Phys. Rev. Lett. 103, 096402 (2009) [4 pages]Large Violation of the Wiedemann-Franz Law in Luttinger LiquidsSee Also: Erratum Received 23 March 2009; published 24 August 2009 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 L∼ΓU/Γimp≫1 at the commensurate point to very small values L∼Γimp/ΓU≪1 for a slightly doped system. This surprising behavior is a consequence of approximate symmetries existing even in the presence of strong umklapp scattering. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.096402
DOI:
10.1103/PhysRevLett.103.096402
PACS:
71.10.Pm, 72.10.Bg, 72.15.Eb, 73.50.Lw
See AlsoErratum: Arti Garg, David Rasch, Efrat Shimshoni, and Achim Rosch, Erratum: Large Violation of the Wiedemann-Franz Law in Luttinger Liquids [Phys. Rev. Lett. 103, 096402 (2009)], Phys. Rev. Lett. 103, 239903 (2009). |
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