Many-body localization transition in large quantum spin chains: The mobility edge

TL;DR

This paper investigates the transition between localized and thermal phases in large quantum spin chains, providing evidence for a mobility edge based on the dynamics of density correlations and initial state energies.

Contribution

It offers new insights into the existence of a mobility edge in large systems, supported by analysis of density correlation dynamics and initial state energy impacts.

Findings

Evidence for a mobility edge in large quantum spin chains.

Density correlation functions reveal localization-thermalization transition.

Initial state energy influences the system's dynamical behavior.

Abstract

Thermalization of random-field Heisenberg spin chain is probed by time evolution of density correlation functions. Studying the impacts of average energies of initial product states on dynamics of the system, we provide arguments in favor of the existence of a mobility edge in the large system-size limit.