Functional theories of thermoelectric phenomena
Department of Physics, University of California San Diego, La Jolla, CA 92093-0319 USA
I will discuss non-equilibrium density functional theories of local temperatures and associated heat currents that are particularly suited for the study of thermoelectric phenomena. In one case, I will introduce a functional theory of open quantum systems  that allows for the study of local temperatures by the introduction of local thermal probes. In another , we couple the local temperature field to an energy density operator. I will also provide predictions on the local temperature oscillations in atomic wires , carbon nano-ribbons and graphene junctions , and discuss similarities and differences between the different local temperature definitions in the strongly-correlated regime .
 M. Di Ventra and R. D'Agosta, Phys. Rev. Lett. 98, 226403 (2007).
 F. Eich, G. Vignale and M. Di Ventra, Phys. Rev. Lett. 112, 196401 (2014).
 Y. Dubi and M. Di Ventra, Nano Lett. 9, 97 (2008).
 J. P. Bergfield, M. A. Ratner, C. A. Stafford, and M. Di Ventra, Phys. Rev. B 91, 125407 (2015).
 L. Z. Ye, D. Hou, X. Zheng, Y.J. Yan, and M. Di Ventra, Phys. Rev. B 91, 205106 (2015).