Instability of the sliding Luttinger liquid

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Instability of the sliding Luttinger liquid. / Fleurov, V.; Kagalovsky, Victor; Lerner, Igor; Yurkevich, Igor V.

In: Journal of Physics Condensed Matter, Vol. 30, No. 18, 185602, 16.04.2018.

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Fleurov, V. ; Kagalovsky, Victor ; Lerner, Igor ; Yurkevich, Igor V. / Instability of the sliding Luttinger liquid. In: Journal of Physics Condensed Matter. 2018 ; Vol. 30, No. 18.

Bibtex

@article{d7a0bcf8cac14f218bdd2197a389e34c,
title = "Instability of the sliding Luttinger liquid",
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.",
keywords = "instability, scaling dimension, sliding Luttinger liquid",
author = "V. Fleurov and Victor Kagalovsky and Igor Lerner and Yurkevich, {Igor V.}",
year = "2018",
month = apr,
day = "16",
doi = "10.1088/1361-648X/aab980",
language = "English",
volume = "30",
journal = "Journal of Physics: Condensed Matter",
issn = "0953-8984",
publisher = "IOP Publishing",
number = "18",

}

RIS

TY - JOUR

T1 - Instability of the sliding Luttinger liquid

AU - Fleurov, V.

AU - Kagalovsky, Victor

AU - Lerner, Igor

AU - Yurkevich, Igor V.

PY - 2018/4/16

Y1 - 2018/4/16

N2 - 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.

AB - 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.

KW - instability

KW - scaling dimension

KW - sliding Luttinger liquid

UR - http://www.scopus.com/inward/record.url?scp=85045574380&partnerID=8YFLogxK

U2 - 10.1088/1361-648X/aab980

DO - 10.1088/1361-648X/aab980

M3 - Article

AN - SCOPUS:85045574380

VL - 30

JO - Journal of Physics: Condensed Matter

JF - Journal of Physics: Condensed Matter

SN - 0953-8984

IS - 18

M1 - 185602

ER -