Condensed Matter Physics, 2006, vol. 9, No. 3(47), p. 603617, English
DOI:10.5488/CMP.9.3.603
Title:
Nonlinear Peltier effect and the nonequilibrium JonsonMahan theorem
Author(s):
 J.K.Freericks
(Department of Physics, Georgetown University, Washington, DC,
20057, USA)
,

 V.Zlatic
(Institute of Physics, Bijenicka c. 46, P.O.B. 304, 10000
Zagreb, Croatia)

We generalize the manybody formalism for the Peltier effect to
the nonlinear/nonequilibrium regime corresponding to large amplitude
(spatially uniform but timedependent) electric fields. We find a
relationship between the expectation
values for the charge current and for the part of the
heat current that reduces to the
JonsonMahan theorem in the linearresponse regime. The nonlinearresponse
Peltier effect has an extra term in the heat current that is related
to Joule heating (we are unable to fully analyze this term). The formalism
holds in all dimensions and for arbitrary manybody systems that have local
interactions. We illustrate it for the FalicovKimball, Hubbard, and
periodic Anderson models.
Key words:
Peltier effect, nonlinear response, Keldysh formalism, manybody
physics, JonsonMahan theorem
PACS:
71.27.+a, 71.10.Fd, 71.45.Gm, 72.20.Ht
