Effects of Temperature and Magnetization on the Mott-Anderson Physics in one-dimensional Disordered Systems

TL;DR

This study explores how temperature and magnetization influence Mott-Anderson localization in disordered one-dimensional systems, revealing the interplay between interactions, disorder, and thermal effects on localization phenomena.

Contribution

It introduces a density-functional theory approach to analyze the effects of temperature and magnetization on localization in disordered chains, highlighting the splitting of localization features in magnetized systems.

Findings

Minimum disorder strength for localization depends on interaction regime.

Magnetization causes splitting of localization features for different spins.

Full Anderson localization persists at higher temperatures than Mott-like localization.

Abstract

We investigate the Mott-Anderson physics in interacting disordered one-dimensional chains through the average single-site entanglement quantified by the linear entropy, which is obtained via density-functional theory calculations. We show that the minimum disorder strength required to the so-called full Anderson localization $-$ characterized by the real-space localization of pairs $-$ is strongly dependent on the interaction regime. The degree of localization is found to be intrinsically related to the interplay between the correlations and the disorder potential. In magnetized systems, the minimum entanglement characteristic of the full Anderson localization is split into two, one for each of the spin species. We show that although all types of localization eventually disappear with increasing temperature, the full Anderson localization persists for higher temperatures than the Mott-like localization.