Advertisement

Coupling to Vibrational Mode

  • Jonas Fransson
Part of the Lecture Notes in Physics book series (LNP, volume 809)

Abstract

A higher degree of complexity is added by including coupling between electrons and local vibrational modes. Here, we begin by considering the theory for electronic transport through molecular quantum dots in which bosonic modes, e.g. vibrations, are present. We finally show a procedure which allows to also include the bosonic degrees of freedom into the many-body operators, thereby putting the electronic and bosonic degrees of freedom on the same level.

Keywords

Electron Spin Resonance Green Function Scanning Tunneling Microscopy Tunnel Junction Spin Current 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Jaklevic, R.C., Lambe, J.: Phys. Rev. Lett. 17, 1139 (1966) ADSCrossRefGoogle Scholar
  2. 2.
    Park, H., Park, J., Lim, A.K.L., Anderson, E.H., Alivisatos, A.P., McEuen, P.L.: Nature 407, 57 (2000) ADSCrossRefGoogle Scholar
  3. 3.
    Smit, R.H.M., Noat, Y., Untiedt, C., Lang, N.D., van Hemert, M.C., van Ruitenbeek, J.M.: Nature 419, 906 (2002) ADSCrossRefGoogle Scholar
  4. 4.
    Wang, W., Lee, T., Kretzschmar, I., Reed, M.A.: Nano Lett. 4, 643 (2004) ADSCrossRefGoogle Scholar
  5. 5.
    Yu, L.H., Keane, Z.K., Ciszek, J.W., Cheng, L., Stewart, M.P., Tour, J.M., Natelson, D.: Phys. Rev. Lett. 93, 266802 (2004) ADSCrossRefGoogle Scholar
  6. 6.
    Hahn, J.R., Lee, H.J., Ho, W.: Phys. Rev. Lett. 85, 1914 (2000) ADSCrossRefGoogle Scholar
  7. 7.
    Gawronski, H., Melhorn, M., Morgenstern, K.: Science 319, 930 (2008) ADSCrossRefGoogle Scholar
  8. 8.
    Persson, B.N.J., Baratoff, A.: Phys. Rev. Lett. 59, 339 (1987) ADSCrossRefGoogle Scholar
  9. 9.
    Tikhodeev, S., Natario, M., Makoshi, K., Mii, T., Ueba, H.: Surf. Sci. 493, 63 (2001) ADSCrossRefGoogle Scholar
  10. 10.
    Mii, T., Tikhodeev, S., Ueba, H.: Surf. Sci. 502–503, 26 (2002) CrossRefGoogle Scholar
  11. 11.
    Lundin, U., McKenzie, R.: Phys. Rev. B 66, 075303 (2002) ADSCrossRefGoogle Scholar
  12. 12.
    Mitra, A., Aleiner, I., Millis, A.J.: Phys. Rev. B 69, 245302 (2004) ADSCrossRefGoogle Scholar
  13. 13.
    Zhu, J.-X., Balatsky, A.V.: Phys. Rev. B 67, 165326 (2003) ADSCrossRefGoogle Scholar
  14. 14.
    Flensberg, K.: Phys. Rev. B 68, 205323 (2003) ADSCrossRefGoogle Scholar
  15. 15.
    Galperin, M., Ratner, M.A., Nitzan, A.: Nano Lett. 5, 125 (2005) ADSCrossRefGoogle Scholar
  16. 16.
    Fransson, J., Zhu, J.-X.: Phys. Rev. B 78, 113307 (2008) ADSCrossRefGoogle Scholar
  17. 17.
    Feynman, R.P.: Phys. Rev. 84, 108 (1951) MathSciNetADSzbMATHCrossRefGoogle Scholar
  18. 18.
    Gradshteyn, I.S., Ryzhik, I.M.: Table of Integrals, Series, and Products, 6th edn. Academic Press, San Diego (2001) Google Scholar
  19. 19.
    Hewson, A.C., Newns, D.M.: J. Phys. C 13, 4477 (1980) ADSGoogle Scholar
  20. 20.
    Zhang, P., Xue, O.-K., Xie, X.C.: Phys. Rev. Lett. 91, 196602 (2003) ADSCrossRefGoogle Scholar
  21. 21.
    Meir, Y., Wingreen, N.S.: Phys. Rev. Lett. 68, 2512 (1992) ADSCrossRefGoogle Scholar
  22. 22.
    Galperin, M., Nitzan, A., Ratner, M.A.: Phys. Rev. B 73, 045314 (2006) ADSCrossRefGoogle Scholar
  23. 23.
    Bickers, N.E.: Rev. Mod. Phys. 59, 845 (1987) ADSCrossRefGoogle Scholar
  24. 24.
    Galperin, M., Nitzan, A., Ratner, M.A.: Phys. Rev. B 78, 125320 (2008) ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Jonas Fransson
    • 1
  1. 1.Dept. PhysicsUppsala UniversityUppsalaSweden

Personalised recommendations