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

Cited by (1,001)

Items 501–600 of 1,001

1. Edge states in a strong magnetic field
   Igor Bartoš, B. Rosenstein · 1994 · Journal of Physics A Mathematical and General
2. Experimental evidence for finite-width edge channels in integer and fractional quantum Hall effects
   S. W. Hwang, Daniel C. Tsui, MANSOUR SHAYEGAN · 1993 · Physical review. B, Condensed matter
3. Edge states and quantized Hall conductivity in a periodic potential
   Allan H. MacDonald · 1984 · Physical review. B, Condensed matter
4. Resonant magneto-transport through a lateral quantum box in a semiconductor heterostructure
   Ronald J. Brown, Charles G. Smith, M. Pepper, Michael Joseph Kelly, R. Newbury, H. Ahmed, D. G. Hasko, J. E. F. Frost, D. C. Peacock, D. A. Ritchie et al. · 1989 · Journal of Physics Condensed Matter
5. Quantum resistance metrology using graphene
   T. J. B. M. Janssen, A. Tzalenchuk, S. Lara-avila, S. Kubatkin, Vladimir I. Fal’ko · 2013
6. Electronic properties of two-dimensional carbon
   Peres, N.M.R., Guinea, F., Castro Neto, A.H. · 2006 · Annals of Physics
7. Edge modes as reference frames and boundary actions from post-selection
   Sylvain Carrozza, Philipp A. Höhn · 2022 · Journal of High Energy Physics
8. Half-quantized Hall effect and power law decay of edge-current distribution
   Jinyu Zou, Bo Fu, Huan-Wen Wang, Zi-Ang Hu, Shun-Qing Shen · 2022 · Physical review. B./Physical review. B
9. Fractional topological insulators: From sliding Luttinger liquids to Chern-Simons theory
   Raul A. Santos, Chia-Wei Huang, Yuval Gefen, Dmitri B. Gutman · 2015 · Physical Review B
10. Edge Theories in Projected Entangled Pair State Models
    Sibin Yang, Lauri Lehman, Didier Poilblanc, Karel Van Acoleyen, Frank Verstraete, J. I. Cirac, Norbert Schuch · 2014 · Physical Review Letters
11. Universal charge and current on magnetic domain walls in Weyl semimetals
    Yasufumi Araki, Akihide Yoshida, Kentaro Nomura · 2016 · Physical review. B./Physical review. B
12. Gapless edges of 2d topological orders and enriched monoidal categories
    Liang Kong, Hao Zheng · 2017 · Nuclear Physics B
13. The bulk-corner correspondence of time-reversal symmetric insulators
    Sander H. Kooi, Guido C. P. van Miert, Carmine Ortix · 2021 · npj Quantum Materials
14. Transitions between Hall plateaus in the presence of strong Landau level mixing
    Ziqiang Wang, D. H. Lee, Xiao-Gang Wen · 1994 · Physical Review Letters
15. Excitation band topology and edge matter waves in Bose–Einstein condensates in optical lattices
    Shunsuke Furukawa, Masahito Ueda · 2015 · New Journal of Physics
16. Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
    Elio J. König, P. M. Ostrovsky, Ivan V. Protopopov, I. V. Gornyi, I. S. Burmistrov, A. D. Mirlin · 2014 · Physical Review B
17. Topological edge states and quantum Hall effect in the Haldane model
    Ningning Hao, Ping Zhang, Zhigang Wang, Wei Zhang, Yupeng Wang · 2008 · Physical Review B
18. Andreev reflection and cyclotron motion at superconductor—normal-metal interfaces
    Francesco Giazotto, Michele Governale, Ulrich Zülicke, Fabio Beltram · 2005 · Physical Review B
19. Andreev reflection in the fractional quantum Hall effect
    Nancy Sandler, Claudio Chamon, Eduardo Fradkin · 1998 · Physical review. B, Condensed matter
20. Josephson Effect in the Quantum Hall Regime
