Large Violation of the Wiedemann-Franz Law in Luttinger Liquids

Arti Garg, David Rasch, Efrat Shimshoni, and Achim Rosch
Phys. Rev. Lett. 103, 096402 – Published 24 August 2009; Erratum Phys. Rev. Lett. 103, 239903 (2009)

Abstract

We show that in weakly disordered Luttinger liquids close to a commensurate filling the ratio of thermal conductivity κ and electrical conductivity σ can deviate strongly from the Wiedemann-Franz law valid for Fermi liquids scattering from impurities. In the regime where the umklapp scattering rate ΓU is much larger than the impurity scattering rate Γimp, the Lorenz number L=κ/(σT) rapidly changes from very large values LΓU/Γimp1 at the commensurate point to very small values LΓimp/ΓU1 for a slightly doped system. This surprising behavior is a consequence of approximate symmetries existing even in the presence of strong umklapp scattering.

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  • Received 23 March 2009

DOI:https://doi.org/10.1103/PhysRevLett.103.096402

©2009 American Physical Society

Erratum

Erratum: Large Violation of the Wiedemann-Franz Law in Luttinger Liquids [Phys. Rev. Lett. 103, 096402 (2009)]

Arti Garg, David Rasch, Efrat Shimshoni, and Achim Rosch
Phys. Rev. Lett. 103, 239903 (2009)

Authors & Affiliations

Arti Garg1, David Rasch2, Efrat Shimshoni3, and Achim Rosch2,4

  • 1Department of Physics, Technion, Haifa 32000, Israel
  • 2Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany
  • 3Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel
  • 4Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California, USA

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Issue

Vol. 103, Iss. 9 — 28 August 2009

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