Many-Body Localization with Long-Range Interactions

Nandkishore, Rahul M.; Sondhi, S. L.

doi:10.1103/physrevx.7.041021

Title: Many-Body Localization with Long-Range Interactions

Journal Article · 25 October 2017 · Physical Review. X

DOI: https://doi.org/10.1103/physrevx.7.041021 · OSTI ID:1404752

Nandkishore, Rahul M. ^[1]; Sondhi, S. L. ^[2]

Univ. of Colorado, Boulder, CO (United States)
Princeton Univ., Princeton, NJ (United States)

Many-body localization (MBL) has emerged as a powerful paradigm for understanding nonequilibrium quantum dynamics. Folklore based on perturbative arguments holds that MBL arises only in systems with short-range interactions. Here, we advance nonperturbative arguments indicating that MBL can arise in systems with long-range (Coulomb) interactions, through a mechanism we dub “order enabled localization.” In particular, we show using bosonization that MBL can arise in one-dimensional systems with ~r interactions, a problem that exhibits charge confinement. We also argue that (through the Anderson-Higgs mechanism) MBL can arise in two-dimensional systems with log r interactions, and speculate that our arguments may even extend to three-dimensional systems with 1/r interactions. Here, our arguments are asymptotic (i.e., valid up to rare region corrections), yet they open the door to investigation of MBL physics in a wide array of long-range interacting systems where such physics was previously believed not to arise.

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0016244

OSTI ID:: 1404752

Alternate ID(s):: OSTI ID: 1498996

Journal Information:: Physical Review. X, Vol. 7, Issue 4; ISSN 2160-3308

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 80 works

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Many-body localization in spin chains with long-range transverse interactions: Scaling of critical disorder with system size Maksymov, Andrii O.; Burin, Alexander L. Physical Review B, Vol. 101, Issue 2 https://doi.org/10.1103/physrevb.101.024201	journal	January 2020
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Many body localization in the presence of a central qudit Ng, Nathan; Kolodrubetz, Michael arXiv https://doi.org/10.48550/arxiv.1809.02606	text	January 2018
Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions Roy, Sthitadhi; Logan, David E. arXiv https://doi.org/10.48550/arxiv.1903.04851	text	January 2019
Glassy Dynamics from Quark Confinement: Atomic Quantum Simulation of Gauge-Higgs Model on Lattice Park, Jonghoon; Kuno, Yoshihito; Ichinose, Ikuo arXiv https://doi.org/10.48550/arxiv.1903.07297	text	January 2019
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