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

Cited by (1,001)

Items 601–700 of 1,001

1. Anderson Localization from the Berry-Curvature Interchange in Quantum Anomalous Hall Systems
   Zhenhua Qiao, Yulei Han, Lei Zhang, Ke Wang, Xinzhou Deng, Hua Wei Jiang, Shengyuan A. Yang, Jian Wang, Qian Niu · 2016 · Physical Review Letters
2. Perfect Crossed Andreev Reflection in Dirac Hybrid Junctions in the Quantum Hall Regime
   Song-Bo Zhang, Björn Trauzettel · 2019 · Physical Review Letters
3. Fractionalization and anyonic statistics in the integer quantum Hall collider
   Tom Morel, June-Young M. Lee, H.-S. Sim, Christophe Mora · 2022 · Physical review. B./Physical review. B
4. On the Bott index of unitary matrices on a finite torus
   Daniele Toniolo · 2022 · Letters in Mathematical Physics
5. Composite-Fermion Picture for the Spin-Wave Excitation in the Fractional Quantum Hall System
   Takashi Nakajima, Hideo Aoki · 1994 · Physical Review Letters
6. Electronic structure of a magnetic quantum ring
   Nammee Kim, G. Ihm, H.-S. Sim, K. J. Chang · 1999 · Physical review. B, Condensed matter
7. Dynamic Excitations of Fractional Quantum Hall Edge Channels
   Gabriele Ernst, Nikolai B. Zhitenev, R. J. Haug, Klaus von Klitzing · 1997 · Physical Review Letters
8. Thermopower and thermal conductivity in two-dimensional systems in a quantizing magnetic field
   H. C. A. Oji · 1984 · Physical review. B, Condensed matter
9. Peculiarities of dynamics of Dirac fermions associated with zero-mass lines
   T. Tudorovskiy, Mikhail I. Katsnelson · 2012 · Physical Review B
10. Integer quantum magnon Hall plateau-plateau transition in a spin-ice model
    Baolong Xu, Tomi Ohtsuki, Ryuichi Shindou · 2016 · Physical review. B./Physical review. B
11. Emerging topological states in quasi‐two‐dimensional materials
    Huaqing Huang, Yong Xu, Jianfeng Wang, Wenhui Duan · 2016 · Wiley Interdisciplinary Reviews Computational Molecular Science
12. Quasiparticles in condensed matter systems
    P. Wölfle · 2017 · Reports on Progress in Physics
13. Critical points in edge tunneling between generic fractional quantum Hall states
    Joel E. Moore, Xiao-Gang Wen · 2002 · Physical review. B, Condensed matter
14. Domain Wall in a Chiral p -Wave Superconductor: A Pathway for Electrical Current
    I. Serban, Benjámin Béri, Anton Roustiamovich Akhmerov, C. W. J. Beenakker · 2010 · Physical Review Letters
15. Edge structure of fractional quantum Hall systems from density-functional theory
    Maurizio Ferconi, Michael R. Geller, Giovanni Vignale · 1995 · Physical review. B, Condensed matter
16. Theory of edge states in systems with Rashba spin-orbit coupling
    A. A. Reynoso, Gonzalo Usaj, María José Sánchez, C. A. Balseiro · 2004 · Physical Review B
17. Spin Hall effect and spin transfer in a disordered Rashba model
    D. N. Sheng, Li Sheng, Zheng-Yu Weng, F. D. M. Haldane · 2005 · Physical Review B
18. Quantized Hall Currents in the High Field Phase of α−(BEDT−TTF)2TlHg(SCN)4
    N. Harrison, A.A. House, Mark V. Kartsovnik, Anton Polisski, John Singleton, F. Herlach, William Hayes, N.D. Kushch · 1996 · Physical Review Letters
19. Dirac half-metallicity of Thin PdCl3 Nanosheets: Investigation of the Effects of External Fields, Surface Adsorption and Defect Engineering on the Electronic and Magnetic Properties
    A. Bafekry, Catherine Stampfl, François Maria Peeters · 2020 · Scientific Reports
20. Ultrafast voltage sampling using single-electron wavepackets
    Nathan Johnson, J. D. Fletcher, David A. Humphreys, Patrick See, Jonathan P. Griffiths, G. A. C. Jones, Ian A. Farrer, D. A. Ritchie, M. Pepper, T. J. B. M. Janssen et al. · 2017 · Applied Physics Letters
21. Quantum skyrmionics
    Héctor Ochoa, Yaroslav Tserkovnyak · 2019 · International Journal of Modern Physics B
