Transport in Luttinger Liquids

Giamarchi, Thierry; Nattermann, T.; Le Doussal, P.

doi:10.1007/1-4020-2193-3_16

Book chapter

English

Transport in Luttinger Liquids

Contributors

Giamarchi, Thierry; Nattermann, T.; Le Doussal, P.

Published in

Lerner, I. V. & Altshuler, B. L. & Gefen, Y. (Ed.), Fundamental Problems of Mesoscopic Physic, p. 275-284

Publisher

Dordrecht (Pays-Bas) : Springer

Collection

NATO Science Series II: Mathematics, Physics and Chemistry; 154

Publication date

2004

Abstract

We compute the transport properties of one dimensional interacting electrons, also known as a Luttinger liquid. We show that a renormalization group study allows to obtain the temperature dependence of the conductivity in an intermediate temperature range. In this range the conductivity has a power-law like dependence in temperature. At low temperatures, the motion proceed by tunnelling between localized configurations. We compute this tunnelling rate using a bosonization representation and an instanton technique. We find a conductivity σ(T)∝e−β1/2, where β is the temperature. We compare this results with the standard variable range hopping (VRH) formula.

Keywords

Luttinger liquid
Creep
Conductivity
Variable range hopping
Disorder

UNIGE affiliation entities

Faculté des sciences / Section de physique / Département de physique de la matière quantique

UNIGE research groups

Groupe Giamarchi

Citation (ISO format)

GIAMARCHI, Thierry, NATTERMANN, T., LE DOUSSAL, P. Transport in Luttinger Liquids. In: Fundamental Problems of Mesoscopic Physic. Lerner, I. V. & Altshuler, B. L. & Gefen, Y. (Ed.). Dordrecht (Pays-Bas) : Springer, 2004. p. 275–284. (NATO Science Series II: Mathematics, Physics and Chemistry) doi: 10.1007/1-4020-2193-3_16

Book chapter (Accepted version)

Identifiers

PID : unige:36142
DOI : 10.1007/1-4020-2193-3_16

Additional URL for this publication

http://link.springer.com/10.1007/1-4020-2193-3_16

ISBN

978-1-4020-2192-3

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Creation

29/04/2014 11:26:00

First validation

29/04/2014 11:26:00

Update

14/03/2023 21:10:13

Status update

14/03/2023 21:10:13

Last indexation

30/10/2024 17:01:48

Transport in Luttinger Liquids

Contributors

Published in

Publisher

Collection

Publication date

Abstract

Keywords

UNIGE affiliation entities

UNIGE research groups

Citation (ISO format)

Main files (1)

Identifiers

Additional URL for this publication

ISBN

Technical informations

Creation

First validation

Update

Status update

Last indexation