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

Cited by (1,001)

Items 701–800 of 1,001

1. Unique nature of the lowest Landau level in finite graphene samples with zigzag edges: Dirac electrons with mixed bulk-edge character
   Igor Romanovsky, Constantine Yannouleas, Uzi Landman · 2011 · Physical Review B
2. Exact solution of generalized Schulz–Shastry type models
   Andreas Osterloh, Luigi Amico A, Ulrich Eckern · 2000 · Nuclear Physics B
3. Classification of crystalline insulators without symmetry indicators: Atomic and fragile topological phases in twofold rotation symmetric systems
   Sander H. Kooi, Guido C. P. van Miert, Carmine Ortix · 2019 · Physical review. B./Physical review. B
4. Time-resolved tunneling in the quantum Hall regime
   N. C. van der Vaart, Leo P. Kouwenhoven, M.P. de Ruyter van Steveninck, Yuli V. Nazarov, C. J. P. M. Harmans, C. T. B. Foxon · 1997 · Physical review. B, Condensed matter
5. Superconductor–normal-metal–superconductor junction in a strong magnetic field
   A. Yu. Zyuzin · 1994 · Physical review. B, Condensed matter
6. Composite fermions, edge currents, and the fractional quantum Hall effect
   George Kirczenow, Brad L Johnson · 1995 · Physical review. B, Condensed matter
7. Quantized Hall effect in two-dimensional periodic potentials
   D. J. Thouless · 1984 · Physics Reports
8. Spontaneous coherence and collective modes in double-layer quantum-dot systems
   Jun Hu, Elbio R. Dagotto, Allan H. MacDonald · 1996 · Physical review. B, Condensed matter
9. Critical currents of ideal quantum Hall superfluids
   Ramin Abolfath, Allan H. MacDonald, Leo Radzihovsky · 2003 · Physical review. B, Condensed matter
10. Aharonov-Bohm Effect for the Quantum Hall Conductivity on a Disordered Lattice
    Hideo Aoki · 1985 · Physical Review Letters
11. Current Contacts and Current Distribution in the Quantum Hall Effect
    P. C. van Son, T. M. Klapwijk · 1990 · Europhysics Letters (EPL)
12. Experimental study of the current flow in the quantum Hall regime
    Ch. Simon, Bennett B. Goldberg, Frank F. Fang, M. Thomas, S. L. Wright · 1986 · Physical review. B, Condensed matter
13. The Hall effect in a two-dimensional electron gas
    J. T. Chalker · 1983 · Journal of Physics C Solid State Physics
14. Bimodal conductance distribution of Kitaev edge modes in topological superconductors
    M Diez, I C Fulga, D I Pikulin, J Tworzydło, C. W. J. Beenakker · 2014 · New Journal of Physics
15. Topological boundary modes in jammed matter
    Daniel M. Sussman, Olaf Stenull, T. C. Lubensky · 2016 · Soft Matter
16. Robust edge modes in dislocated systems of subwavelength resonators
    Habib M. Ammari, Bryn Davies, Erik Orvehed Hiltunen · 2022 · Journal of the London Mathematical Society
17. Multiphoton resonance and chiral transport in the generalized Rabi model
    Ken K. W. Ma · 2020 · Physical Review A
18. Square-root topological phase with time-reversal and particle-hole symmetry
    Tsuneya Yoshida, Tomonari Mizoguchi, Yoshihito Kuno, Yasuhiro Hatsugai · 2021 · Physical review. B./Physical review. B
19. Observation of bulk-edge correspondence in topological pumping based on a tunable electric circuit
    Kenichi Yatsugi, Tsuneya Yoshida, Tomonari Mizoguchi, Yoshihito Kuno, Hideo Iizuka, Yukihiro Tadokoro, Yasuhiro Hatsugai · 2022 · Communications Physics
20. Quantized persistent currents in quantum dot at strong magnetic field
    Y. Avishai, Mahito Kohmoto · 1993 · Physical Review Letters
21. Quantum transport properties of two-dimensional electron gases under high magnetic fields
    Thierry Champel, Serge Florens · 2007 · Physical Review B
22. Metallic and insulating states at a bent quantum Hall junction
    M. Grayson, Lucia Steinke, D. Schuh, Max Bichler A, Lutz Hoeppel, Jurgen H. Smet, Klaus von Klitzing, Duncan Kennedy Maude, G. Abstreiter · 2007 · Physical Review B
23. Suppression of inter-edge-state equilibration due to multiple scattering with impurities
    Thierry Martin, Shechao Charles Feng · 1991 · Physical review. B, Condensed matter
24. Extended topological group structure due to average reflection symmetry
    M Diez, D I Pikulin, I C Fulga, J Tworzydło · 2015 · New Journal of Physics
25. Quantized Rabi oscillations and circular dichroism in quantum Hall systems
    D. T. Tran, Nigel R. Cooper, Nathan Goldman · 2018 · Physical Review A
26. Quantized Hall Conductance of a Single Atomic Wire: A Proposal Based on Synthetic Dimensions
