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

Alexander Chudnovskiy, Victor Kagalovsky, Igor V. Yurkevich

Research output: Contribution to journalArticle

Abstract

We investigate the effect of both strong and weak potential scattering caused by local impurities and extended (line) defects in an array of Luttinger liquid wires. We find that in both cases a finite range interwire interaction stabilizes the metallic state. Based on calculations of the scaling dimensions of one-particle scattering operators, we construct a phase diagram for low-temperature transport along the array.We find that unlike the local impurity case where only conducting and insulating states are realized (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).
Original languageEnglish
Pages (from-to)165111-1 - 165111-6
Number of pages6
JournalPhysical Review B
Volume96
DOIs
Publication statusPublished - 6 Oct 2017

Fingerprint

Metal insulator transition
sliding
insulators
Scattering
Impurities
Defects
defects
Liquids
liquids
scattering
metals
Phase diagrams
conduction
impurities
Wire
phase diagrams
interactions
wire
disorders
scaling

Bibliographical note

©2017 American Physical Society. All rights reserved

Funding: Leverhulme Trust Research Project Grant No. RPG-2016-044.

Keywords

  • metal-insulator transition
  • Luttinger liquid

Cite this

Chudnovskiy, Alexander ; Kagalovsky, Victor ; Yurkevich, Igor V. / Metal-insulator transition in a sliding Luttinger liquid with line defects. In: Physical Review B. 2017 ; Vol. 96. pp. 165111-1 - 165111-6.
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Metal-insulator transition in a sliding Luttinger liquid with line defects. / Chudnovskiy, Alexander; Kagalovsky, Victor; Yurkevich, Igor V.

In: Physical Review B, Vol. 96, 06.10.2017, p. 165111-1 - 165111-6.

Research output: Contribution to journalArticle

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AU - Chudnovskiy, Alexander

AU - Kagalovsky, Victor

AU - Yurkevich, Igor V.

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AB - We investigate the effect of both strong and weak potential scattering caused by local impurities and extended (line) defects in an array of Luttinger liquid wires. We find that in both cases a finite range interwire interaction stabilizes the metallic state. Based on calculations of the scaling dimensions of one-particle scattering operators, we construct a phase diagram for low-temperature transport along the array.We find that unlike the local impurity case where only conducting and insulating states are realized (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).

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