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Many-body localization near the critical point

Author(s): Morningstar, Alan; Huse, David A; Imbrie, John Z

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Abstract: We examine the many-body localization (MBL) phase transition in one-dimensional quantum systems with quenched randomness and short-range interactions. Following recent works, we use a strong-randomness renormalization group (RG) approach where the phase transition is due to the so-called avalanche instability of the MBL phase. We show that the critical behavior can be determined analytically within this RG. On a rough qualitative level the RG flow near the critical fixed point is similar to the Kosterlitz-Thouless (KT) flow as previously shown, but there are important differences in the critical behavior. Thus, we show that this MBL transition is in a universality class that is different from KT. The divergence of the correlation length corresponds to critical exponent nu ->infinity, but the divergence is weaker than for the KT transition.
Publication Date: 15-Sep-2020
Electronic Publication Date: 21-Sep-2020
Citation: Morningstar, Alan, Huse, David A, Imbrie, John Z. (2020). Many-body localization near the critical point. PHYSICAL REVIEW B, 102 (10.1103/PhysRevB.102.125134
DOI: doi:10.1103/PhysRevB.102.125134
ISSN: 2469-9950
EISSN: 2469-9969
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW B
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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