Universität zu Köln

Klocke, K., White, C. D. and Buchhold, M. (2021). Localization crossover and subdiffusive transport in a classical facilitated network model of a disordered interacting quantum spin chain. Phys. Rev. B, 104 (21). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

We consider the random-field Heisenberg model, a paradigmatic model for many-body localization (MBL), and add a Markovian dephasing bath coupled to the Anderson orbitals of the model's noninteracting limit. We map this system to a classical facilitated hopping model that is computationally tractable for large system sizes and investigate its dynamics. The classical model exhibits a robust crossover between an ergodic (thermal) phase and a frozen (localized) phase. The frozen phase is destabilized by thermal subregions (bubbles), which thermalize surrounding sites by providing a fluctuating interaction energy and so enable off-resonance particle transport. Investigating steady-state transport, we observe that the interplay between thermal and frozen bubbles leads to a clear transition between diffusive and subdiffusive regimes. This phenomenology both describes the MBL system coupled to a bath and provides a classical analog for the MBL transition in the corresponding quantum model, in that the classical model displays long local memory times. It also highlights the importance of the details of the bath coupling in studies of MBL systems coupled to thermal environments.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Klocke, K. UNSPECIFIED UNSPECIFIED UNSPECIFIED White, C. D. UNSPECIFIED UNSPECIFIED UNSPECIFIED Buchhold, M. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-589213
DOI:	10.1103/PhysRevB.104.214205
Journal or Publication Title:	Phys. Rev. B
Volume:	104
Number:	21
Date:	2021
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language MANY-BODY LOCALIZATION; STATISTICAL-MECHANICS; THERMALIZATION; CHAOS Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/58921