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

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.

arXiv comment25 pages, 15 figures

References in corpus (5)

• Quantum chaos challenges many-body localization
• Absence of true localization in many-body localized phases
• Many-body critical phase: extended and nonthermal
• Universal algebraic growth of entanglement entropy in many-body localized systems with power-law interactions
• Many-body dynamics in long-range hopping model in the presence of correlated and uncorrelated disorder

Cited by in corpus (1)

• Multifractality and Fock-space localization in many-body localized states: one-particle density matrix perspective