Effect of impurity pinning on conduction and specific heat in the Luttinger liquid

Abstract

We study theoretically two effects related to impurity depinning that are common for 1D Luttinger liquid (LL) and linear-chain charge-density wave (CDW) conductors. First, we consider the electron transport through a single impurity in a 1D conducting channel and study a new regime of conduction related to LL sliding at voltage above a threshold one. The DC current in this regime is accompanied by oscillations with frequency f = I / e. This resembles the CDW depinning in linear-chain conductors, the Josephson effect, and the Coulomb blockade. Second, we found that strong pinning of the LL by impurities leads to a magnetic field dependence of the low-temperature specific heat similar to that observed experimentally in CDW compounds. We interpret this in favor of possibility of formation of the LL in linear-chain compounds.

Original language	English
Pages (from-to)	447-451
Number of pages	5
Journal	Physica B: Condensed Matter
Volume	404
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physb.2008.11.091
Publication status	Published - 13 Jan 2009

Keywords

Conduction
Heat capacity
Impurity
Luttinger liquid

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Electrical and Electronic Engineering

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10.1016/j.physb.2008.11.091

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Artemenko, S. N., Remizov, S. V., Shapiro, D. S., & Vakhitov, R. R. (2009). Effect of impurity pinning on conduction and specific heat in the Luttinger liquid. Physica B: Condensed Matter, 404(3-4), 447-451. https://doi.org/10.1016/j.physb.2008.11.091

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title = "Effect of impurity pinning on conduction and specific heat in the Luttinger liquid",

abstract = "We study theoretically two effects related to impurity depinning that are common for 1D Luttinger liquid (LL) and linear-chain charge-density wave (CDW) conductors. First, we consider the electron transport through a single impurity in a 1D conducting channel and study a new regime of conduction related to LL sliding at voltage above a threshold one. The DC current in this regime is accompanied by oscillations with frequency f = I / e. This resembles the CDW depinning in linear-chain conductors, the Josephson effect, and the Coulomb blockade. Second, we found that strong pinning of the LL by impurities leads to a magnetic field dependence of the low-temperature specific heat similar to that observed experimentally in CDW compounds. We interpret this in favor of possibility of formation of the LL in linear-chain compounds.",

keywords = "Conduction, Heat capacity, Impurity, Luttinger liquid",

author = "Artemenko, {S. N.} and Remizov, {S. V.} and Shapiro, {D. S.} and Vakhitov, {R. R.}",

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T1 - Effect of impurity pinning on conduction and specific heat in the Luttinger liquid

AU - Artemenko, S. N.

AU - Remizov, S. V.

AU - Shapiro, D. S.

AU - Vakhitov, R. R.

PY - 2009/1/13

Y1 - 2009/1/13

N2 - We study theoretically two effects related to impurity depinning that are common for 1D Luttinger liquid (LL) and linear-chain charge-density wave (CDW) conductors. First, we consider the electron transport through a single impurity in a 1D conducting channel and study a new regime of conduction related to LL sliding at voltage above a threshold one. The DC current in this regime is accompanied by oscillations with frequency f = I / e. This resembles the CDW depinning in linear-chain conductors, the Josephson effect, and the Coulomb blockade. Second, we found that strong pinning of the LL by impurities leads to a magnetic field dependence of the low-temperature specific heat similar to that observed experimentally in CDW compounds. We interpret this in favor of possibility of formation of the LL in linear-chain compounds.

AB - We study theoretically two effects related to impurity depinning that are common for 1D Luttinger liquid (LL) and linear-chain charge-density wave (CDW) conductors. First, we consider the electron transport through a single impurity in a 1D conducting channel and study a new regime of conduction related to LL sliding at voltage above a threshold one. The DC current in this regime is accompanied by oscillations with frequency f = I / e. This resembles the CDW depinning in linear-chain conductors, the Josephson effect, and the Coulomb blockade. Second, we found that strong pinning of the LL by impurities leads to a magnetic field dependence of the low-temperature specific heat similar to that observed experimentally in CDW compounds. We interpret this in favor of possibility of formation of the LL in linear-chain compounds.

KW - Conduction

KW - Heat capacity

KW - Impurity

KW - Luttinger liquid

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