# Metal-insulator transition in a sliding Luttinger liquid with line defects

## TL;DR

This paper studies how line defects and impurities affect the metal-insulator transition in a system of coupled Luttinger liquid wires, revealing that extended defects can induce a disorder-driven transition.

## Contribution

It introduces a phase diagram for low-temperature transport in Luttinger liquids with line defects, highlighting the role of inter-wire interactions and disorder in metal-insulator transitions.

## Key findings

- Finite-range inter-wire interactions stabilize metallic states.
- Extended line defects can induce a disorder-driven metal-insulator transition.
- System exhibits a mixed state with variable conduction depending on defect strength.

## Abstract

We investigate the effect of both strong and weak potential scattering caused by local impurities and extended (line) defects in the array of Luttinger liquid wires. We find that in both cases a finite range inter-wire interaction stabilises metallic state. Based on calculation of the scaling dimensions of one-particle scattering operators, we construct the phase diagram for low-temperature transport along the array. We find that unlike local impurity case where only conducting and insulating states are realised (metal-insulator transition driven by interactions), the extended line defects may bring the system into a mixed state where conducting or insulating behavior can be observed depending on bare strength of the scatterer (metal-insulator transition driven by disorder).