Effects of power-law correlated disorders in XXZ spin chain: Many-body localized to thermal phase transition and its critical regime

TL;DR

This paper investigates how power-law-correlated disorders influence the many-body localization transition in a spin chain, revealing universal behaviors and critical regimes through numerical analysis of static and dynamic properties.

Contribution

It introduces a detailed numerical study of MBL transitions controlled by power-law correlations, highlighting their impact on localization and ergodic phases.

Findings

Power-law correlations tune the MBL transition point.

Universal behavior observed in participation ratio distribution.

Entanglement properties reflect the critical regime characteristics.

Abstract

We study a canonical many-body-localized (MBL) system with power-law-correlated disorders: $s=\frac{1}{2}$ spin chain in a random magnetic field. The power-law-correlated disorder can control the critical regime between the MBL and thermal (ergodic) phases by varying its exponent, and it let us investigate the MBL transitions in detail. Static-eigenstate and dynamic properties of MBL are studied by numerical methods for systems with various long-range correlations. By using energy-resolved distribution of the participation ratio (PR) and calculating some physical quantities related to localization length, we show that the MBL transition exhibits certain universal behavior. We also investigate entanglement properties for the static and dynamics system. These studies elucidate the impact of power-law-correlated disorders in the canonical MBL system.