    G. Salerno, H. M. Price, Martin Lebrat, Samuel Häusler, Tilman Esslinger, Laura Corman, Jean-Philippe Brantut, Nathan Goldman · 2019 · Physical Review X
27. Quantum Hall Response to Time-Dependent Strain Gradients in Graphene
    Eran Sela, Yakov Bloch, Felix von Oppen, M. Ben Shalom · 2020 · Physical Review Letters
28. Edge probes of topological order
    Moty Heiblum, Dima E. Feldman · 2020 · International Journal of Modern Physics A
29. Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
    Liam Cohen, Noah L. Samuelson, Taige Wang, Takashi Taniguchi, Kenji Watanabe, Michael P. Zaletel, Andrea F. Young · 2023 · Science
30. Tunneling spectroscopy of topological superconductors
    Satoshi Kashiwaya, Hiromi Kashiwaya, Kohta Saitoh, Yasunori Mawatari, Yukio Tanaka · 2013 · Physica E Low-dimensional Systems and Nanostructures
31. Multichannel architecture for electronic quantum Hall interferometry
    Vittorio Giovannetti, Fabio Taddei, Diego Frustaglia, Rosario Fazio B · 2008 · Physical Review B
32. Fractionalization Noise in Edge Channels of Integer Quantum Hall States
    Izhar Neder · 2012 · Physical Review Letters
33. Emergence of gapped bulk and metallic side walls in the zeroth Landau level in Dirac and Weyl semimetals
    Ching-Kit Chan, Patrick A. Lee · 2017 · Physical review. B./Physical review. B
34. Fate of interaction-driven topological insulators under disorder
    Jing Wang, Carmine Ortix, Jeroen van den Brink, Dmitry V. Efremov · 2017 · Physical review. B./Physical review. B
35. Dynamic suppression of Rayleigh backscattering in dielectric resonators
    Seunghwi Kim, Jacob M. Taylor, Gaurav Bahl · 2019 · Optica
36. Mechanical graphene
    Joshua E. S. Socolar, T. C. Lubensky, C. L. Kane · 2017 · New Journal of Physics
37. Geometric invariants of the quantum Hall effect
    Jingbo Xia · 1988 · Communications in Mathematical Physics
38. Scattering models of conduction around an antidot in a magnetic field
    George Kirczenow · 1994 · Physical review. B, Condensed matter
39. Edge and Impurity Effects on Quantization of Hall Currents
    J. M. Combes, Fran�ois Germinet · 2005 · Communications in Mathematical Physics
40. Quantum interference in two independently tunable parallel point contacts
    S. W. Hwang, J. A. Simmons, Daniel C. Tsui, MANSOUR SHAYEGAN · 1991 · Physical review. B, Condensed matter
41. Topological Invariants and Ground-State Wave functions of Topological Insulators on a Torus
    Zhong Wang, Shoucheng Zhang · 2014 · Physical Review X
42. Microscopics of disordered two-dimensional electron gases under high magnetic fields: Equilibrium properties and dissipation in the hydrodynamic regime
    Thierry Champel, Serge Florens, Léonie Canet · 2008 · Physical Review B
43. Infinite symmetry in the fractional quantum Hall effect
    Michael Flohr, R Varnhagen · 1994 · Journal of Physics A Mathematical and General
44. Magnetostatic wave analog of integer quantum Hall state in patterned magnetic films
    Ryuichi Shindou, Jun-ichiro Ohe · 2014 · Physical Review B
45. Density-functional theory of quantum wires and dots in a strong magnetic field
    T. H. Stoof, Gerrit E. W. Bauer · 1995 · Physical review. B, Condensed matter
46. Shot-Noise Signatures of Charge Fractionalization in the ν=2 Quantum Hall Edge
    Mirco Milletarì, Bernd Rosenow · 2013 · Physical Review Letters
47. Dirac fermion quantization on graphene edges: Isospin-orbit coupling, zero modes, and spontaneous valley polarization
    G. Tkachov · 2009 · Physical Review B
48. Variational approach to (2+1)-dimensional QED
    Paolo Cea A · 1985 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
49. Effects of interface charge on the quantum Hall effect
    J. E. Furneaux, T. L. Reinecke · 1986 · Physical review. B, Condensed matter
50. Rashba spin precession in quantum-Hall edge channels
    Marco G. Pala, Michele Governale, Ulrich Zülicke, Giuseppe Iannaccone · 2005 · Physical Review B
51. Quantum dot arrays: A new picture of the quantum Hall effect in two-dimensional crystals
    Brad L Johnson, George Kirczenow · 1992 · Physical Review Letters
52. Fractional-quantum-Hall edge electrons and Fermi statistics
    Ulrich Zülicke, Juan Jose Palacios, Allan H. MacDonald · 2003 · Physical review. B, Condensed matter
53. Quantum group, Bethe ansatz equations, and Bloch wave functions in magnetic fields
    Yasuhiro Hatsugai, Mahito Kohmoto, Yong-Shi Wu · 1996 · Physical review. B, Condensed matter
