Matter Wave Transport and Anderson Localization in Anisotropic 3D Disorder

TL;DR

This paper investigates how anisotropic 3D disorder affects quantum transport, revealing that structured correlations can invert transport anisotropy and significantly influence the mobility edge, with implications for experimental observations.

Contribution

It introduces the impact of non-rotation invariant correlations on anisotropic 3D disorder transport and extends beyond self-consistent localization theories by including energy state shifts.

Findings

Structured correlations invert transport anisotropy.

Disorder-induced energy shifts strongly affect the mobility edge.

Implications for recent experimental results.

Abstract

We study quantum transport in anisotropic 3D disorder and show that non rotation invariant correlations can induce rich diffusion and localization properties. For instance, structured finite-range correlations can lead to the inversion of the transport anisotropy. Moreover, working beyond the self-consistent theory of localization, we include the disorder-induced shift of the energy states and show that it strongly affects the mobility edge. Implications to recent experiments are discussed.