Instability of the sliding Luttinger liquid
Research output: Contribution to journal › Article › peer-review
Authors
Colleges, School and Institutes
External organisations
- Tel Aviv University
- Shamoon College of Engineering
- University of Electronic Science and Technology of China
- Aston University
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.
Details
Original language | English |
---|---|
Article number | 185602 |
Journal | Journal of Physics Condensed Matter |
Volume | 30 |
Issue number | 18 |
Early online date | 26 Mar 2018 |
Publication status | Published - 16 Apr 2018 |
Keywords
- instability, scaling dimension, sliding Luttinger liquid