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

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).

arXiv comment6 pages, 4 figures, version as published

References in corpus (19)

• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Interacting electrons in disordered wires: Anderson localization and low-temperature transport
• Metallic behavior and related phenomena in two dimensions
• The Fractional Quantum Hall effect in an array of quantum wires
• From Luttinger liquid to non-Abelian quantum Hall states
• Two dimensional anisotropic non Fermi-liquid phase of coupled Luttinger liquids
• Sliding Luttinger liquid phases
• Sliding Phases in XY-Models, Crystals, and Cationic Lipid-DNA Complexes
• Flow diagram of the metal-insulator transition in two dimensions
• Sliding Phases via Magnetic Fields
• A Crossed Sliding Luttinger Liquid Phase
• Non-Abelian topological spin liquids from arrays of quantum wires or spin chains
• Fractional Topological Insulators: from sliding Luttinger Liquids to Chern-Simons theory
• Duality of Weak and Strong Scatterer in Luttinger liquid Coupled to Massless Bosons
• Duality in multi-channel Luttinger Liquid with local scatterer
• Local impurity in multichannel Luttinger liquid
• Universal Duality in Luttinger Liquid Coupled to Generic Environment
• Conductance of Interacting Quasi-One-Dimensional Electron Gas with a Scatterer
• Delocalization in Coupled Luttinger Liquids with Impurities

Cited by in corpus (4)

• Possible Sliding Regimes in Twisted Bilayer WTe${}_2$
• Stability of a topological insulator: interactions, disorder and parity of Kramers doublets
• Berezinskii-Kosteriltz-Thouless transition in disordered multi-channel Luttinger liquids
• Sliding Luttinger liquid with alternating interwire couplings