Sonner, M, Serbyn, M, Papić, Z et al. (1 more author) (2021) Thouless energy across the many-body localization transition in Floquet systems. Physical Review B, 104 (8). L081112. ISSN 1098-0121
Abstract
The notion of Thouless energy plays a central role in the theory of Anderson localization. We investigate the scaling of Thouless energy across the many-body localization (MBL) transition in a Floquet model. We use a combination of methods that are reliable on the ergodic side of the transition (e.g., spectral form factor) and methods that work on the MBL side (e.g. typical matrix elements of local operators) to obtain a complete picture of the Thouless energy behavior across the transition. On the ergodic side, the Thouless energy tends to a value independent of system size, while at the transition it becomes comparable to the level spacing. Different probes yield consistent estimates of the Thouless energy in their overlapping regime of applicability, giving the location of the transition point nearly free of finite-size drift. This work establishes a connection between different definitions of Thouless energy in a many-body setting, and yields new insights into the MBL transition in Floquet systems.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | ©2021 American Physical Society. This is an author produced version of an article accepted for publication in Physical Review B. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/R020612/1 Leverhulme Trust RL-2019-015 |
Depositing User: | Symplectic Publications |
Date Deposited: | 03 Aug 2021 15:20 |
Last Modified: | 17 Mar 2023 02:18 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevB.104.L081112 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:176568 |