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Theory of the dc Magnetotransport in Laterally Modulated Quantum Hall Systems Near Filling $ν={1/2}$

Natalya A. Zimbovskaya·Godfrey Gumbs·Joseph L. Birman
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Abstract

A quasiclassical theory for dc magnetotransport in a modulated quantum Hall system near filling factor $ν={1/2}$ is presented. A weak one-dimensional electrostatic potential acts on the two-dimensional electron gas. Closed form analytic expressions are obtained for the resistivity $ρ_\perp$ corresponding to a current at right angles to the direction of the modulation lines as well as a smaller component $ρ_{||}$ for a current along the direction of the modulation lines. It is shown that both resistivity components are affected by the presence of the modulation. Numerical results are presented for $ρ_\perp$ and $ρ_{||}$ and show reasonable agreement with the results of recent experiments.

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Natalya A. Zimbovskaya, Godfrey Gumbs, Joseph L. Birman. 2005-05-19. Theory of the dc Magnetotransport in Laterally Modulated Quantum Hall Systems Near Filling $ν={1/2}$. https://arxiv.org/abs/cond-mat/0204290

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