Localization Transition for Interacting Quantum Particles in Colored-Noise Disorder

TL;DR

This paper studies how interactions and correlated disorder influence localization transitions in one-dimensional quantum systems, revealing a shift in transition points and unique scaling behaviors.

Contribution

It introduces a novel analysis of localization transitions with correlated disorder, deriving phase diagrams and identifying shifts in transition points due to interactions.

Findings

Localization transition point shifts from finite attractive interaction to non-interacting point.

Scaling of localization length with disorder strength deviates from typical localized phase scaling.

Disorder allows for vanishing backwards scattering processes, affecting localization behavior.

Abstract

We investigate the localization transition of interacting particles in a one-dimensional correlated disorder system. The disorder which we investigate allows for vanishing backwards scattering processes. We derive by two renormalization group procedures its phase diagram and predict that the localization transition point is shifted from finite attractive interaction to the non-interacting point. We finally show numerically that the scaling of the localization length with the disorder strength deviates from the usual scaling of a localized phase.