008 · Physical Review B
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    M. Johnson, Allan H. MacDonald · 1991 · Physical Review Letters
  55. Model Characterization of Gapless Edge Modes of Topological Insulators Using Intermediate Brillouin-Zone Functions
    Fidkowski, Lukasz, Jackson, T. S., Klich, Israel · 2011 · Physical Review Letters
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    Xiong-Jun Liu, Xin Liu, Congjun Wu, Jairo Sinova · 2010 · Physical Review A
  57. Magnetic Edge States in a Magnetic Quantum Dot
    H.-S. Sim, Kang-Hun Ahn, K. J. Chang, G. Ihm, N. Kim, Sang Jeong Lee · 1998 · Physical Review Letters
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    Lukas Janssen, Matthias Vojta · 2019 · Journal of Physics Condensed Matter
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    Tsuneya Yoshida, Yasuhiro Hatsugai · 2019 · Physical review. B./Physical review. B
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    E. Ahlswede, P. Weitz, J. Weis, Klaus von Klitzing, K. Eberl · 2001 · Physica B Condensed Matter
  61. de Haas-van Alphen and Aharonov-Bohm-type Persistent Current Oscillations in Singly Connected Quantum Dots
    Uri Sivan, Y. Imry · 1988 · Physical Review Letters
  62. High-Temperature Quantum Anomalous Hall Effect in n − p Codoped Topological Insulators
    Shifei Qi, Zhenhua Qiao, Xinzhou Deng, Ekin D. Cubuk, Hua Chen, Wenguang Zhu, Efthimios Kaxiras, Shengbai Zhang, Xiaohong Xu, Zhenyu Zhang · 2016 · Physical Review Letters
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    Karyn Le Hur, Loïc Henriet, Alexandru Petrescu, Kirill Plekhanov, Guillaume Roux, Marco Schirò · 2016 · Comptes Rendus Physique
  64. Conditions for the quantum Hall effect
    Robert Joynt, R. E. Prange · 1984 · Physical review. B, Condensed matter
  65. Quantum ring in a rotating frame in the presence of a topological defect
    L. Dantas, Claudio Furtado, A.L. Silva Netto · 2014 · Physics Letters A
  66. Subsurface charge accumulation imaging of a quantum Hall liquid
    Stuart Tessmer, P. I. Glicofridis, R. C. Ashoori, Leonid S Levitov, M. R. Melloch · 1998 · RePEc: Research Papers in Economics
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    Nikolaos Kainaris, I. V. Gornyi, Sam T. Carr, A. D. Mirlin · 2014 · Physical Review B
  68. Quantum Hall Resistance in the Quasi-One-Dimensional Electron Gas
    François Maria Peeters · 1988 · Physical Review Letters
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    Ghislain Granger, J. P. Eisenstein, John L. Reno · 2009 · Physical Review Letters
  70. Fractional Quantum Hall Effects
    Bertrand I. Halperin, Jainendra K. Jain · 2020 · WORLD SCIENTIFIC eBooks
  71. Landau quantization and the Aharonov-Bohm effect in a two-dimensional ring
    W.-C. Tan, John C. Inkson · 1996 · Physical review. B, Condensed matter
  72. Quantum simulation of strongly correlated condensed matter systems
    Walter Hofstetter, Tao Qin · 2017 · Journal of Physics B Atomic Molecular and Optical Physics
  73. Argument for a direct realization of the quantum metrological triangle
    François Piquemal, G Genev s · 2000 · Metrologia
  74. High-magnetic-field transport in a dilute two-dimensional electron gas
    Emilio E. Mendez, Mordehai Heiblum, L.L. Chang, L. Esaki · 1983 · Physical review. B, Condensed matter
  75. Quantized Hall conductance in a two dimensional periodic potential
    Marcel den Nijs · 1984 · Physica A Statistical Mechanics and its Applications
  76. Bulk-Boundary Correspondence for Non-Hermitian Hamiltonians via Green Functions
    Heinrich-Gregor Zirnstein, Gil Refael, Bernd Rosenow · 2021 · Physical Review Letters
  77. Observation of Unidirectional Solitonlike Edge States in Nonlinear Floquet Topological Insulators
