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Many-body localization phase transition

Pal, A; Huse, DA; (2015) Many-body localization phase transition. Physical Review B , 82 (17) , Article 174411. 10.1103/physrevb.82.174411. Green open access

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Abstract

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at infinite temperature. For weak random field the eigenstates are thermal, as expected in this nonlocalized, “ergodic” phase. For strong random field the eigenstates are localized with only shortrange entanglement. We roughly locate the localization transition and examine some of its finite-size scaling, finding that this quantum phase transition at nonzero temperature might be showing infinite-randomness scaling with a dynamic critical exponent z→�.

Type: Article
Title: Many-body localization phase transition
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/physrevb.82.174411
Publisher version: http://doi.org/10.1103/physrevb.82.174411
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery.ucl.ac.uk/id/eprint/10084513
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