Localization crossover and subdiffusive transport in a classical facilitated network model of a disordered interacting quantum spin chain

Klocke, Kai; White, Christopher D.; Buchhold, M.

doi:10.1103/physrevb.104.214205

Title: Localization crossover and subdiffusive transport in a classical facilitated network model of a disordered interacting quantum spin chain

Journal Article · Fri Dec 10 00:00:00 EST 2021 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.104.214205· OSTI ID:1982767

^[1];

^[2]; Buchhold, M. ^[3]

Univ. of California, Berkeley, CA (United States)
Univ. of Maryland, College Park, MD (United States); National Inst. of Standards and Technology (NIST), College Park, MD (United States)
Univ. zu Koln (Germany)

Here, 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.

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Research Organization:: US Department of Energy (USDOE), Washington, DC (United States). Office of Science, Advanced Scientific Computing Research (ASCR)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

OSTI ID:: 1982767

Journal Information:: Physical Review. B, Vol. 104, Issue 21; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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