Theory of weak localization in a superlattice

Abstract

A theory of weak localization in the parallel and vertical conductivity of a semiconductor superlattice is presented. Small-collisional-broadening calculations were performed as quantum corrections to Boltzmann transport. The most interesting result is that the weak-localization corrections of the conductivity depend on the width of the superlattice miniband. In addition, the derivation has a form similar to the anisotropic theory of Bhatt, W\"olfle, and Ramakrishnan for disordered metallic systems.