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2001

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Localization and quantum chaos


Quasiclassical memory effects: anomalous transport properties of two-dimensional electrons and composite fermions subject to a long-range disorder

 a,  a, b, c,  b, d,  a, b
a Institute for Theoretical Condensed Matter physics, Karlsruhe Institute of Technology, Wolfgang-Gaede-Str., 1 Karlsruhe, D-76131, Germany , Karlsruhe , Germany
b Forschungszentrum Karlsruhe, Institute of Nanotechnology, Karlsruhe, Germany
c B.P. Konstantinov St. Petersburg Institute of Nuclear Physics, Russian Academy of Sciences, Gatchina, Leningrad Region, Rusian Federation
d Ioffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation

We have studied the ac response and magnetoresistance of a two-dimensional electron gas in high-mobility samples in the presence of smooth disorder, with emphasis on the composite-fermion description of a half-filled Landau level. We have found that the low-$\omega$ behavior of the ac conductivity $\sigma(\omega)$ is governed by memory effects associated with return processes that are neglected in Boltzmann transport theory: the return-induced correction to $\mathrm{Re} \sigma$ exhibits a kink $\propto|\omega|$. It is shown that the non-Markovian quasiclassical kinetics leads to a strong magnetoresistance $\Delta\rho_{xx}$. We argue that the quasiclassical memory effects account for the positive $\Delta\rho_{xx}$ observed at small deviations from half-filling. At a larger deviation, the positive magnetoresistance is followed by a sharp falloff of $\rho_{xx}$.

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Fulltext is also available at DOI: 10.1070/1063-7869/44/10S/S04
PACS: 72.15.−v, 72.15.Rn, 05.60.Gg, 05.45.Mt (all)
DOI: 10.1070/1063-7869/44/10S/S04
URL: https://ufn.ru/en/articles/2001/13/d/
Citation: Evers F, Mirlin A D, Polyakov D G, Wölfle P "Quasiclassical memory effects: anomalous transport properties of two-dimensional electrons and composite fermions subject to a long-range disorder" Phys. Usp. 44 27–31 (2001)
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Îðèãèíàë: Evers F, Mirlin A D, Polyakov D G, Wölfle P «Quasiclassical memory effects: anomalous transport properties of two-dimensional electrons and composite fermions subject to a long-range disorder» ÓÔÍ 171 27–31 (2001); DOI: 10.1070/1063-7869/44/10S/S04

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