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arXiv · 1711.01639

Instability of sliding Luttinger liquid

Victor Fleurov·Victor Kagalovsky·Igor V. Lerner·Igor V. Yurkevich
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Abstract

We revise a phase diagram for the sliding Luttinger liquid (SLL) of coupled one-dimensional quantum wires packed in two- or three-dimensional arrays. We analyse whether physically justifiable (reasonable) inter-wire interactions, i.e. either the screened Coulomb or "Coulomb-blockade" type interactions, stabilise the SLL phase. Calculating the scaling dimensions of the most relevant perturbations (the inter-wire single-particle hybridisation, charge-density wave, and superconducting inter-wire couplings), we find that their combination always destroys the SLL phase for the repulsive intra-wire interaction. However, suppressing the inter-wire tunnelling (when the charge-density wave is the only remaining perturbation), one can observe a stability region emerging due to the inter-wire interaction.

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Victor Fleurov, Victor Kagalovsky, Igor V. Lerner, Igor V. Yurkevich. 2017-11-05. Instability of sliding Luttinger liquid. https://doi.org/10.1088/1361-648x%2Faab980

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