Quantum localization corrections from the Bethe-Salpeter equation

TL;DR

This paper uses the Bethe-Salpeter equation and self-consistent localization theory to analyze quantum interference effects on matter wave transport in 3D speckle potentials, revealing shifts in transport properties and mobility edge positions.

Contribution

It introduces an analytical and numerical approach to evaluate quantum localization corrections in 3D speckle potentials, highlighting their impact on transport quantities and the mobility edge.

Findings

Quantum corrections can shift the static current density and density of states.

Weak localization affects the position of the mobility edge.

The model effectively incorporates quantum interference effects in transport calculations.

Abstract

We investigate coherent matter wave transport in isotropic 3D speckle potentials by using the Bethe-Salper equation and the self-consistent theory of localization. This model constitutes an efficient tool to properly evaluate corrections to Boltzmann diffusion by taking into consideration quantum interference terms between the multiple-scattering paths. We calculate analytically and numerically the static current density, the density of states, the dipolar contribution and the reduced diffusion coefficient. Our results reveal that quantum corrections to diffusive transport, known as weak localization may not only lead to shift the above quantities but affect also the position of the mobility edge.