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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