# Sliding Luttinger liquid with alternating interwire couplings

## TL;DR

This paper investigates the stability of the sliding Luttinger liquid phase in a 2D array of coupled quantum wires with alternating inter-wire couplings, revealing conditions under which the phase remains stable.

## Contribution

It introduces an SSH-like model with alternating couplings to analyze the stability of the SLL phase in coupled quantum wires.

## Key findings

- Finite stability region for SLL due to inter-wire forward scattering
- Stability persists with significant asymmetry in alternating couplings
- Excludes inter-wire single-particle hybridization in analysis

## Abstract

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 analyze whether nearest-neighbor inter-wire interactions, stabilize 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 hybridization, 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.