Abstract
We show that in weakly disordered Luttinger liquids close to a commensurate filling the ratio of thermal conductivity and electrical conductivity can deviate strongly from the Wiedemann-Franz law valid for Fermi liquids scattering from impurities. In the regime where the umklapp scattering rate is much larger than the impurity scattering rate , the Lorenz number rapidly changes from very large values at the commensurate point to very small values for a slightly doped system. This surprising behavior is a consequence of approximate symmetries existing even in the presence of strong umklapp scattering.
- Received 23 March 2009
DOI:https://doi.org/10.1103/PhysRevLett.103.096402
©2009 American Physical Society