A

We study thermal transport in a one-dimensional (1d) interacting electron gas, employing the Luttinger liquid model. Both thermal conductance and thermopower are analyzed for a pure 1d gas and with impurities. The universal ratio of electrical to thermal conductance in a Fermi-liquid the Wiedeman-Franz law - is modified, whereas the thermopower is still linear in temperature. For a single impurity the Lorenz number is given by L ( T → 0) = 3 L 0 / (2 g + g 2 ) - with L 0 the Fermi liquid value - and the conductance 1 / 2 < g < 1. For g < 1 / 2 the Lorenz number diverges as T → 0. Possible relevance to thermal transport in conducting polymer systems is discussed.

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