Heat conduction and Wiedemann-Franz Law in disordered Luttinger Liquids

Details Heat conduction and Wiedemann-Franz Law in disordered Luttinger Liquids Heat conduction and Wiedemann-Franz Law in disordered Luttinger Liquids

2002-01-17

arxiv.org/abs/cond-mat/0201291v2

Europhys. Lett. 60 p. 432 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 eps figure; Changes made to address Referees' comments

Scientific paper

10.1209/epl/i2002-00282-0

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.

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