@article{6b194298f8784ad28e97a4b359dffabc,
title = "Distinguishing localization from chaos: Challenges in finite-size systems",
abstract = "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 ({\v S}untajs et al., 2020) of the behaviour of the Thouless energy and level repulsion in disordered spin chains, and its implications for the question of whether MBL is a true phase of matter.",
keywords = "Disordered systems, Localization, Many-body physics, Quantum chaos, Strongly correlated electrons, Thouless energy",
author = "Abanin, {D. A.} and Bardarson, {J. H.} and {De Tomasi}, G. and S. Gopalakrishnan and V. Khemani and Parameswaran, {S. A.} and F. Pollmann and Potter, {A. C.} and M. Serbyn and R. Vasseur",
note = "Funding Information: We thank E. Altman, D. Huse, I.M. Khaymovich, R. Nandkishore, S. Roy, A. Scardicchio, and S. Warzel for illuminating discussions. We acknowledge support from EPSRC, United Kingdom Grant EP/S020527/1 , “Coherent Many-Body Quantum States of Matter” (S.A.P.), the US Department of Energy, Office of Science, Basic Energy Sciences , under Early Career Award No. DE-SC0019168 (R.V.), the Alfred P. Sloan Foundation, USA through a Sloan Research Fellowship (R.V.), US NSF Grant NSF DMR-1653007 (A.C.P.), and the European Research Council under the European Union Horizon 2020 Research and Innovation Programme via Starting Grant No. 679722 (J.H.B.) and Starting Grant No. 850899 (M.S.). Statement of compliance with EPSRC policy framework on research data: This publication is theoretical work that does not require supporting research data. Publisher Copyright: {\textcopyright} 2021",
year = "2021",
month = apr,
doi = "10.1016/j.aop.2021.168415",
language = "English (US)",
volume = "427",
journal = "Annals of Physics",
issn = "0003-4916",
publisher = "Academic Press Inc.",
}