Journal
ANNALS OF PHYSICS
Volume 427, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2021.168415
Keywords
Localization; Many-body physics; Thouless energy; Quantum chaos; Disordered systems; Strongly correlated electrons
Categories
Funding
- EPSRC, United Kingdom [EP/S020527/1]
- US Department of Energy, Office of Science, Basic Energy Sciences, under Early Career Award [DE-SC0019168]
- Alfred P. Sloan Foundation, USA through a Sloan Research Fellowship
- US NSF [NSF DMR-1653007]
- European Research Council under the European Union [679722, 850899]
- EPSRC [EP/S020527/1] Funding Source: UKRI
- European Research Council (ERC) [850899] Funding Source: European Research Council (ERC)
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Through analyzing the measures in the study of many-body localization, it is found that their utility in probing the transition and the localized phase can be severely impacted due to strong finite-size effects.
We re-examine attempts to study the many-body localization transition using measures that are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using simple scaling arguments and an analysis of various models for which rigorous results are available, we find that these measures can be particularly adversely affected by the strong finite-size effects observed in nearly all numerical studies of many-body localization. This severely impacts their utility in probing the transition and the localized phase. In light of this analysis, we discuss a recent study (?untajs et al., 2020) of the behaviour of the Thouless energy and level repulsion in disordered spin
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