Pseudo-Band-Structure of Disordered Lateral Superlattice in Magnetic Field

Abstract

The density of states and the conductivity tensor of a quantum-wire array with disorder in the period, direction, and height of the corrugation are calculated in magnetic fields within a self-consistent Born approximation. A diffuse Bragg scattering causes pseudo-Landau-levels associated with the second band and pseudo-open-orbits in the gap region of a corresponding system without disorder. This fact manifests itself as various characteristic structures in the density of states, the conductivity in the direction parallel and perpendicular to the wire, and the Hall conductivity.