Schliemann, John and Costa, Joao Vitor and Wenk, Paul and Egues, J. Carlos (2021) Many-body localization: Transitions in spin models. PHYSICAL REVIEW B, 103 (17): 174203. ISSN 2469-9950, 2469-9969
Full text not available from this repository.Abstract
We study the transitions between ergodic and many-body localized phases in spin systems, subject to quenched disorder, including the Heisenberg chain and the central spin model. In both cases systems with common spin lengths 1/2 and 1 are investigated via exact numerical diagonalization and random matrix techniques. Particular attention is paid to the sample-to-sample variance (Delta(s)r)(2) of the averaged consecutive-gap ratio < r > for different disorder realizations. For both types of systems and spin lengths we find a maximum in Delta(s)r as a function of disorder strength, accompanied by an inflection point of < r >, signaling the transition from ergodicity to many-body localization. The critical disorder strength is found to be somewhat smaller than the values reported in the recent literature. Further information about the transitions can be gained from the probability distribution of expectation values within a given disorder realization.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group John Schliemann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Jul 2022 10:08 |
| Last Modified: | 28 Jul 2022 10:08 |
| URI: | https://pred.uni-regensburg.de/id/eprint/46206 |
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