Local integrals of motion and the quasiperiodic many-body localization transition
Abstract
We study the many-body localization (MBL) transition for interacting fermions subject to quasiperiodic potentials by constructing the local integrals of motion (LIOMs) in the MBL phase as time-averaged local operators. Here, we study numerically how these time-averaged operators evolve across the MBL transition. We find that the norm of such time-averaged operators drops discontinuously to zero across the transition; as we discuss, this implies that LIOMs abruptly become unstable at some critical localization length of order unity. We analyze the LIOMs using hydrodynamic projections and isolating the part of the operator that is associated with interactions. Equipped with these data we perform a finite-size scaling analysis of the quasiperiodic MBL transition. Our results suggest that the quasiperiodic MBL transition occurs at considerably stronger quasiperiodic modulations and has a larger correlation-length critical exponent than previous studies had found.
- Authors:
-
[1];
- Univ. of Massachusetts, Amherst, MA (United States)
- Pennsylvania State Univ., University Park, PA (United States); College of Staten Island, NY (United States)
- Publication Date:
- Research Org.:
- Univ. of Massachusetts, Amherst, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
- OSTI Identifier:
- 1812005
- Grant/Contract Number:
- SC0019168
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 103; Journal Issue: 22; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Many-body localization; Quantum phase transitions; Quasicrystals
Citation Formats
Singh, Hansveer, Ware, Brayden, Vasseur, Romain, and Gopalakrishnan, Sarang. Local integrals of motion and the quasiperiodic many-body localization transition. United States: N. p., 2021.
Web. doi:10.1103/physrevb.103.l220201.
Singh, Hansveer, Ware, Brayden, Vasseur, Romain, & Gopalakrishnan, Sarang. Local integrals of motion and the quasiperiodic many-body localization transition. United States. https://doi.org/10.1103/physrevb.103.l220201
Singh, Hansveer, Ware, Brayden, Vasseur, Romain, and Gopalakrishnan, Sarang. Thu .
"Local integrals of motion and the quasiperiodic many-body localization transition". United States. https://doi.org/10.1103/physrevb.103.l220201. https://www.osti.gov/servlets/purl/1812005.
@article{osti_1812005,
title = {Local integrals of motion and the quasiperiodic many-body localization transition},
author = {Singh, Hansveer and Ware, Brayden and Vasseur, Romain and Gopalakrishnan, Sarang},
abstractNote = {We study the many-body localization (MBL) transition for interacting fermions subject to quasiperiodic potentials by constructing the local integrals of motion (LIOMs) in the MBL phase as time-averaged local operators. Here, we study numerically how these time-averaged operators evolve across the MBL transition. We find that the norm of such time-averaged operators drops discontinuously to zero across the transition; as we discuss, this implies that LIOMs abruptly become unstable at some critical localization length of order unity. We analyze the LIOMs using hydrodynamic projections and isolating the part of the operator that is associated with interactions. Equipped with these data we perform a finite-size scaling analysis of the quasiperiodic MBL transition. Our results suggest that the quasiperiodic MBL transition occurs at considerably stronger quasiperiodic modulations and has a larger correlation-length critical exponent than previous studies had found.},
doi = {10.1103/physrevb.103.l220201},
journal = {Physical Review. B},
number = 22,
volume = 103,
place = {United States},
year = {Thu Jun 03 00:00:00 EDT 2021},
month = {Thu Jun 03 00:00:00 EDT 2021}
}
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