Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-03-18
Phys. Rev. Lett. 103, 096402 (2009)
Physics
Condensed Matter
Strongly Correlated Electrons
Added reference
Scientific paper
10.1103/PhysRevLett.103.096402
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.
Garg Arti
Rasch David
Rosch Achim
Shimshoni Efrat
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