Local integrals of motion and the quasiperiodic many-body localization transition

Singh, Hansveer; Ware, Brayden; Vasseur, Romain; Gopalakrishnan, Sarang

doi:10.1103/physrevb.103.l220201

Local integrals of motion and the quasiperiodic many-body localization transition

Journal Article · Thu Jun 03 00:00:00 EDT 2021 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.103.l220201· OSTI ID:1812005

^[1]; Ware, Brayden ^[2]; Vasseur, Romain ^[2]; Gopalakrishnan, Sarang ^[3]

Univ. of Massachusetts, Amherst, MA (United States); UMass Amherst
Univ. of Massachusetts, Amherst, MA (United States)
Pennsylvania State Univ., University Park, PA (United States); College of Staten Island, NY (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Massachusetts, Amherst, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: SC0019168

OSTI ID:: 1812005

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 22 Vol. 103; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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