Distinguishing localization from chaos: Challenges in finite-size systems

Abanin DA, Bardarson JH, De Tomasi G, Gopalakrishnan S, Khemani V, Parameswaran SA, Pollmann F, Potter AC, Serbyn M, Vasseur R. 2021. Distinguishing localization from chaos: Challenges in finite-size systems. Annals of Physics. 427(4), 168415.


Journal Article | Published | English

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Author
Abanin, D. A.; Bardarson, J. H.; De Tomasi, G.; Gopalakrishnan, S.; Khemani, V.; Parameswaran, S. A.; Pollmann, F.; Potter, A. C.; Serbyn, MaksymIST Austria ; Vasseur, R.
Department
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 (Šuntajs 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.
Publishing Year
Date Published
2021-04-01
Journal Title
Annals of Physics
Volume
427
Issue
4
Article Number
168415
ISSN
eISSN
IST-REx-ID

Cite this

Abanin DA, Bardarson JH, De Tomasi G, et al. Distinguishing localization from chaos: Challenges in finite-size systems. Annals of Physics. 2021;427(4). doi:10.1016/j.aop.2021.168415
Abanin, D. A., Bardarson, J. H., De Tomasi, G., Gopalakrishnan, S., Khemani, V., Parameswaran, S. A., … Vasseur, R. (2021). Distinguishing localization from chaos: Challenges in finite-size systems. Annals of Physics. Elsevier. https://doi.org/10.1016/j.aop.2021.168415
Abanin, D. A., J. H. Bardarson, G. De Tomasi, S. Gopalakrishnan, V. Khemani, S. A. Parameswaran, F. Pollmann, A. C. Potter, Maksym Serbyn, and R. Vasseur. “Distinguishing Localization from Chaos: Challenges in Finite-Size Systems.” Annals of Physics. Elsevier, 2021. https://doi.org/10.1016/j.aop.2021.168415.
D. A. Abanin et al., “Distinguishing localization from chaos: Challenges in finite-size systems,” Annals of Physics, vol. 427, no. 4. Elsevier, 2021.
Abanin DA, Bardarson JH, De Tomasi G, Gopalakrishnan S, Khemani V, Parameswaran SA, Pollmann F, Potter AC, Serbyn M, Vasseur R. 2021. Distinguishing localization from chaos: Challenges in finite-size systems. Annals of Physics. 427(4), 168415.
Abanin, D. A., et al. “Distinguishing Localization from Chaos: Challenges in Finite-Size Systems.” Annals of Physics, vol. 427, no. 4, 168415, Elsevier, 2021, doi:10.1016/j.aop.2021.168415.
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