Anomalous Thermal Transport in Quantum Wires

In this paper we study the thermal conductance of an interacting one-dimensional quantum wire, connected to non-interacting reservoirs. Despite of the absence of electron backscattering, interactions in the wire strongly influence thermal transport. Electrons, carrying the charge, propagate with unitary transmission through the wire and electric conductance is not affected. Energy, however, is carried by bosonic excitations (plasmons) which suffer from scattering even on scales much larger than the Fermi wavelength. The Wiedemann-Franz law is violated: the Lorentz number $ L$ decreases with increasing temperature. If the electron density varies randomly, plasmons are localized and "charge-energy separation" occurs. We also discuss the effect of plasmon-plasmon interaction using Levinson's theory of nonlocal heat transport.