22. Magnetometry of low-dimensional electron and hole systems
    A. Usher, Martin Elliott · 2009 · Journal of Physics Condensed Matter
23. Is the Quantum Hall Effect Influenced by the Gravitational Field?
    Friedrich W. Hehl, Yuri N. Obukhov, Bernd Rosenow · 2004 · Physical Review Letters
24. Localization in the quantum Hall regime
    Bernhard Krämer, Stefan Kettemann, Tomi Ohtsuki · 2003 · Physica E Low-dimensional Systems and Nanostructures
25. RK/100 and RK/200 Quantum Hall Array Resistance Standards
    W. Poirier, Alexandre Bounouh, Hayashi, K., H. Fhima, François Piquemal, G. Genevès, J. P. André · 2002 · HAL
26. THE CHARACTERIZATION OF TOPOLOGICAL PROPERTIES IN QUANTUM MONTE CARLO SIMULATIONS OF THE KANE–MELE–HUBBARD MODEL
    Zi Yang Meng, Hsiang-Hsuan Hung, Thomas C. Lang · 2013 · Modern Physics Letters B
27. Microlocal Analysis of the Bulk-Edge Correspondence
    Alexis Drouot · 2020 · Communications in Mathematical Physics
28. Exchange interaction in a quantum wire in a strong magnetic field
    Jari M. Kinaret, Patrick A. Lee · 1990 · Physical review. B, Condensed matter
29. Generic properties of quantum Hall hamiltonians for finite systems
    J. E. Avron, Ruedi Seiler, Boris Shapiro · 1986 · Nuclear Physics B
30. Unconventional features in the quantum Hall regime of disordered graphene: Percolating impurity states and Hall conductance quantization
    Nicolas Leconte, Frank Ortmann, Alessandro Cresti, Stephan Roche · 2016 · Physical review. B./Physical review. B
31. Creating topological interfaces and detecting chiral edge modes in a two-dimensional optical lattice
    Nathan Goldman, Gregor Jotzu, Michael Messer, Frederik Görg, Rémi Desbuquois, Tilman Esslinger · 2016 · Physical Review A
32. Disorder-induced transitions in resonantly driven Floquet topological insulators
    Paraj Titum, Netanel H. Lindner, Gil Refael · 2017 · Physical review. B./Physical review. B
33. Imaging Fractional Incompressible Stripes in Integer Quantum Hall Systems
    Nicola Paradiso, Stefan Heun, Stefano Roddaro, Lucia Sorba, Fabio Beltram, G. Biasiol, Loren N. Pfeiffer, K. W. West · 2012 · Physical Review Letters
34. Symmetry-protected \mathbb{Z}_2 -quantization and quaternionic Berry connection with Kramers degeneracy
    Yasuhiro Hatsugai · 2010 · New Journal of Physics
35. Transitions between spin-split edge channels in the quantum-Hall-effect regime
    Alexander V. Khaetskii · 1992 · Physical review. B, Condensed matter
36. Measurements and modeling of nonlocal resistance in the fractional quantum Hall effect
    J. K. Wang, V. J. Goldman · 1992 · Physical review. B, Condensed matter
37. Quantum Hall effect in silicon metal-oxide-semiconductor inversion layers: Experimental conditions for determination of h/ e2
    Kazuo Yoshihiro, J. Kinoshita, 勝哉 稲垣, Chikako Yamanouchi, Tadashi Endo, Yasushi Murayama, M. Koyanagi, Atsuo Yagi, Jun-Ichi Wakabayashi, Shinji Kawaji · 1986 · Physical review. B, Condensed matter
38. Very high-energy collective states of partons in fractional quantum Hall liquids
