Peak values of the longitudinal conductivity under integer quantum Hall effect conditions for sharp and smooth chaotic potentials

Journal Article · Mon Sep 15 04:00:00 EDT 2008 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776108090161· OSTI ID:21241932

Zegrya, G G; Kolesnikova, E N ^[1]

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1. Russian Academy of Sciences, Ioffe Physicotechnical Institute (Russian Federation)

The problem of the peak values of the longitudinal conductivity under integer quantum Hall effect conditions is studied. The limiting cases of sharp and smooth chaotic potentials are considered. In the case of a sharp chaotic potential, the first longitudinal conductivity peak ({delta}{sub xx}{sup (0)}) obtained by the extrapolation of numerical data to an infinite sample size L{sup {yields}}{infinity} is (0.55{+-}0.03)e{sup 2}/h. In the case of a smooth chaotic potential, the peak values of the longitudinal conductivity are independent of the Landau level number and decrease as the chaotic-potential correlation length {lambda} increases. The results obtained for sharp and smooth chaotic potentials agree with the reported experimental and numerically calculated data.

• OSTI ID: 21241932
• Journal Information: Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 3 Vol. 107; ISSN JTPHES; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHAOS THEORY
CORRELATIONS
EXTRAPOLATION
HALL EFFECT
POTENTIALS