Anderson localization versus charge-density-wave formation in disordered electron systems

TL;DR

This paper investigates how disorder influences charge-density-wave formation in disordered electron systems, revealing that strong disorder can destroy charge order and analyzing localization properties using advanced numerical techniques.

Contribution

It introduces a detailed analysis of the interplay between disorder and charge-density-wave correlations in a one-dimensional model using the density-matrix renormalization group method.

Findings

Disorder can destroy charge-density-wave order in the system.

Localization length scales with disorder strength.

Charge-structure factor analysis reveals suppression of charge order under strong disorder.

Abstract

We study the interplay of disorder and interaction effects including bosonic degrees of freedom in the framework of a generic one-dimensional transport model, the Anderson-Edwards model. Using the density-matrix renormalization group technique, we extract the localization length and the renormalization of the Tomonaga Luttinger liquid parameter from the charge-structure factor by a elaborate sample-average finite-size scaling procedure. The properties of the Anderson localized state can be described in terms of scaling relations of the metallic phase without disorder. We analyze how disorder competes with the charge-density-wave correlations triggered by the bosons and give evidence that strong disorder will destroy the charge-ordered state.