Abstract

A theory of weak localization for the parallel and transverse conductivity in lateral semiconductor superlattices is presented. Based on our previous studies of planar superlattices, we assume that there exists coherent transport between quantum wires. The theory explicitly accounts for the superlattice periodic structure. Small collisional broadening calculations are performed as quantum corrections to Boltzmann transport. Similar to planar superlattices, weak localization corrections to the conductivity depend on the width of the superlattice miniband. This theory allows for (i) direct determination of the effective interwire electron coupling by measurement of the parallel conductivity, and (ii) computation of the electron dephasing time (such as the electron-electron scattering time) for this quantum structure.

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