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Abstract
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 language | English |
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Article number | 174210 |
Number of pages | 7 |
Journal | Physical Review B |
Volume | 96 |
Early online date | 27 Nov 2017 |
DOIs | |
Publication status | E-pub ahead of print - 27 Nov 2017 |
Bibliographical note
7 pages, 3 figuresKeywords
- cond-mat.str-el
- cond-mat.dis-nn
- cond-mat.mes-hall
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Dive into the research topics of 'Berezinskii-Kosteriltz-Thouless transition in disordered multi-channel Luttinger liquids'. Together they form a unique fingerprint.Projects
- 1 Finished
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Field-Theoretical to Complex Networks
Engineering & Physical Science Research Council
1/02/08 → 31/07/11
Project: Research Councils