Kubo conductivity of wires with strong multiparticle backscatterings: A variety of fractions

Rose Davies; Igor V. Yurkevich; Victor Kagalovsky

doi:10.1063/10.0042183

Kubo conductivity of wires with strong multiparticle backscatterings: A variety of fractions

Rose Davies
, Igor V. Yurkevich
, Victor Kagalovsky

Aston University

Research output: Contribution to journal › Article › peer-review

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Abstract

We study a multichannel quasi-one-dimensional system in the framework of the Tomonaga–Luttinger liquid model. Relevant backscattering perturbations create gaps in the corresponding fields, thereby changing the properties of the system. We model these gapped fields by introducing masses of bosonic fields and sending them to infinity to find the correlator of two fields describing the original channels. The exact solution for the corresponding Green function in the low-frequency limit allows us to use the Kubo formula to calculate the dc conductance of the system, which explains all seminal experimental results.

Original language	English
Pages (from-to)	139-141
Journal	Low Temperature Physics
Volume	52
Issue number	1
Early online date	1 Jan 2026
DOIs	https://doi.org/10.1063/10.0042183
Publication status	Published - 1 Jan 2026

Bibliographical note

This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared as "Davies, R, Yurkevich, IV & Kagalovsky, V (2026), 'Kubo conductivity of wires with strong multiparticle backscatterings: A variety of fractions', Low Temperature Physics, vol. 52, no. 1, pp. 139-141," and may be found at: https://doi.org/10.1063/10.0042183

Keywords

Green function
Kubo conductivity
Tomonaga–Luttinger liquid.
one-dimensional system
strong multiparticle backscattering

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10.1063/10.0042183

Davies Yurkevich and Kagalovsky_AAM_Kubo conductivity of wires w strong multiparticle backscatterings_variety of fractions
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared as "Davies, R, Yurkevich, IV & Kagalovsky, V (2026), 'Kubo conductivity of wires with strong multiparticle backscatterings: A variety of fractions', Low Temperature Physics, vol. 52, no. 1, pp. 139-141," and may be found at: https://doi.org/10.1063/10.0042183
Accepted author manuscript, 97.1 KBLicence: Unspecified

Cite this

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title = "Kubo conductivity of wires with strong multiparticle backscatterings: A variety of fractions",

abstract = "We study a multichannel quasi-one-dimensional system in the framework of the Tomonaga–Luttinger liquid model. Relevant backscattering perturbations create gaps in the corresponding fields, thereby changing the properties of the system. We model these gapped fields by introducing masses of bosonic fields and sending them to infinity to find the correlator of two fields describing the original channels. The exact solution for the corresponding Green function in the low-frequency limit allows us to use the Kubo formula to calculate the dc conductance of the system, which explains all seminal experimental results.",

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note = "This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared as {"}Davies, R, Yurkevich, IV \& Kagalovsky, V (2026), 'Kubo conductivity of wires with strong multiparticle backscatterings: A variety of fractions', Low Temperature Physics, vol. 52, no. 1, pp. 139-141,{"} and may be found at: https://doi.org/10.1063/10.0042183 ",

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AB - We study a multichannel quasi-one-dimensional system in the framework of the Tomonaga–Luttinger liquid model. Relevant backscattering perturbations create gaps in the corresponding fields, thereby changing the properties of the system. We model these gapped fields by introducing masses of bosonic fields and sending them to infinity to find the correlator of two fields describing the original channels. The exact solution for the corresponding Green function in the low-frequency limit allows us to use the Kubo formula to calculate the dc conductance of the system, which explains all seminal experimental results.

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KW - Kubo conductivity

KW - Tomonaga–Luttinger liquid.

KW - one-dimensional system

KW - strong multiparticle backscattering

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EP - 141

JO - Low Temperature Physics

JF - Low Temperature Physics

IS - 1

ER -

Kubo conductivity of wires with strong multiparticle backscatterings: A variety of fractions

Abstract

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Keywords

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