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arXiv · 1903.02920

Sliding Luttinger liquid with alternating interwire couplings

S. Begum·V. Fleurov·V. Kagalovsky·I. V. Yurkevich
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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 analyze whether nearest-neighbor inter-wire interactions, stabilize 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 hybridization, 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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S. Begum, V. Fleurov, V. Kagalovsky, I. V. Yurkevich. 2019-03-07. Sliding Luttinger liquid with alternating interwire couplings. https://doi.org/10.1088/1361-648x%2Fab2a56

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