Current induced local heating and heat transport in single molecular bridge junction

Current induced local heating will be discussed theoretically. Both electric conductance and heat conductance of electronic and phonon origins are calculated in a microscopic way, including inelastic scattering effects due to electron-phonon couplings. [1] Based on the self-consistent solution for an alkanethiol molecule bridging gold electrodes, we found that the effective temperature T$_{eff}$ due to the local heating is largely reduced by the heat conductance, which releases the Joule heat out of the molecule. All these calculations are made in a fully microscopic way without introduction of the phenomenological phonon diffusion effect used in literature. Theoretical voltage dependence of T$_{eff}$ agrees nicely with an experiment. [2] Ref.) [1]Y. Asai, Phys. Rev. B78, 045434 (2008). [2] Z.Huang et al, Nano Letters, 6, 1240 (2006).