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

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

2002-04-12

arxiv.org/abs/cond-mat/0204290v2

Int. J. of Mod. Phys. B, vol. 18, N 10 & 11 (2004) 1581-1594

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 1 figure, text added

Scientific paper

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

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