Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem

We generalize the many-body formalism for the Peltier effect to the nonlinear/nonequilibrium regime corresponding to large amplitude (spatially uniform but time-dependent) electric fields. We find a relationship between the expectation values for the charge current and for the part of the heat cur...

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Bibliographic Details
Date:2006
Main Authors: Freericks, J.K., Zlatic, V.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2006
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/121367
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem / J.K. Freericks, V. Zlatic // Condensed Matter Physics. — 2006. — Т. 9, № 3(47). — С. 603–617. — Бібліогр.: 24 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:We generalize the many-body formalism for the Peltier effect to the nonlinear/nonequilibrium regime corresponding to large amplitude (spatially uniform but time-dependent) 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 Jonson-Mahan theorem in the linear-response regime. The nonlinear-response 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 many-body systems that have local interactions. We illustrate it for the Falicov-Kimball, Hubbard, and periodic Anderson models.