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Article Dans Une Revue EPL - Europhysics Letters Année : 2002

Heat conduction and Wiedemann-Franz Law in disordered Luttinger Liquids

Résumé

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.

Dates et versions

hal-00007689 , version 1 (26-07-2005)

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Edmond Orignac, Mei-Rong Li. Heat conduction and Wiedemann-Franz Law in disordered Luttinger Liquids. EPL - Europhysics Letters, 2002, 60, pp.432. ⟨10.1209/epl/i2002-00282-0⟩. ⟨hal-00007689⟩
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