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Heating and thermoelectric transport in a molecular junction

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Abstract

The energy dissipation and heat flows associated with the particle current in a system with a molecular junction are considered. In this connection, we determine the effective temperature of the molecular oscillator that is compatible with the existence of a steady state. The calculations based on the Kadanoff-Baym nonequilibrium Green function formalism are carried out supposing a strong coupling of the dot electrons with the molecular vibrations. Accordingly, the representation given by the Lang-Firsov polaron transformation is used and the dependence of results on the electron–phonon interaction strength is investigated.

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References

  1. Y. Dubi, M. Di Ventra, Rev. Mod. Phys. 83, 131 (2011)

    Article  ADS  Google Scholar 

  2. J.P. Bergfield, M.A. Ratner, PSSB 250, 2249 (2013)

    ADS  Google Scholar 

  3. USDOE, Advanced Thermoelectric Materials for Efficient Waste Heat Recovery in Process Industries, 2009

  4. O. Entin-Wohlman, Y. Imry, A. Aharony, Phys. Rev. B 82, 115314 (2010)

    Article  ADS  Google Scholar 

  5. P. Reddy, S.Y. Jang, R.A. Segalman, A. Majumdar, Science 315, 1568 (2007)

    Article  ADS  Google Scholar 

  6. M. Galperin, M.A. Ratner, A. Nitzan, J. Phys.: Condens. Matter 19, 103201 (2007)

    ADS  Google Scholar 

  7. G. Schulze, K.J. Franke, A. Gagliardi, G. Romano, C.S. Lin, A.L. Rosa, T.A. Niehaus, Th. Frauenheim, A. Di Carlo, A. Pecchia, J.I. Pascual, Phys. Rev. Lett. 100, 136801 (2008)

    Article  ADS  Google Scholar 

  8. G. Romano, A. Pecchia, A. Di Carlo, J. Phys.: Condens. Matter 19, 215207 (2007)

    ADS  Google Scholar 

  9. M. Galperin, A. Nitzan, M. Ratner, Phys. Rev. B 75, 155312 (2007)

    Article  ADS  Google Scholar 

  10. L. Hedin, Phys. Rev. 139, A796 (1965)

    Article  ADS  Google Scholar 

  11. J.P. Bergfried, C.A. Stafford, Phys. Rev. B 79, 245125 (2001)

    Article  ADS  Google Scholar 

  12. L.P. Kadanoff, G. Baym, Quantum statistical mechanics (Benjamin/Cumming Publishing Company, Reading, MA, 1962)

  13. N.E. Dahlen, R. van Leeuwen, Phys. Rev. Lett. 98, 153004 (2007)

    Article  ADS  Google Scholar 

  14. P. Myöhänen, A. Stan, G. Stefanucci, R. van Leeuwen, Europhys. Lett. 84, 012014 (2008)

    Article  Google Scholar 

  15. J. Taylor, H. Duo, J. Wang, Phys. Rev. B 63, 245407 (2001)

    Article  ADS  Google Scholar 

  16. J. Taylor, H. Duo, J. Wang, Chem. Phys. 281, 171 (2002)

    Article  Google Scholar 

  17. G. Cuniberti, G. Fagas, K. Richter, Introducing molecular electronics: a brief overview (Springer, Berlin-Heidelberg, 2005)

  18. J. Loos, T. Koch, A. Alvermann, A.R. Bishop, H. Fehske, J. Phys.: Condens. Matter 21, 395601 (2009)

    Google Scholar 

  19. T. Koch, J. Loos, A. Alvermann, A.R. Bishop, H. Fehske, J. Phys.: Conf. Ser. 220, 012014 (2010)

    Google Scholar 

  20. T. Koch, J. Loos, A. Alvermann, H. Fehske, Phys. Rev. B 84, 125131 (2011)

    Article  ADS  Google Scholar 

  21. T. Koch, H. Fehske, J. Loos, Phys. Scr. T151, 014039 (2012)

    Article  ADS  Google Scholar 

  22. T. Koch, J. Loos, H. Fehske, Phys. Rev. B 89, 155133 (2014)

    Article  ADS  Google Scholar 

  23. Neil, W. Ashcroft, N.D. Mermin, Solid state physics (Saunders College Publ., Philadelphia, 1976)

  24. G.D. Mahan, Many-particle physics (Kluwer Academic/Plenum Publishers, New York, 2000)

  25. I.G. Lang, Y.A. Firsov, Zh. Eksp. Teor. Fiz. 43, 1843 (1962) [Sov. Phys. JETP 16, 1301 (1963)]

    Google Scholar 

  26. H. Fehske, G. Wellein, J. Loos, A.R. Bishop, Phys. Rev. B 77, 085117 (2008)

    Article  ADS  Google Scholar 

  27. F. Haupt, M. Leijnse, H.L. Calvo, L. Classen, J. Splettstoesser, M.R. Wegewijs, PSSB 250, 2315 (2013)

    ADS  Google Scholar 

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Correspondence to Holger Fehske.

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Loos, J., Koch, T. & Fehske, H. Heating and thermoelectric transport in a molecular junction. Eur. Phys. J. B 90, 230 (2017). https://doi.org/10.1140/epjb/e2017-80507-7

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  • DOI: https://doi.org/10.1140/epjb/e2017-80507-7

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