Berezinskii-Kosteriltz-Thouless transition in disordered multi-channel Luttinger liquids

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

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We study the phase transition between conducting and insulating states taking place in disordered multi-channel Luttinger liquids with inter-channel interactions. We derive renormalisation 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
Early online date27 Nov 2017
Publication statusE-pub ahead of print - 27 Nov 2017

Bibliographical note

7 pages, 3 figures


  • cond-mat.str-el
  • cond-mat.dis-nn
  • cond-mat.mes-hall


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