Instability of sliding Luttinger liquid

V. Fleurov, V. Kagalovsky, I.V. Lerner, Igor 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
Early online date26 Mar 2018
Publication statusPublished - 10 May 2018

Bibliographical note

This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Physics: Condensed Matter. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at

Funding: Leverhulme Trust Research Project Grant RPG-2016-044.


  • Luttinger liquid


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