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dc.contributor.authorLiao, Yunxiang
Foster, Matthew S.
dc.date.accessioned 2018-09-26T14:52:39Z
dc.date.available 2018-09-26T14:52:39Z
dc.date.issued 2018
dc.identifier.citation Liao, Yunxiang and Foster, Matthew S.. "Dephasing Catastrophe in 4−ε Dimensions: A Possible Instability of the Ergodic (Many-Body-Delocalized) Phase." Physical Review Letters, 120, no. 23 (2018) American Physical Society: https://doi.org/10.1103/PhysRevLett.120.236601.
dc.identifier.urihttps://hdl.handle.net/1911/102704
dc.description.abstract In two dimensions, dephasing by a bath cuts off Anderson localization that would otherwise occur at any energy density for fermions with disorder. For an isolated system with short-range interactions, the system can be its own bath, exhibiting diffusive (non-Markovian) thermal density fluctuations. We recast the dephasing of weak localization due to a diffusive bath as a self-interacting polymer loop. We investigate the critical behavior of the loop in d=4−ε dimensions, and find a nontrivial fixed point corresponding to a temperature T∗∼ε>0 where the dephasing time diverges. Assuming that this fixed point survives to ε=2, we associate it with a possible instability of the ergodic phase. Our approach may open a new line of attack against the problem of the ergodic to many-body-localized phase transition in d>1 spatial dimensions.
dc.language.iso eng
dc.publisher American Physical Society
dc.rights Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.title Dephasing Catastrophe in 4−ε Dimensions: A Possible Instability of the Ergodic (Many-Body-Delocalized) Phase
dc.type Journal article
dc.citation.journalTitle Physical Review Letters
dc.citation.volumeNumber 120
dc.citation.issueNumber 23
dc.identifier.digital PhysRevLett.120.236601
dc.type.dcmi Text
dc.identifier.doihttps://doi.org/10.1103/PhysRevLett.120.236601
dc.type.publication publisher version
dc.citation.articleNumber 236601


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