    Michael Ma, A. Yu. Zyuzin · 1993 · Europhysics Letters (EPL)
21. Edge states and integer quantum Hall effect in topological insulator thin films
    Song-Bo Zhang, Hai‐Zhou Lu, Shun-Qing Shen · 2015 · Scientific Reports
22. Many-Body Generalization of the Z2 Topological Invariant for the Quantum Spin Hall Effect
    Sung-Sik Lee, Shinsei Ryu · 2008 · Physical Review Letters
23. Controlling charge quantization with quantum fluctuations
    S. Jézouin, Zubair Iftikhar, A. Anthore, François D. Parmentier, U. Gennser, A. Cavanna, Abdelkarim Ouerghi, Ivan P. Levkivskyi, Edvin G. Idrisov, Eugene V. Sukhorukov et al. · 2016 · Nature
24. Laughlin’s Topological Charge Pump in an Atomic Hall Cylinder
    Aurélien Fabre, Jean-Baptiste Bouhiron, Tanish Satoor, Raphael Lopes, Sylvain Nascimbène · 2022 · Physical Review Letters
25. Numerical Tests of the Chiral Luttinger Liquid Theory for Fractional Hall Edges
    Juan Jose Palacios, Allan H. MacDonald · 1996 · Physical Review Letters
26. Acoustoelectric study of localized states in the quantized Hall effect
    A. Esslinger, A. Wixforth, R. Winkler, J. P. Kotthaus, Heinrich. Nickel, W. Schlapp, RAINER LOSCH · 1992 · Solid State Communications
27. Edge physics in two-dimensional topological insulators
    Giacomo Dolcetto, Maura Sassetti, Thomas L. Schmidt · 2015 · arXiv (Cornell University)
28. On the topological immunity of corner states in two-dimensional crystalline insulators
    Guido C. P. van Miert, Carmine Ortix · 2020 · npj Quantum Materials
29. Quantum anomalous Hall and valley quantum anomalous Hall effects in two-dimensional d0 orbital XY monolayers
    Kang Wang, Yihui Li, Haoliang Mei, Ping Li, Zhi‐Xin Guo · 2022 · Physical Review Materials
30. Simulation of Interaction-Induced Chiral Topological Dynamics on a Digital Quantum Computer
    Jin Ming Koh, Tommy Tai, Ching Hua Lee · 2022 · Physical Review Letters
31. Anyonic interference and braiding phase in a Mach-Zehnder interferometer
    Hemanta Kumar Kundu, Sourav Biswas, Nissim Ofek, V. Umansky, Moty Heiblum · 2023 · Nature Physics
32. Topological Majorana and Dirac Zero Modes in Superconducting Vortex Cores
    Rahul Roy · 2010 · Physical Review Letters
33. Tunable Nonlinear Topological Insulator for Acoustic Waves
    Amir Darabi, Michael J. Leamy · 2019 · Physical Review Applied
34. Topology in Shallow-Water Waves: A Violation of Bulk-Edge Correspondence
    Gian Michele Graf, Hansueli Jud, Clément Tauber · 2021 · Communications in Mathematical Physics
35. Quantized Hall effect in a hexagonal periodic potential
    Allan H. MacDonald · 1984 · Physical review. B, Condensed matter
36. Electron Correlations in Two Dimensions
    A. Isihara · 1989 · Solid state physics
37. Topological Edge States and Fractional Quantum Hall Effect from Umklapp Scattering
    Jelena Klinovaja, Daniel Loss · 2013 · Physical Review Letters
38. Proposal for Detecting Nodal-Line Semimetal Surface States with Resonant Spin-Flipped Reflection
    Wei Chen, Kun Luo, Lin Li, Oded Zilberberg · 2018 · Physical Review Letters
39. Gross–Neveu–Wilson model and correlated symmetry-protected topological phases
    A. Bermúdez, Emanuele Tirrito, Matteo Rizzi, Maciej Lewenstein, Simon Hands · 2018 · Annals of Physics
40. Solution to the 1+1 dimensional gauged chiral Fermion problem
    Juven Wang, Xiao-Gang Wen · 2019 · Physical review. D/Physical review. D.
