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

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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⊥ 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⊥ and ρ|| and show reasonable agreement with the results of recent experiments.