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 L∼ΓU/Γimp1 at the commensurate point to very small values L∼Γimp/ΓU1 for a slightly doped system. This surprising behavior is a consequence of approximate symmetries existing even in the presence of strong umklapp scattering.
Original language | English |
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Article number | 096402 |
Journal | Physical Review Letters |
Volume | 103 |
Issue number | 9 |
DOIs | |
State | Published - 28 Aug 2009 |