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 in the absence of a magnetic field. 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 of repulsive fermions (when the charge-density wave is the only remaining perturbation), one can observe a stability region emerging due to the inter-wire forward scattering interaction.
Original language | English |
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Article number | 185602 |
Journal | Journal of Physics Condensed Matter |
Volume | 30 |
Issue number | 18 |
Early online date | 26 Mar 2018 |
DOIs | |
Publication status | Published - 16 Apr 2018 |
Keywords
- instability
- scaling dimension
- sliding Luttinger liquid
ASJC Scopus subject areas
- Materials Science(all)
- Condensed Matter Physics