Sliding Luttinger liquid with alternating interwire couplings

S. Begum, V. Fleurov, V. Kagalovsky, I. V. Yurkevich

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We study a phase diagram for the sliding Luttinger liquid (SLL) of coupled one-dimensional quantum wires packed in a two-dimensional array in the absence of a magnetic field. We analyse whether the nearest-neighbour inter-wire interactions, stabilise the SLL phase. We construct an analogue of a Su-Schriefer-Heeger (SSH) model (allowing alternating couplings between wires). Calculating the scaling dimensions of the two most relevant perturbations, charge-density wave, and superconducting inter-wire couplings, but excluding the inter-wire single-particle hybridisation, we find a finite stability region for the SLL. It emerges due to the inter-wire forward scattering interaction, and remains stable up to a significant asymmetry between alternating couplings.

Original languageEnglish
Article number425601
JournalJournal of Physics Condensed Matter
Issue number42
StatePublished - 23 Jul 2019


  • scaling dimension
  • sliding Luttinger liquid
  • stability region


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