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Slow diffusion and Thouless localization criterion in modulated spin chains [Elektronski vir]Prelovšek, Peter ; Herbrych, Jacek ; Mierzejewski, MarcinIn recent years the ergodicity of disordered spin chains has been investigated via extensive numerical studies of the level statistics or the transport properties. However, a clear relationship ... between these results has yet to be established. We present the relation between the diffusion constant and the energy-level structure, which leads to the Thouless localization criterion. Together with the exponential-like dependence of the diffusion constant on the strength of quasiperiodic or random fields, the Thouless criterion explains the nearly linear drift with the system size of the crossover/transition to the nonergodic regime. Moreover, we show that the Heisenberg spin chain in the presence of the quasiperiodic fields can be well approached via a sequence of simple periodic systems, where diffusion remains finite even at large fields.Source: Physical review. B. [Elektronski vir]. - ISSN 2469-9969 (Vol. 108, iss. 3, [article no.] 035106, 15 Jul. 2023, str. 035106-1-035106-9)Type of material - e-article ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 190181123
Author
Prelovšek, Peter |
Herbrych, Jacek |
Mierzejewski, Marcin
Topics
spin chains |
Heisenberg model |
many-bond localization
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Prelovšek, Peter | 01105 |
Herbrych, Jacek | ![]() |
Mierzejewski, Marcin | 32750 |
Source: Personal bibliographies
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