54. Influence of long-range disorder on electron motion in two dimensions
    D. Taras-Semchuk, K. B. Efetov · 2001 · Physical review. B, Condensed matter
55. Overshoot of quantum Hall plateaus
    Curt A. Richter, Robert G. Wheeler, Robert N. Sacks · 1992 · Surface Science
56. Extended topological group structure due to average reflection symmetry.
    Mathias Diez, Pikulin, D.I., Fulga, I.C., Tworzydlo, J. · 2015 · Leiden Repository (Leiden University)
57. Measured Potential Profile in a Quantum Anomalous Hall System Suggests Bulk-Dominated Current Flow
    Ilan T. Rosen, Molly P. Andersen, Linsey K. Rodenbach, Lixuan Tai, Peng Zhang, K.L. Wang, M. A. Kastner, David Goldhaber‐Gordon · 2022 · Physical Review Letters
58. Gapless edge states of background field theory and translation-symmetric Z2 spin liquids
    Gil Young Cho, Yuan-Ming Lu, Joel E. Moore · 2012 · Physical Review B
59. Chiral two-dimensional electron gas in a periodic magnetic field: Persistent current and quantized anomalous Hall effect
    Mathieu Taillefumier, Vitalii K Dugaev, B. Canals, Claudine Lacroix, P. Bruno · 2008 · Physical Review B
60. Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene
    Wolfgang Häusler, Alessandro De Martino, Tarun Kanti Ghosh, Reinhold Egger · 2008 · Physical Review B
61. Transport in the Laughlin quasiparticle interferometer: Evidence for topological protection in an anyonic qubit
    Fernando Camino, Wei Zhou, V. J. Goldman · 2006 · Physical Review B
62. Spectra of soft ring graphs
    Pavel Exner, Miloš Tater · 2004 · Waves in Random Media
63. Plasmon modes and correlation functions in quantum wires and Hall bars
    Ulrich Zülicke, Allan H. MacDonald · 1996 · Physical review. B, Condensed matter
64. Realization of dual, tunable, ordinary- and quantized-Hall resistances in doubly connected GaAs/AlGaAs heterostructures
    R. G. Mani, Klaus von Klitzing · 1993 · Zeitschrift für Physik B Condensed Matter
65. Effect of spin degeneracy on scaling in the quantum Hall regime
    Charles B. Hanna, Daniel P. Arovas, Kieran J. Mullen, S. M. Girvin · 1995 · Physical review. B, Condensed matter
66. Quantum shot noise in edge channels
    Moty Heiblum · 2006 · physica status solidi (b)
67. Bistability in the current-induced breakdown of the quantum Hall effect
    F. J. Ahlers, G. Hein, Hansjorg Scherer, L Bilek, Heinrich. Nickel, RAINER LOSCH, W. Schlapp · 1993 · Semiconductor Science and Technology
68. Singlet quantum Hall effect and Chern-Simons theories
    Alexander V. Balatsky, Eduardo Fradkin · 1991 · Physical review. B, Condensed matter
69. Termination of the quantized Hall effect by the electron solid
    V. M. Pudalov, Marie D'Iorio, J.W. Campbell · 1994 · Surface Science
70. Chiral metal as a ferromagnetic super spin chain
    Leon Balents, Matthew P. A. Fisher, Martin R. Zirnbauer · 1997 · Nuclear Physics B
71. Edge-state transport and conductance fluctuations in the metallic phase of the quantum Hall regime
    Dmitrii L. Maslov, Daniel Loss · 1993 · Physical Review Letters
72. Evidence for Bulk Current in Hall Bar Samples and Potential Screening in the Integer Quantum Hall Effect
    E. Yahel, A. Tsukernik, A. Palevski, Hadas Shtrikman · 1998 · Physical Review Letters
73. Interedge tunneling in quantum Hall line junctions
    Eun-Ah Kim, Eduardo Fradkin · 2003 · Physical review. B, Condensed matter
74. Nonequilibrium distribution of edge and bulk current in a quantum Hall conductor
    P. C. van Son, F. W. de Vries, T. M. Klapwijk · 1991 · Physical review. B, Condensed matter
75. Rules for dissipationless topotronics
    Qing Yan, Hailong Li, Hua Wei Jiang, Qing‐Feng Sun, X. C. Xie · 2024 · Science Advances
76. Disordered Chern insulator with a two-step Floquet drive
    Sthitadhi Roy, G. J. Sreejith · 2016 · Physical review. B./Physical review. B
77. Strain tuned topology in the Haldane and the modified Haldane models
