Instability of sliding Luttinger liquid

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.

5 pages, 1 figure

References in corpus (4)

• One-dimensional conduction in Charge-Density Wave nanowires
• Electron Transport in a Multi-Channel One-Dimensional Conductor: Molybdenum Selenide Nanowires
• Duality of Weak and Strong Scatterer in Luttinger liquid Coupled to Massless Bosons
• Local impurity in multichannel Luttinger liquid

Cited by in corpus (4)

• Possible Sliding Regimes in Twisted Bilayer WTe${}_2$
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Sliding Luttinger liquid with alternating interwire couplings
• Strictly one dimensional behavior emerging from dispersive two dimensional system: implications on metallic nanowires on semiconducting substrates