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Journal Article

Sliding Luttinger liquid with alternating interwire couplings


Kagalovsky,  Victor
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Begum, S., Fleurov, V., Kagalovsky, V., & Yurkevich V, I. (2019). Sliding Luttinger liquid with alternating interwire couplings. Journal of Physics: Condensed Matter, 31(42): 425601. doi:10.1088/1361-648X/ab2a56.

Cite as: https://hdl.handle.net/21.11116/0000-0004-C597-3
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.