    Marwa Mannaï, Sonia Haddad · 2020 · Journal of Physics Condensed Matter
78. Upstream modes and antidots poison graphene quantum Hall effect
    N. Moreau, Boris Brun, S. Somanchi, K. Watanabe, T. Taniguchi, Christoph Stampfer, B. Hackens · 2021 · Nature Communications
79. Bound state solution and thermodynamic properties of the screened cosine Kratzer potential under influence of the magnetic field and Aharanov–Bohm flux field
    Kaushal R. Purohit, Rajendrasinh H. Parmar, Ajay Kumar · 2020 · Annals of Physics
80. Boundary theory of the X-cube model in the continuum
    Zhu-Xi Luo, Ryan C. Spieler, Hao-Yu Sun, Andreas Karch B · 2022 · Physical review. B./Physical review. B
81. Short-range entangled bosonic states with chiral edge modes and T duality of heterotic strings
    Eugeniu Plamadeala, Michael Mulligan, Chetan Nayak · 2013 · Physical Review B
82. Characterization of three-dimensional topological insulators by two-dimensional invariants
    Rahul Roy · 2010 · New Journal of Physics
83. On the AdS/BCFT approach to quantum Hall systems
    Dmitry Melnikov, Emanuele Orazi, Pasquale Sodano · 2013 · Journal of High Energy Physics
84. A note on entanglement entropy and quantum geometry
    Norbert Bodendorfer · 2014 · Classical and Quantum Gravity
85. Physical principles underlying the quantum Hall effect
    Samuel Bieri, Jürg Martin Fröhlich · 2011 · Comptes Rendus Physique
86. General picture of quantum Hall transitions in quantum antidots
    D. R. Mace, C. H. W. Barnes, G. Faini, D. Mailly, Michelle Yvonne Simmons, Christopher J. B. Ford, M. Pepper · 1995 · Physical review. B, Condensed matter
87. Electrochemical preparation of a stable accumulation layer on Si: A synchrotron radiation photoelectron spectroscopy study
    Katarzyna Skorupska, Michael Lublow, M. Kanis, Helmut Jungblut, Hans Joachim Lewerenz · 2005 · Applied Physics Letters
88. Edge Current in the Quantum Hall Effect
    Ken-ichi Shizuya · 1994 · Physical Review Letters
89. Tunneling gap of laterally separated quantum Hall systems
    Marcus Kollar, Subir Sachdev A · 2002 · Physical review. B, Condensed matter
90. Nonhomogeneous magnetic-field-induced magnetic edge states and their transport in a quantum wire
    S. M. Badalyan, François Maria Peeters · 2001 · Physical review. B, Condensed matter
91. Duality and the fractional quantum Hall effect
    A.P. Balachandran, L. Chandar, B. Sathiapalan · 1995 · Nuclear Physics B
92. Electron orbits in an impure metal in the presence of a strong magnetic field
    M. Ya. Azbel, Ora Entin-wohlman A · 1985 · Physical review. B, Condensed matter
93. Single-electron coherence: Finite temperature versus pure dephasing
    Michael V. Moskalets, Géraldine Haack · 2015 · Physica E Low-dimensional Systems and Nanostructures
94. Galilean invariance at quantum Hall edge
    Sergej Moroz, Carlos Hoyos, Leo Radzihovsky · 2015 · Physical Review B
95. Spectral distribution and wave function of electrons emitted from a single-particle source in the quantum Hall regime
    F. Battista, Peter Samuelsson · 2012 · Physical Review B
96. Symmetry and topology of two-dimensional noncentrosymmetric superconductors
    Kirill V. Samokhin · 2015 · Physical Review B
97. From fractional boundary charges to quantized Hall conductance
    Manisha Thakurathi, Jelena Klinovaja, Daniel Loss · 2018 · Physical review. B./Physical review. B
98. Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
    Emanuele Tirrito, Matteo Rizzi, Germán Sierra, Maciej Lewenstein, A. Bermúdez · 2019 · Physical review. B./Physical review. B
99. The chiral SYK model
    Biao Lian, Shivaji L. Sondhi, Zhenbin Yang · 2019 · Journal of High Energy Physics
100. Absence of equilibrium edge currents in theoretical models of topological insulators
     Wei Chen · 2020 · Physical review. B./Physical review. B