The magnetoresistivities as well as the associated conductivities are calculated for a lateral surface superlattice. Our studies show that with strong potential modulation there is a giant peak in the Hall conductivity and many peaks in its resistivity in the quantum regime. For strong modulation, the suppression of the transverse conductivity along with the oscillations in its resistivity are also found. Interestingly, a giant low-field peak in the transverse resistivity is predicted as a consequence of the anisotropic correlation in the system. Many peaks in the longitudinal conductivity are observed, which are accompanied by a threshold in its resistivity. The effect of impurity scattering is included in a self-consistent Born approximation.

• Received 15 December 1994

DOI:https://doi.org/10.1103/PhysRevB.51.5558