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Title: Many-Body Localization with Long-Range Interactions

Abstract

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.

Authors:
;
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1404752
Alternate Identifier(s):
OSTI ID: 1498996
Grant/Contract Number:  
[SC0016244]
Resource Type:
Published Article
Journal Name:
Physical Review X
Additional Journal Information:
[Journal Name: Physical Review X Journal Volume: 7 Journal Issue: 4]; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Nandkishore, Rahul M., and Sondhi, S. L. Many-Body Localization with Long-Range Interactions. United States: N. p., 2017. Web. doi:10.1103/PhysRevX.7.041021.
Nandkishore, Rahul M., & Sondhi, S. L. Many-Body Localization with Long-Range Interactions. United States. doi:10.1103/PhysRevX.7.041021.
Nandkishore, Rahul M., and Sondhi, S. L. Wed . "Many-Body Localization with Long-Range Interactions". United States. doi:10.1103/PhysRevX.7.041021.
@article{osti_1404752,
title = {Many-Body Localization with Long-Range Interactions},
author = {Nandkishore, Rahul M. and Sondhi, S. L.},
abstractNote = {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.},
doi = {10.1103/PhysRevX.7.041021},
journal = {Physical Review X},
number = [4],
volume = [7],
place = {United States},
year = {2017},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevX.7.041021

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Cited by: 22 works
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