    Ajit Coimbatore Balram, Zhao Liu, Andrey Gromov, Zlatko Papić · 2021 · arXiv (Cornell University)
39. Perspective: Floquet engineering topological states from effective models towards realistic materials
    Fangyang Zhan, Rui Chen, Zhen Ning, Da‐Shuai Ma, Ziming Wang, Dong-Hui Xu, Rui Wang · 2024 · Quantum Frontiers
40. Quantum Hall effect in quantum electrodynamics
    Alexander A. Penin · 2009 · Physical Review B
41. Fractionally Charged Zero-Energy Single-Particle Excitations in a Driven Fermi Sea
    Michael V. Moskalets · 2016 · Physical Review Letters
42. Angular momentum and topology in semiconducting single-wall carbon nanotubes
    Wataru Izumida, Rin Okuyama, Ai Yamakage, Riichiro Saito · 2016 · Physical review. B./Physical review. B
43. LO-Phonon Emission Rate of Hot Electrons from an On-Demand Single-Electron Source in a GaAs/AlGaAs Heterostructure
    Nathan Johnson, Clive Emary, Sungguen Ryu, H.-S. Sim, Patrick See, J. D. Fletcher, J. P. Griffiths, Glenn A Jones, Ian A. Farrer, D. A. Ritchie et al. · 2018 · Physical Review Letters
44. Tomonaga–Luttinger-liquid nature of edge excitations in integer quantum Hall edge channels
    Masayuki Hashisaka, T. Fujisawa · 2018 · Reviews in Physics
45. Degeneracy and consistency condition for Berry phases: Gap closing under a local gauge twist
    Takaaki Hirano, Hosho Katsura, Yasuhiro Hatsugai · 2008 · Physical Review B
46. Quantum Hall effect in carbon nanotubes and curved graphene strips
    Enrico Perfetto, J. González, F. Guinea, Stefano Bellucci A, Pasquale Onorato · 2007 · Physical Review B
47. Quantization of the Hall conductance in a two-dimensional electron gas
    Gabriele F. Giuliani, J. J. Quinn, S. C. Ying · 1983 · Physical review. B, Condensed matter
48. Inductive Probing of the Integer Quantum Hall Effect
    E. Yahel, Dror Orgad, A. Palevski, Hadas Shtrikman · 1996 · Physical Review Letters
49. Chapter 4: The Quantum Hall Effect in Open Conductors
    Μ. Büttiker · 1992 · Semiconductors and semimetals
50. Thermomagnetic coefficients of inversion layer in high magnetic field
    P. Středa · 1983 · Journal of Physics C Solid State Physics
51. Theory of Spin Hall Effects in Semiconductors
    Hans‐Andreas Engel, Emmanuel I. RASHBA, Bertrand I. Halperin · 2007 · Handbook of Magnetism and Advanced Magnetic Materials
52. Observation of edge and bulk states in a three-site Kitaev chain
    Sebastiaan L. D. ten Haaf, Yining Zhang, Qingzhen Wang, Alberto Bordin, Chun-Xiao Liu, Ivan Kulesh, Vincent P. M. Sietses, Christian G. Prosko, Di Xiao, Candice Thomas et al. · 2025 · Nature
53. Three-dimensional topological insulator in a magnetic field: chiral side surface states and quantized Hall conductance
    Yan-Yang Zhang, X. R. Wang, X C Xie · 2011 · Journal of Physics Condensed Matter
54. Nonequilibrated Counterpropagating Edge Modes in the Fractional Quantum Hall Regime
    Anna Grivnin, Hiroyuki Inoue, Yuval Ronen, Yuval Baum, Moty Heiblum, V. Umansky, D. Mahalu · 2014 · Physical Review Letters
55. Parity anomaly in four dimensions
    Maxim A. Kurkov, Dmitri Vassilevich · 2017 · Physical review. D/Physical review. D.
