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  Functional theories of thermoelectric phenomena

Eich, F., Di Ventra, M., & Vignale, G. (2017). Functional theories of thermoelectric phenomena. Journal of Physics: Condensed Matter, (29): 063001. doi:10.1088/1361-648X/29/6/063001.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-0CF5-C Version Permalink: http://hdl.handle.net/21.11116/0000-0002-64B8-E
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 Creators:
Eich, FG1, 2, Author              
Di Ventra, M3, Author
Vignale, G2, Author
Affiliations:
1Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
2Department of Physics, University of Missouri­Columbia, Columbia, MO 65211, USA, ou_persistent22              
3University of California at San Diego, La Jolla, CA 92093, USA, ou_persistent22              

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 Abstract: We review the progress that has been recently made in the application of time-dependent density functional theory to thermoelectric phenomena. As the field is very young, we emphasize open problems and fundamental issues. We begin by introducing the formal structure of thermal density functional theory, a density functional theory with two basic variables—the density and the energy density—and two conjugate fields—the ordinary scalar potential and Luttinger's thermomechanical potential. The static version of this theory is contrasted with the familiar finite-temperature density functional theory, in which only the density is a variable. We then proceed to constructing the full time-dependent non equilibrium theory, including the practically important Kohn–Sham equations that go with it. The theory is shown to recover standard results of the Landauer theory for thermal transport in the steady state, while showing greater flexibility by allowing a description of fast thermal response, temperature oscillations and related phenomena. Several results are presented here for the first time, i.e. the proof of invertibility of the thermal response function in the linear regime, the full expression of the thermal currents in the presence of Luttinger's thermomechanical potential, an explicit prescription for the evaluation of the Kohn–Sham potentials in the adiabatic local density approximation, a detailed discussion of the leading dissipative corrections to the adiabatic local density approximation and the thermal corrections to the resistivity that follow from it.

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Language(s): eng - English
 Dates: 2015-10-122016-11-112016-12-192017-02-15
 Publication Status: Published in print
 Pages: 25
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1088/1361-648X/29/6/063001
arXiv: 1607.05464
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Project name : We gratefully acknowledge support from the Deutsche Forschungsgemeinschaft under DFG Grant No. EI 1014/1-1 (FGE), and the DOE under Grants No. DE-FG02-05ER46203 (GV) and DE-FG02-05ER46204 (MD).
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Title: Journal of Physics: Condensed Matter
Source Genre: Journal
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Publ. Info: Bristol : IOP Publishing
Pages: - Volume / Issue: (29) Sequence Number: 063001 Start / End Page: - Identifier: ISSN: 0953-8984
CoNE: /journals/resource/954928562478