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Sliding Luttinger liquid with alternating interwire couplings.
J Phys Condens Matter 2019; 31(42):425601JP

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 the 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.

Authors+Show Affiliations

Aston University, School of Engineering & Applied Science-Birmingham B4 7ET, United Kingdom.No affiliation info availableNo affiliation info availableNo affiliation info available

Pub Type(s)

Journal Article

Language

eng

PubMed ID

31207581

Citation

Begum, S, et al. "Sliding Luttinger Liquid With Alternating Interwire Couplings." Journal of Physics. Condensed Matter : an Institute of Physics Journal, vol. 31, no. 42, 2019, p. 425601.
Begum S, Fleurov V, Kagalovsky V, et al. Sliding Luttinger liquid with alternating interwire couplings. J Phys Condens Matter. 2019;31(42):425601.
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, 31(42), p. 425601. doi:10.1088/1361-648X/ab2a56.
Begum S, et al. Sliding Luttinger Liquid With Alternating Interwire Couplings. J Phys Condens Matter. 2019 Oct 23;31(42):425601. 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,S, AU - Fleurov,V, AU - Kagalovsky,V, AU - Yurkevich,I V, Y1 - 2019/06/17/ PY - 2019/6/18/pubmed PY - 2019/6/18/medline PY - 2019/6/18/entrez SP - 425601 EP - 425601 JF - Journal of physics. Condensed matter : an Institute of Physics journal JO - J Phys Condens Matter VL - 31 IS - 42 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 the 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 -