Instability of the sliding Luttinger liquid

V. Fleurov, V. Kagalovsky, I. V. Lerner, I. V. Yurkevich

Research output: Contribution to journalArticlepeer-review


We revise a phase diagram for the sliding Luttinger liquid (SLL) of coupled one-dimensional quantum wires packed in two- or three-dimensional arrays in the absence of a magnetic field. We analyse whether physically justifiable (reasonable) inter-wire interactions, i.e. either the screened Coulomb or 'Coulomb-blockade' type interactions, stabilise the SLL phase. Calculating the scaling dimensions of the most relevant perturbations (the inter-wire single-particle hybridisation, charge-density wave, and superconducting inter-wire couplings), we find that their combination always destroys the SLL phase for the repulsive intra-wire interaction. However, suppressing the inter-wire tunnelling of repulsive fermions (when the charge-density wave is the only remaining perturbation), one can observe a stability region emerging due to the inter-wire forward scattering interaction.

Original languageEnglish
Article number185602
JournalJournal of Physics Condensed Matter
Issue number18
StatePublished - 16 Apr 2018


  • instability
  • scaling dimension
  • sliding Luttinger liquid


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