THERMAL TRANSPORT IN A LUTTINGER LIQUID

We study thermal transport in a one-dimensional (1D) interacting elect ron gas, employing the Luttinger liquid model. Both thermal conductanc e and thermopower are analyzed for a pure 1D gas and with impurities. The universal ratio of electrical to thermal conductance in a Fermi li quid-the Wiedemann-Franz law-is modified, whereas the thermopower is s till linear in temperature. For a single impurity the Lorentz number i s given by L(T --> 0) = 3L(0)/(2g + g(2))-with L(0) the Fermi liquid v alue-and the conductance 1/2 < g < 1. For g < 1/2 the Lorentz number d iverges as T --> 0. Possible relevance to thermal transport in conduct ing polymer systems is discussed.