Weiner, Felix and Evers, Ferdinand and Bera, Soumya (2019) Slow dynamics and strong finite-size effects in many-body localization with random and quasiperiodic potentials. PHYSICAL REVIEW B, 100 (10): 104204. ISSN 2469-9950, 2469-9969
Full text not available from this repository.Abstract
We investigate charge relaxation in disordered and quasiperiodic quantum wires of spinless fermions (t -V model) at different inhomogeneity strength W in the localized and nearly localized regime. Our observable is the time-dependent density correlation function, Phi(x, t), at infinite temperature. We find that disordered and quasiperiodic models behave qualitatively similar: Although even at longest observation times the width Delta x(t) of Phi(x, t) does not exceed significantly the noninteracting localization length, xi(0), strong finite-size effects are encountered. Our findings appear difficult to reconcile with the rare-region physics (Griffiths effects) that often is invoked as an explanation for the slow dynamics observed by us and earlier computational studies. Motivated by our numerical data we discuss a scenario in which the MBL-phase splits into two subphases: in MBLA Delta x(t) diverges slower than any power, while it converges towards a finite value in MBLB. Within the scenario the transition between MBLA and the ergodic phase is characterized by a length scale, xi, that exhibits an essential singularity In xi similar to 1/vertical bar W - W-c1 vertical bar. Relations to earlier numerics and proposals of two-phase scenarios will be discussed.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group Ferdinand Evers |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 27 Mar 2020 10:10 |
| Last Modified: | 27 Mar 2020 10:10 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26223 |
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