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

Max Jones, Igor V. Lerner, Igor V. Yurkevich

    Research output: Contribution to journalArticlepeer-review


    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.
    Original languageEnglish
    Article number174210
    Number of pages7
    JournalPhysical Review B
    Publication statusPublished - 27 Nov 2017

    Bibliographical note

    © 2017 American Physical Society

    Funding: Leverhulme Trust via Grant No. RPG-2016-044


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