Theory of the dc Magnetotransport in Laterally Modulated Quantum Hall   Systems Near Filling $\nu={1/2}$
  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. 
Natalya A.Zimbovskaya, Godfrey Gumbs and Joseph L. Birman