Integer quantum Hall effect and related phenomena

V.T. Dolgopolov
Osipyan Institute of Solid State Physics, Russian Academy of Sciences, Akademika Osip'yana str. 2, Chernogolovka, Moscow Region, 142432, Russian Federation

Experimental and theoretical research into the integer Hall effects is reviewed, together with other transport phenomena in a two-dimensional electron gas in a quantizing magnetic field. Particular emphasis is placed on primary experimental data, on the comparison of experimental and theoretical results, and on the analysis of theoretical predictions from the point of view of their experimental verification. Among experiments of recent years, those that raised questions to be resolved are highlighted. Possible directions for further research are suggested.

PACS: 71.30.+h, 73.40.Qv, 73.43.−f (all)
DOI: 10.3367/UFNe.0184.201402a.0113
URL: https://ufn.ru/en/articles/2014/2/a/
Web of Science

000336162000001
Scopus

2-s2.0-84900828153
ADS NASA

2014PhyU...57..105D
Citation: Dolgopolov V T "Integer quantum Hall effect and related phenomena" Phys. Usp. 57 105–127 (2014)

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Received: 9th, September 2013, revised: 11th, October 2013, accepted: 15th, October 2013

Оригинал: Долгополов В Т «Целочисленный квантовый эффект Холла и сопряжённые с ним явления» УФН 184 113–136 (2014); DOI: 10.3367/UFNr.0184.201402a.0113

References (116) Cited by (22) Similar articles (20) ↓

A.A. Shashkin “Metal-insulator transitions and the effects of electron-electron interactions in two-dimensional electron systems” Phys. Usp. 48 129–149 (2005)
E.V. Devyatov “Edge states in the regimes of integer and fractional quantum Hall effects” Phys. Usp. 50 197–218 (2007)
V.E. Bisti, A.B. Van’kov et al “Magnetoexcitons in two-dimensional electronic systems” Phys. Usp. 58 315–329 (2015)
S.I. Vedeneev “Quantum oscillations in three-dimensional topological insulators” Phys. Usp. 60 385–401 (2017)
G.B. Lesovik, I.A. Sadovskyy “Scattering matrix approach to the description of quantum electron transport” Phys. Usp. 54 1007–1059 (2011)
I.V. Kukushkin, S.V. Meshkov, V.B. Timofeev “Two-dimensional electron density of states in a transverse magnetic field” Sov. Phys. Usp. 31 511–534 (1988)
V.M. Pudalov “Measurements of the magnetic properties of conduction electrons” Phys. Usp. 64 3–27 (2021)
V.T. Dolgopolov “Two-dimensional system of strongly interacting electrons in silicon (100) structures” Phys. Usp. 62 633–648 (2019)
I.V. Kukushkin, V.B. Timofeev “Magneto-optics of two-dimensional electron systems in the ultraquantum limit: incompressible quantum liquids and the Wigner crystal” Phys. Usp. 36 (7) 549–571 (1993)
V.F. Gantmakher, V.T. Dolgopolov “Localized-delocalized electron quantum phase transitions” Phys. Usp. 51 3–22 (2008)
Z.D. Kvon, D.A. Kozlov et al “Topological insulators based on HgTe” Phys. Usp. 63 629–647 (2020)
P.V. Ratnikov, A.P. Silin “Two-dimensional graphene electronics: current status and prospects” Phys. Usp. 61 1139–1174 (2018)
A.V. Eletskii, I.M. Iskandarova et al “Graphene: fabrication methods and thermophysical properties” Phys. Usp. 54 227–258 (2011)
L.V. Kulik, A.V. Gorbunov et al “Spin excitations in two-dimensional electron gas, their relaxation, photoexcitation and detection methods, and the role of Coulomb correlations” Phys. Usp. 62 865–891 (2019)
M.Yu. Kagan, V.A. Mitskan, M.M. Korovushkin “Anomalous superconductivity and superfluidity in repulsive fermion systems” Phys. Usp. 58 733–761 (2015)
P.B. Sorokin, L.A. Chernozatonskii “Graphene-based semiconductor nanostructures” Phys. Usp. 56 105–122 (2013)
M.V. Durnev, M.M. Glazov “Excitons and trions in two-dimensional semiconductors based on transition metal dichalcogenides” Phys. Usp. 61 825–845 (2018)
V.M. Murav’ev, I.V. Kukushkin “Collective plasma excitations in two-dimensional electron systems” Phys. Usp. 63 975–993 (2020)
G.N. Makarov “Laser IR fragmentation of molecular clusters: the role of channels for energy input and relaxation, influence of surroundings, dynamics of fragmentation” Phys. Usp. 60 227–258 (2017)
M.Yu. Kagan, A.V. Turlapov “BCS—BEC crossover, collective excitations, and hydrodynamics of superfluid quantum fluids and gases” Phys. Usp. 62 215–248 (2019)

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