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Sliding Luttinger liquid with alternating interwire couplings.

Abstract

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 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.

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  • Authors+Show Affiliations

    ,

    Mathematics, Aston University, Birmingham, Birmingham, UNITED KINGDOM OF GREAT BRITAIN AND NORTHERN IRELAND.

    ,

    Faculty of Exact sciences, School of Physcs and Astronomy, Tel Aviv University, Tel Aviv, 69978, ISRAEL.

    ,

    Electrical Engineering, Sami Shamoon College of Engineering, Bialik/Basel Sts., Beer-Sheva, 84100, ISRAEL.

    Mathematics, Aston University, Aston Triangle, Birmingham, B4 7ET, UNITED KINGDOM OF GREAT BRITAIN AND NORTHERN IRELAND.

    Source

    Pub Type(s)

    Journal Article

    Language

    eng

    PubMed ID

    31207581

    Citation

    Begum, Sulthana, et al. "Sliding Luttinger Liquid With Alternating Interwire Couplings." Journal of Physics. Condensed Matter : an Institute of Physics Journal, 2019.
    Begum S, Fleurov V, Kagalovsky V, et al. Sliding Luttinger liquid with alternating interwire couplings. J Phys Condens Matter. 2019.
    Begum, S., Fleurov, V., Kagalovsky, V., & Yurkevich, I. V. (2019). Sliding Luttinger liquid with alternating interwire couplings. Journal of Physics. Condensed Matter : an Institute of Physics Journal, doi:10.1088/1361-648X/ab2a56.
    Begum S, et al. Sliding Luttinger Liquid With Alternating Interwire Couplings. J Phys Condens Matter. 2019 Jun 17; PubMed PMID: 31207581.
    * Article titles in AMA citation format should be in sentence-case
    TY - JOUR T1 - Sliding Luttinger liquid with alternating interwire couplings. AU - Begum,Sulthana, AU - Fleurov,Victor, AU - Kagalovsky,Victor, AU - Yurkevich,Igor Valery, Y1 - 2019/06/17/ PY - 2019/6/18/entrez PY - 2019/6/18/pubmed PY - 2019/6/18/medline KW - scaling dimension KW - sliding Luttinger liquid KW - stability region JF - Journal of physics. Condensed matter : an Institute of Physics journal JO - J Phys Condens Matter N2 - 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 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. SN - 1361-648X UR - https://www.unboundmedicine.com/medline/citation/31207581/Sliding_Luttinger_liquid_with_alternating_interwire_couplings L2 - https://doi.org/10.1088/1361-648X/ab2a56 DB - PRIME DP - Unbound Medicine ER -