| Issue |
Europhys. Lett.
Volume 60, Number 3, November I 2002
|
|
|---|---|---|
| Page(s) | 432 - 438 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2002-00282-0 | |
| Published online | 01 October 2002 | |
Heat conduction and Wiedemann-Franz law in disordered Luttinger liquids
1
Department of Physics, University of Guelph -
Guelph, Ontario, Canada N1G 2W1
2
LPTENS, CNRS UMR8549 - 24 rue Lhomond,
75231 Paris Cedex 05, France
Received:
10
July
2002
Accepted:
19
August
2002
We consider heat transport in a Luttinger liquid (LL) with weak disorder and study the Lorenz number for this system. We start at a high-T regime, and calculate both the electrical and thermal conductivities using a memory function approach. The resulting Lorenz number L is independent of T but depends explicitly on the LL exponents. Lowering T, however, allows for a renormalization of the LL exponents from their bare values by disorder, causing a violation of the Wiedemann-Franz law. Finally, we extend the discussion to quantum wire systems and study the wire size dependence of the Lorenz number.
PACS: 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 72.15.Eb – Electrical and thermal conduction in crystalline metals and alloys / 72.15.Nj – Collective modes (e.g., in one-dimensional conductors)
© EDP Sciences, 2002
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.