Large violation of Wiedemann Franz law in Luttinger liquids

Abstract

We show that in weakly disordered Luttinger liquids close to a commensurate filling the ratio of thermal conductivity kappa and electrical conductivity sigma can deviate strongly from the Wiedemann Franz (WF) law valid for Fermi liquids scattering from impurities. In the regime where the Umklapp scattering rate Gamma_U is much larger than the impurity scattering rate Gamma_imp, the Lorenz number L = (kappa/sigma T) rapidly changes from very large values, L ~ (Gamma_U/Gamma_imp) >> 1 at the commensurate point to very small values, L ~ (Gamma_imp/Gamma_U) << 1 for a slightly doped system. This surprising behavior is a consequence of approximate symmetries existing even in the presence of strong Umklapp scattering.

Added reference

References in corpus (4)

• Violation of the Wiedemann-Franz Law in a Single-Electron Transistor
• Failure of the Wiedemann-Franz Law in Mesoscopic Conductors
• Lower bounds for the conductivities of correlated quantum systems
• Large thermomagnetic effects in weakly disordered Heisenberg chains

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