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. https://doi.org/10.1103/PhysRevX.7.041021
Nandkishore, Rahul M., and Sondhi, S. L. Wed .
"Many-Body Localization with Long-Range Interactions". United States. https://doi.org/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}
}
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