TY - JOUR
T1 - Sliding Luttinger liquid with alternating interwire couplings
AU - Begum, S.
AU - Fleurov, V.
AU - Kagalovsky, V.
AU - Yurkevich, I. V.
N1 - ©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.
PY - 2019/7/23
Y1 - 2019/7/23
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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85071710831&partnerID=8YFLogxK
UR - https://iopscience.iop.org/article/10.1088/1361-648X/ab2a56
U2 - 10.1088/1361-648X/ab2a56
DO - 10.1088/1361-648X/ab2a56
M3 - Article
C2 - 31207581
AN - SCOPUS:85071710831
SN - 0953-8984
VL - 31
JO - Journal of Physics: Condensed Matter
JF - Journal of Physics: Condensed Matter
IS - 42
M1 - 425601
ER -