Berezinskii - Kosteriltz - Thouless transition in disordered multichannel Luttinger liquids.


We study the phase transition between conducting and insulating states taking place in disordered multichannel Luttinger liquids with interchannel interactions. We derive renormalization-group equations which are perturbative in disorder but nonperturbative in interaction. In the vicinity of the simultaneous phase transition in all channels, these equations become a set of coupled Berezinskii-Kosterlitz-Thouless equations, which we analyze within two models: an array of identical wires and a two-channel model with distinct channels. We show that a competition between disorder and interaction results in a variety of phases, expected to be observable at intermediate temperatures where the interaction and disorder are relevant but weak hybridization and the charge-density-wave interaction may be ignored.

Publication DOI:
Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: © 2017 American Physical Society Funding: Leverhulme Trust via Grant No. RPG-2016-044
Publication ISSN: 1550-235X
Last Modified: 19 Feb 2024 08:17
Date Deposited: 08 Dec 2017 08:55
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Related URLs: https://www.sco ... a6ac997dddcf91a (Scopus URL)
PURE Output Type: Article
Published Date: 2017-11-27
Accepted Date: 2017-11-01
Authors: Jones, Max
Lerner, Igor V.
Yurkevich, Igor V. (ORCID Profile 0000-0003-1447-8913)



Version: Published Version

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