41. Reconfigurable topological insulator for elastic waves
    Amir Darabi, Michael J. Leamy · 2019 · The Journal of the Acoustical Society of America
42. Bulk-edge correspondence of classical diffusion phenomena
    Tsuneya Yoshida, Yasuhiro Hatsugai · 2021 · Scientific Reports
43. Topological Band Theory and the ℤ2 Invariant
    C. L. Kane · 2013 · Contemporary concepts of condensed matter science
44. Integral quadratic forms, Kac-Moody algebras, and fractional quantum Hall effect. AnADE-O classification
    Jürg Martin Fröhlich, E. Thiran · 1994 · Journal of Statistical Physics
45. The conductivity of a two-dimensional electronic system of finite width in the presence of a strong perpendicular magnetic field and a random potential
    L. Schweitzer, B. Krämer, A. MacKinnon · 1985 · The European Physical Journal B
46. Zoology of non-Hermitian spectra and their graph topology
    Tommy Tai, Ching Hua Lee · 2023 · Physical review. B./Physical review. B
47. Anderson localization and the topology of classifying spaces
    Takahiro Morimoto, Akira Furusaki, Christopher Mudry · 2015 · Physical Review B
48. Entropy and Exact Matrix-Product Representation of the Laughlin Wave Function
    S. Iblisdir, José Ignacio Latorre, Román Orús · 2007 · Physical Review Letters
49. Geometric quench and nonequilibrium dynamics of fractional quantum Hall states
    Zhao Liu, Andrey Gromov, Zlatko Papić · 2018 · Physical review. B./Physical review. B
50. Chapter 2: Quantum Point Contacts
    Henk van Houten, C. W. J. Beenakker, Bart Jan van Wees · 1992 · Semiconductors and semimetals
51. Cooper-pair tunneling into a quantum Hall fluid
    Matthew P. A. Fisher · 1994 · Physical review. B, Condensed matter
52. Positive Cross Correlations in a Normal-Conducting Fermionic Beam Splitter
    S. Oberholzer, E. Bieri, Christian Schönenberger, Marcella Giovannini, Jérôme Faist · 2006 · Physical Review Letters
53. Methods to measure the charge of the quasiparticles in the fractional quantum Hall effect
    Steven Allan Kivelson, V. L. Pokrovsky · 1989 · Physical review. B, Condensed matter
54. Transport evidence for phase separation into spatial regions of different fractional quantum Hall fluids near the boundary of a two-dimensional electron gas
    A. M. Chang, J. E. Cunningham · 1992 · Physical Review Letters
55. Axial anomaly in three dimensions and planar fermions
    K. Ishikawa · 1985 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
56. Current contacts and the breakdown of the quantum Hall effect
    P. C. van Son, G. H. Kruithof, T. M. Klapwijk · 1990 · Physical review. B, Condensed matter
57. Leaky Quantum Graphs: A Review
    Pavel Exner · 2007 · arXiv (Cornell University)
58. Integer quantum Hall effect and related phenomena
    Valerii T. Dolgopolov · 2014 · Physics-Uspekhi
59. Fermions in Gödel-type background space-times with torsion and the Landau quantization
    Gabriel Queiroz Garcia, J. R. de S. Oliveira, K. Bakke, Claudio Furtado · 2017 · The European Physical Journal Plus
60. A New Approach to the Quantum Hall Effect
    Reinout Woltjer, R. Eppenga, Jo Mooren, C.E. Timmering, J. P. André · 1986 · Europhysics Letters (EPL)
61. High-Dimensional Topological Insulators with Quaternionic Analytic Landau Levels
    Yi Li, Congjun Wu · 2013 · Physical Review Letters
62. On the topological immunity of corner states in two-dimensional crystalline insulators
    Guido C. P. van Miert, Carmine Ortix, Sub Cond-Matter Theory, Stat & Comp Phys, Theoretical Physics · 2020 · Utrecht University Repository (Utrecht University)