56. Twisted Fermi surface of a thin-film Weyl semimetal
    Nicandro Bovenzi, Maxim Breitkreiz, Thomas E. O’Brien, J. Tworzydło, C. W. J. Beenakker · 2018 · New Journal of Physics
57. Bosonic fractional quantum Hall states on a finite cylinder
    Paolo Rosson, Michael Lubasch, Martin Kiffner, Dieter Jaksch · 2019 · Physical Review A
58. Seeing topological winding number and band inversion in photonic dimer chain of split-ring resonators
    Jun Jiang, Jie Ren, Zhiwei Guo, Weiwei Zhu, Yang Long, Haitao Jiang, Hong Chen · 2020 · Physical review. B./Physical review. B
59. GAUGE COUPLINGS CALCULATED FROM MULTIPLE POINT CRITICALITY YIELD α-1 = 137 ± 9: AT LAST, THE ELUSIVE CASE OF U(1)
    D. L. Bennett, HOLGER BECH NIELSEN · 1999 · International Journal of Modern Physics A
60. Topological aspects of graphene
    Yasuhiro Hatsugai, Takahiro Fukui, Hideo Aoki · 2007 · The European Physical Journal Special Topics
61. Bulk-boundary correspondence in three-dimensional topological insulators
    Леонид Исаев, Y. H. Moon, Gerardo Ortíz · 2011 · Physical Review B
62. Chiral surface waves on hyperbolic-gyromagnetic metamaterials
    Ruey-Lin Chern, You-Zhong Yu · 2017 · Optics Express
63. Observation of the integer quantum Hall effect by magnetic coupling to a Corbino ring
    B. Jeanneret, Blair D. Hall, H.‐J. Bühlmann, R. Houdré, Marc Ilegems, Beat Jeckelmann, Ulrich Feller · 1995 · Physical review. B, Condensed matter
64. Quantum Hall fluid of vortices in a two-dimensional array of Josephson junctions
    Ady Stern · 1994 · Physical review. B, Condensed matter
65. Weak Levitation of 2D Delocalized States in a Magnetic Field
    Tigran V. Shahbazyan, M. É. Raǐkh · 1995 · Physical Review Letters
66. Ratio between edge and bulk currents in the quantum Hall effect
    Hiroshi Hirai, Susumu Komiyama · 1994 · Physical review. B, Condensed matter
67. Structuring the set of incompressible quantum Hall fluids
    Jürg Martin Fröhlich, Thomas Kerler, Urban M. Studer, E. Thiran · 1995 · Nuclear Physics B
68. The decay of induced eddy currents in a two-dimensional electron system
    C.L Jones, A. Usher, Martin Elliott, W G Herrenden-Harker, A Potts, R Shepherd, T.S. Cheng, C. T. B. Foxon · 1995 · Solid State Communications
69. Experimental demonstration of surface morphology independent electromagnetic chiral edge states originated from magnetic plasmon resonance
    Yin Poo, Rui‐Xin Wu, Shiyang Liu, Yan Yang, Zhifang Lin, S. T. Chui · 2012 · Applied Physics Letters
70. Topologically protected edge states in small Rydberg systems
    Sebastian Weber, Sylvain de Léséleuc, Vincent Lienhard, Daniel Barredo, Thierry Lahaye, Antoine Browaeys, Hans Peter Büchler · 2018 · Quantum Science and Technology
71. Fractional edge reconstruction in integer quantum Hall phases
    Udit Khanna, Moshe Goldstein, Yuval Gefen · 2021 · Physical review. B./Physical review. B
72. Chiral edge modes in evolutionary game theory: A kagome network of rock-paper-scissors cycles
    Tsuneya Yoshida, Tomonari Mizoguchi, Yasuhiro Hatsugai · 2021 · Physical review. E
73. Topological Langmuir-cyclotron wave
    Hong Qin, Yichen Fu · 2023 · Science Advances
74. Quantum railroads: Introducing directionality to Anderson localization
    C. Barnes, B. L. Johnson, George Kirczenow · 1993 · Physical Review Letters
75. Quantum Hall Conductivity and the Electronic States in Cylinder Geometry with Finite Width
    Tomi Ohtsuki, Yoshiyuki Ono · 1989 · Journal of the Physical Society of Japan
76. Electronic properties of fractal-glass models
    William A. Schwalm, Mizuho K. Schwalm · 1989 · Physical review. B, Condensed matter
77. Single-particle density of states, bound states, phase-shift flip, and a resonance in the presence of an Aharonov-Bohm potential
    Alexander Moroz · 1996 · Physical Review A
78. The enigma of the quantum Hall effect in graphene
    S. Das Sarma, Kun Yang · 2009 · Solid State Communications
79. An analogue of Hawking radiation in the quantum Hall effect
