Extracting many-body localization lengths with an imaginary vector potential
Abstract
One challenge of studying the many-body localization transition is defining the length scale that diverges upon the transition to the ergodic phase. In this manuscript we explore the localization properties of a ring with onsite disorder subject to an imaginary magnetic flux. We connect the imaginary flux which delocalizes single-particle orbitals of an Anderson-localized ring with the localization length of an open chain. We thus identify the delocalizing imaginary flux per site with an inverse localization length characterizing the transport properties of the open chain. We put this intuition to use by exploring the phase diagram of a disordered interacting chain, and we find that the inverse imaginary flux per bond provides an accessible description of the transition and its diverging localization length.
Additional Information
© 2021 American Physical Society. Received 3 June 2020; revised 1 December 2020; accepted 2 December 2020; published 3 February 2021. We thank Bernd Rosenow, Sarang Gopalakrishnan, and Vadim Oganesyan for many helpful conversations; we also thank Naomichi Hatano and an anonymous reviewer for commentary that prompted us to sharpen our understanding and arguments. G.R. is grateful for funding from NSF Grant No. 1839271 as well as to the Simons Foundation, the Packard Foundation, and the IQIM, an NSF frontier center partially funded by the Gordon and Betty Moore Foundation. The authors thank FAU Erlangen-Nürnberg's Prof. Dr. Kai P. Schmidt for setting up and accompanying the team of researchers involved in this work. We gratefully acknowledge funding received by the German Academic Exchange Service. This work is partially supported by the US Department of Energy (DOE), Office of Science, Office of Advanced Scientific Computing Research (ASCR) Quantum Computing Application Teams program, under Fieldwork Proposal No. ERKJ347.Attached Files
Published - PhysRevB.103.064201.pdf
Submitted - 2003.09430.pdf
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Additional details
- Eprint ID
- 103292
- Resolver ID
- CaltechAUTHORS:20200518-153736634
- NSF
- DMR-1839271
- Simons Foundation
- David and Lucile Packard Foundation
- Institute for Quantum Information and Matter (IQIM)
- Gordon and Betty Moore Foundation
- Deutscher Akademischer Austauschdienst (DAAD)
- Department of Energy (DOE)
- ERKJ347
- Created
-
2020-05-18Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter