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

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.