Theory of the dc Magnetotransport in Laterally Modulated Quantum Hall Systems Near Filling $\nu =1/2$

Abstract

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.

8 pages, 1 figure, text added