    Michael Stone · 2013 · Classical and Quantum Gravity
80. Spatially resolved analysis of edge-channel equilibration in quantum Hall circuits
    Nicola Paradiso, Stefan Heun, Stefano Roddaro, Davide Venturelli, Fabio Taddei, Vittorio Giovannetti, Rosario Fazio B, G. Biasiol, Lucia Sorba, Fabio Beltram · 2011 · Physical Review B
81. Noncollinear magnetic phases and edge states in graphene quantum Hall bars
    José Luis Lado, Joaquín Fernández-Rossier · 2014 · Physical Review B
82. Spin-directed network model for the surface states of weak three-dimensional Z 2 topological insulators
    Hideaki Obuse, Shinsei Ryu, Akira Furusaki, Christopher Mudry · 2014 · Physical Review B
83. Statistical analysis of the Chern number in the interacting Haldane-Hubbard model
    Thomas Mertz, Karim Zantout, Roser Valentí · 2019 · Physical review. B./Physical review. B
84. Bulk detection of time-dependent topological transitions in quenched chiral models
    Alessio D’Errico, Francesco Di Colandrea, Raouf Barboza, Alexandre Dauphin, Maciej Lewenstein, Pietro Massignan, Lorenzo Marrucci, Filippo Cardano · 2020 · Physical Review Research
85. Electronic Quantum Materials Simulated with Artificial Model Lattices
    S. E. Freeney, Marlou R. Slot, Thomas S. Gardenier, Ingmar Swart, Daniel A. M. Vanmaekelbergh · 2022 · ACS Nanoscience Au
86. The quantum anomalous Hall effect in kagomé lattices
    Zhi-Yong Zhang · 2011 · Journal of Physics Condensed Matter
87. Induced electric dipole in a quantum ring
    L. Dantas, Claudio Furtado · 2013 · Physics Letters A
88. Linear and nonlinear waves in edge channels
    Nikolai B. Zhitenev, R. J. Haug, Klaus von Klitzing, K. Eberl · 1995 · Physical review. B, Condensed matter
89. Quantized Hall conductance in a relativistic two-dimensional electron gas
    Allan H. MacDonald · 1983 · Physical review. B, Condensed matter
90. One-Dimensional Fractional Quantized Hall Effect
    S. T. Chui · 1986 · Physical Review Letters
91. On edge states in semi-infinite quantum Hall systems
    Nicolas Macris, Philippe Martin, Joseph V. Pulé · 1999 · Journal of Physics A Mathematical and General
92. Resistance fluctuations in the quantum Hall regime
    P. C. Main, Andre K. Geim, Humberto A. Carmona, C. V. Brown, T.J. Foster, Rafael Taboryski, P. E. Lindelöf · 1994 · Physical review. B, Condensed matter
93. Numerical study of electronic states in confined two dimensional disordered systems under high magnetic fields
    Tomi Ohtsuki, Y. Ono · 1988 · Solid State Communications
94. The quantised Hall effect in strong magnetic fields
    Sergey M. Apenko, Yu. E. Lozovik · 1985 · Journal of Physics C Solid State Physics
95. Kubo Hall conductivity on a finite cylinder and the integer quantum hall effect
    J. Hajdu, M. Jan�en, O. Viehweger · 1987 · The European Physical Journal B
96. Phase separation of edge states in the integer quantum Hall regime
    Luis Brey, Juan Jose Palacios, C. Tejedor · 1993 · Physical review. B, Condensed matter
97. Particles in non-Abelian gauge potentials: Landau problem and insertion of non-Abelian flux
    Benoit Estienne, S. M. Haaker, Kareljan Schoutens · 2011 · New Journal of Physics
98. Quantized Hall Conductance of a Single Atomic Wire: A Proposal Based on Synthetic Dimensions
    Salerno, Grazia, Hannah M. Price, Martin Lebrat, Samuel Häusler, Tilman Esslinger, Laura Corman, Jean-Philippe Brantut, Nathan Goldman · 2019 · Repository for Publications and Research Data (ETH Zurich)
99. Relaxation of an electron wave packet at the quantum Hall edge at filling factor ν=2
    A. O. Slobodeniuk, Edvin G. Idrisov, Eugene V. Sukhorukov · 2016 · Physical review. B./Physical review. B
100. Scanning tunneling microscopy of two-dimensional semiconductors: Spin properties and disorder
     Markus Morgenstern, Alexander Georgi, Carola Straßer, Christian R. Ast, S. Becker, Marcus Liebmann · 2012 · Physica E Low-dimensional Systems and Nanostructures