    Sebabrata Mukherjee, Mikael C. Rechtsman · 2021 · Physical Review X
  78. ‘‘Hall crystal’’ versus Wigner crystal
    Zlatko Tešanović, Françoise Axel, Bertrand I. Halperin · 1989 · Physical review. B, Condensed matter
  79. Theory of the magnetic-field-induced insulator in neutral graphene sheets
    Jeil Jung, Allan H. MacDonald · 2009 · Physical Review B
  80. ELECTRON QUANTUM OPTICS IN QUANTUM HALL EDGE CHANNELS
    Charles Grenier, RÉMY HERVÉ, Gwendal Fève, Pascal Degiovanni · 2011 · Modern Physics Letters B
  81. Fractional charge and fractional statistics in the quantum Hall effects
    D E Feldman, Bertrand I Halperin · 2021 · Reports on Progress in Physics
  82. Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
    Zhi‐Qiang Jiao, Stefano Longhi, Xiao‐Wei Wang, Jun Gao, Wenhao Zhou, Yao Wang, Yu-Xuan Fu, Li Wang, Ruo-Jing Ren, Lu‐Feng Qiao et al. · 2021 · Physical Review Letters
  83. Andreev Reflection in Strong Magnetic Fields
    H. Hoppe, Ulrich Zülicke, Gerd Schön · 2000 · Physical Review Letters
  84. Time-resolved measurements of transport in edge channels
    Nikolai B. Zhitenev, R. J. Haug, Klaus von Klitzing, K. Eberl · 1993 · Physical Review Letters
  85. Quantum Hall effects in graphene-based two-dimensional electron systems
    Yafis Barlas, Kun Yang, Allan H. MacDonald · 2012 · Nanotechnology
  86. Selective population and detection of edge channels in the fractional quantum Hall regime
    Leo P. Kouwenhoven, Bart Jan van Wees, N. C. van der Vaart, C. J. P. M. Harmans, C.E. Timmering, C. T. B. Foxon · 1990 · Physical Review Letters
  87. Conformal symmetry and universal properties of quantum Hall states
    Andrea Cappelli A, Gerald V. Dunne, Carlo A. Trugenberger, Guillermo R. Zemba · 1993 · Nuclear Physics B
  88. Effect of Disorder in a Three-Dimensional Layered Chern Insulator
    Shang Liu, Tomi Ohtsuki, Ryuichi Shindou · 2016 · Physical Review Letters
  89. Anomalous Edge Transport in the Quantum Anomalous Hall State
    Jing Wang, Biao Lian, Haijun Zhang, Shoucheng Zhang · 2013 · Physical Review Letters
  90. Emergence of a Chern-insulating state from a semi-Dirac dispersion
    Huaqing Huang, Zhirong Liu, Hongbin Zhang, Wenhui Duan, David H. Vanderbilt · 2015 · Physical Review B
  91. Edge reconstruction in the fractional quantum Hall regime
    Xin Wan, Edward H. Rezayi, Kun Yang · 2003 · Physical review. B, Condensed matter
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    Yohei Ikebe, Takahiro Morimoto, Ryuichi Masutomi, Tohru Okamoto, Hideo Aoki, Ryo Shimano · 2010 · Physical Review Letters
  93. Equality of the Bulk and Edge Hall Conductances in a Mobility Gap
    Alexander Elgart, Gian Michele Graf, Jeffrey Schenker · 2005 · Communications in Mathematical Physics
  94. Aharonov-Bohm and quantum Hall effects in singly connected quantum dots
    Uri Sivan, Y. Imry, Claudio Hartzstein · 1989 · Physical review. B, Condensed matter
  95. Ideally Conducting Phases in Quasi Two-Dimensional Conductors
    Israel D. Vagner, T. Maniv, E. Ehrenfreund · 1983 · Physical Review Letters
  96. Two coupled chains with Tomonaga-Luttinger interactions
    Alexander M. Finkel’stein, A. I. Larkin · 1993 · Physical review. B, Condensed matter
  97. Magnetic field and electron states in two-dimensional disordered systems
    L. Schweitzer, B. Krämer, A. MacKinnon · 1984 · Journal of Physics C Solid State Physics
  98. Topological Invariants of Edge States for Periodic Two-Dimensional Models
    Julio Cesar Avila, Hermann Schulz‐Baldes, Carlos Villegas-Blas · 2012 · Mathematical Physics Analysis and Geometry
  99. Measuring Topological Invariants in Photonic Systems
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  100. Critical point explosions in two-dimensional wave fields
    Isaac Freund · 1999 · Optics Communications