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Many-body localization and level repulsion
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 12018 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 97, no 3, article id 035163Article in journal (Refereed) Published
Abstract [en]

Insertion of disorder in thermal interacting quantum systems decreases the amount of level repulsion and can lead to many-body localization. In this paper we use the many-body picture to perturbatively study the effect of level repulsion in the localized phase. We find that most eigenstates can be described accurately in an approximate way, including many with rare resonances. A classification of the rare resonances shows that most types are exponentially rare and requires exponential fine tuning in an approximate description. The classification confirms that no rare thermal eigenstates exist in a fully localized phase and we argue that all types of resonances need to become common if a continuous transition into a thermal phase should occur.

Place, publisher, year, edition, pages
2018. Vol. 97, no 3, article id 035163
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Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-153806DOI: 10.1103/PhysRevB.97.035163ISI: 000423656500002OAI: oai:DiVA.org:su-153806DiVA, id: diva2:1189953
Available from: 2018-03-13 Created: 2018-03-13 Last updated: 2018-03-13Bibliographically approved

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