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 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.
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.
Pub Type(s)Journal Article