Imperfect many-body localization in exchange-disordered isotropic spin chains

Siegl, Julian and Schliemann, John (2023) Imperfect many-body localization in exchange-disordered isotropic spin chains. NEW JOURNAL OF PHYSICS, 25 (12): 123002. ISSN 1367-2630

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Abstract

We investigate many-body localization in isotropic Heisenberg spin chains with the local exchange parameters being subject to quenched disorder. Such systems incorporate a nonabelian symmetry in their Hamiltonian by invariance under global SU(2)-rotations. Nonabelian symmetries are predicted to hinder the emergence of a many-body localized phase even in the presence of strong disorder. We report on numerical studies using exact diagonalization for chains of common spin length 1/2 and 1. The averaged consecutive-gap ratios display a transition compatible with a crossover from an ergodic phase at small disorder strength to an incompletely localized phase at stronger disorder. Studying the sample-to-sample variance of the averaged consecutive-gap ratio, we distinguish this incompletely localized phase from the fully many-body localized phase by its scaling behavior.

Item Type: Article
Uncontrolled Keywords: STATISTICAL-MECHANICS; QUANTUM; THERMALIZATION; PHYSICS; SYSTEM; CHAOS; localization; many-body localization; Heisenberg chain
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group John Schliemann
Depositing User: Dr. Gernot Deinzer
Date Deposited: 22 Feb 2024 05:55
Last Modified: 22 Feb 2024 05:55
URI: https://pred.uni-regensburg.de/id/eprint/58962

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