63. Imaging interedge-state scattering centers in the quantum Hall regime
    Michael T. Woodside, Chris Vale, Paul L. McEuen, Christoph Kadow, Kevin D. Maranowski, Arthur C. Gossard · 2001 · Physical review. B, Condensed matter
64. Formation of an edge striped phase in the ν=13 fractional quantum Hall system
    Eugene V. Tsiper, V. J. Goldman · 2001 · Physical review. B, Condensed matter
65. Real-space detection and manipulation of topological edge modes with ultracold atoms
    Christoph Braun, R. Saint-Jalm, Alexander Hesse, Johannes Arceri, Immanuel Bloch, Monika Aidelsburger · 2024 · Nature Physics
66. High Chern number quantum anomalous Hall phases in single-layer graphene with Haldane orbital coupling
    Tsung-Wei Chen, Zhi-Ren Xiao, Dah-Wei Chiou, Guang‐Yu Guo · 2011 · Physical Review B
67. Edge-entanglement spectrum correspondence in a nonchiral topological phase and Kramers-Wannier duality
    Wen Wei Ho, Łukasz Cincio, Heidar Moradi, Davide Gaiotto A, Guifré Vidal · 2015 · Physical Review B
68. Topological superfluid transition induced by a periodically driven optical lattice
    Guocai Liu, Ningning Hao, Shi-Liang Zhu, Weixi Liu · 2012 · Physical Review A
69. Thermoelectric Transport Signatures of Dirac Composite Fermions in the Half-Filled Landau Level
    Andrew C. Potter, Maksym Serbyn, Ashvin Vishwanath · 2016 · Physical Review X
70. Dynamically induced robust phonon transport and chiral cooling in an optomechanical system
    Seunghwi Kim, Xunnong Xu, Jacob M. Taylor, Gaurav Bahl · 2017 · Nature Communications
71. Unidirectional/Bidirectional Electron Transfer at the Au/TiO2 Interface Operando Tracked by SERS Spectra from Au and TiO2
    Xinlu Zheng, Xuefeng Yan, Jiayu Ma, Xinyun Yao, Jinlong Zhang, Lingzhi Wang · 2021 · ACS Applied Materials & Interfaces
72. R K /100 and RK/200 quantum Hall array resistance standards
    W. Poirier, Alexandre Bounouh, K. Hayashi, H. Fhima, F. Piquemal, G. Genevès, J. P. André · 2002 · Journal of Applied Physics
73. Two representations of the current density in charge-transport problems
    Susumu Komiyama, Hiroshi Hirai · 1996 · Physical review. B, Condensed matter
74. Electron in a magnetic field interacting with point impurities
    Y. Avishai, M. Ya. Azbel, S. A. Gredeskul · 1993 · Physical review. B, Condensed matter
75. Voltage-controlled dissipation in the quantum Hall effect in a laterally constricted two-dimensional electron gas
    John R. Kirtley, Z. Schlesinger, T. N. Theis, F. P. Milliken, S. L. Wright, and L. F. Palmateer · 1986 · Physical review. B, Condensed matter
76. Device-width dependence of plateau width in quantum Hall states
    Shinji Kawaji, Kazuhiko Hirakawa, Makoto Nagata · 1993 · Physica B Condensed Matter
77. Magnus and Iordanskii Forces in Superfluids
    Carlos Wexler · 1997 · Physical Review Letters
78. An introduction to quantum order, string-net condensation, and emergence of light and fermions
    Xiao-Gang Wen · 2005 · Annals of Physics
79. Topological Insulators with SU(2) Landau Levels
    Yi Li, Shoucheng Zhang, Congjun Wu · 2013 · Physical Review Letters
80. Spin-thermoelectric transport induced by interactions and spin-flip processes in two-dimensional topological insulators
    Flavio Ronetti, Luca Vannucci, Giacomo Dolcetto, Matteo Carrega, Maura Sassetti · 2016 · Physical review. B./Physical review. B
81. Perturbative approach to flat Chern bands in the Hofstadter model
    Fenner Harper, Steven H. Simon, Rahul Roy · 2014 · Physical Review B
