Sliding Luttinger liquid with alternating interwire couplings


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.

Publication DOI:
Divisions: College of Engineering & Physical Sciences > School of Informatics and Digital Engineering > Mathematics
College of Engineering & Physical Sciences
Additional Information: ©2019 IOP Publishing Ltd. After the Embargo Period, the full text of the Accepted Manuscript may be made available on the non-commercial repository for anyone with an internet connection to read and download. After the Embargo Period a CC BY-NC-ND 3.0 licence applies to the Accepted Manuscript, in which case it may then only be posted under that CC BY-NC-ND licence provided that all the terms of the licence are adhered to, and any copyright notice and any cover sheet applied by IOP is not deleted or modified.
Uncontrolled Keywords: Materials Science(all),Condensed Matter Physics
Publication ISSN: 1361-648X
Full Text Link: https://arxiv.o ... /abs/1903.02920
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://iopscie ... 361-648X/ab2a56 (Publisher URL)
PURE Output Type: Article
Published Date: 2019-07-23
Accepted Date: 2019-06-17
Authors: Begum, S.
Fleurov, V.
Kagalovsky, V.
Yurkevich, I. V. (ORCID Profile 0000-0003-1447-8913)

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