Instability of the sliding Luttinger liquid

Research output: Contribution to journalArticlepeer-review


  • V. Fleurov
  • Victor Kagalovsky
  • Igor Lerner
  • Igor V. Yurkevich

Colleges, School and Institutes

External organisations

  • Tel Aviv University
  • Shamoon College of Engineering
  • University of Electronic Science and Technology of China
  • Aston University


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
Early online date26 Mar 2018
Publication statusPublished - 16 Apr 2018


  • instability, scaling dimension, sliding Luttinger liquid