82. Structure of a Single Sharp Quantum Hall Edge Probed by Momentum-Resolved Tunneling
    M. G. Huber, M. Grayson, M. Rother, W. Biberacher, W. Wegscheider, G. Abstreiter · 2005 · Physical Review Letters
83. Dispersion law of edge waves in the quantum Hall effect
    S. Giovanazzi, Лев П. Питаевский, S. Stringari · 1994 · Physical Review Letters
84. Equipotential distribution in the quantum Hall effect
    Enid K. Sichel, H. H. Sample, J. P. Salerno · 1985 · Physical review. B, Condensed matter
85. The quantum hall resistance in quantum wires
    François Maria Peeters · 1989 · Superlattices and Microstructures
86. Imaging the Conductance of Integer and Fractional Quantum Hall Edge States
    Nikola Pascher, Clemens Rössler, Thomas Ihn, K. Ensslin, Christian Reichl, W. Wegscheider · 2014 · Physical Review X
87. Fluctuations and entanglement spectrum in quantum Hall states
    Alexandru Petrescu, H Francis Song, Stephan Rachel, Zoran Ristivojević, Christian Flindt, Nicolas Laflorencie, Israel Klich, Nicolas Regnault, Karyn Le Hur · 2014 · Journal of Statistical Mechanics Theory and Experiment
88. Effect of strong disorder in a three-dimensional topological insulator: Phase diagram and maps of the Z2 invariant
    Bryan Leung, Emil V. Prodan · 2012 · Physical Review B
89. All-fermion electrodynamics and fermion number anomaly inflow
    Shauna Kravec, John McGreevy, Brian G. Swingle · 2015 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
90. Zero-Magnetic Field Fractional Quantum States
    Sanjeev Kumar, M. Pepper, S. N. Holmes, Henry Montagu, Y. Gul, D. A. Ritchie, Ian A. Farrer · 2019 · Physical Review Letters
91. Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials
    Vladyslav Kozii, Brian J. Skinner, Liang Fu · 2019 · Physical review. B./Physical review. B
92. Quantum Hall resistances of a multiterminal top-gated graphene device
    Dong‐Keun Ki, Hu-Jong Lee · 2009 · Physical Review B
93. Imaging nonequilibrium phonon-induced backscattering in the quantum Hall regime
    Anthony J. Kent, D. J. McKitterick, L. J. Challis, P. Hawker, Christopher J. Mellor, Mohamed Henini · 1992 · Physical Review Letters
94. (Perturbed) Conformal Field Theory Applied to 2D Disordered Systems: An Introduction
    Denis Bernard · 1997 · NATO ASI series. Series B : Physics
95. Invariance of charge of Laughlin quasiparticles
    V. J. Goldman, İsmail Karakurt, Jun Liu, Alexander Zaslavsky · 2001 · Physical review. B, Condensed matter
96. Terahertz Metamaterials Inspired by Quantum Phenomena
    Ziheng Ren, Yuze Hu, Weibao He, Siyang Hu, Shun Wan, Zhongyi Yu, Wei Liu, Quanlong Yang, Yuri S. Kivshar, Tian Jiang · 2025 · Research
97. Topologically Protected States in One-Dimensional Systems
    Charles Fefferman, James Lee-Thorp, Michael I. Weinstein · 2017 · Memoirs of the American Mathematical Society
98. Edge states on graphene ribbons in magnetic field: Interplay between Dirac and ferromagnetic-like gaps
    V. P. Gusynin, VLADIMIR A. MIRANSKY, Sergei G. Sharapov, Igor A. Shovkovy, Christopher M. Wyenberg · 2009 · Physical Review B
99. Nonlocal Transport Near Charge Neutrality Point in a Two-Dimensional Electron-Hole System
    Gennadii M. Gusev, E. B. Olshanetsky, Zee Don Kvon, Aleksandr D. Levin, Nikolay N. Mikhailov, Sergey Alekseevich Dvoretsky · 2012 · Physical Review Letters
100. Spin polarization of edge states and the magnetosubband structure in quantum wires
     Siarhei Ihnatsenka, Igor V. Zozoulenko · 2006 · Physical Review B