Skip to main content

Simulations of Constant Current STM Images of Open-Shell Systems

  • Conference paper
  • First Online:
Imaging and Manipulating Molecular Orbitals

Part of the book series: Advances in Atom and Single Molecule Machines ((AASMM))

  • 1099 Accesses

Abstract

In this chapter we review the main methods for simulating STM images, mainly the Tersoff–Hamman approximation based on the Bardeen approach and full-fledge Landauer calculations based on nonequilibrium Green’s functions (NEGF). However, these methods are built on the electronic structure of the system as computed by density functional theory (DFT). This theory has important limitation for open-shell systems. As a matter of fact, an open-shell molecule on a metallic substrate can lead to correlations among the electrons of the metal. This gives rise to the Kondo effect. Hence, we briefly present a method to implement STM image simulations including the Kondo effect.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Martin, R.M.: Electronic Structure. Basic theory and practical methods. (Cambridge, 2008).

    Google Scholar 

  2. Hohenberg, P., Kohn, W.: Phys. Rev. 136, B864 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  3. Kohn, W., Sham, L.J.: Phys. Rev. 140, A1133 (1965)

    Article  MathSciNet  ADS  Google Scholar 

  4. Lang, N.D., Kohn, W.: Phys. Rev. B 1, 4555 (1970)

    Article  ADS  Google Scholar 

  5. Tersoff, J., Hamman, D.R.: Phys. Rev. Lett. 50, 1998 (1983)

    Article  ADS  Google Scholar 

  6. Tersoff, J., Hamman, D.R.: Phys. Rev. B 31, 805 (1985)

    Article  ADS  Google Scholar 

  7. Bardeen, J.: Phys. Rev. Lett. 6, 57 (1961)

    Article  ADS  Google Scholar 

  8. Datta, S.: Electronic Transport in Mesoscopic Systems (Cambridge University Press, 2007).

    Google Scholar 

  9. Brandbyge, M., Mozos, J.L., Ordejón, P., Taylor, J., Stokbro, K.: Phys. Rev. B 65, 165401 (2002)

    Article  ADS  Google Scholar 

  10. Rocha, A.R., García-Suárez, V.M., Bailey, S., Lambert, C., Ferrer, J., Sanvito, S.: Phys. Rev. B 73, 085414 (2006)

    Article  ADS  Google Scholar 

  11. Hewson, A.C.: The Kondo Problem to Heavy Fermions (Cambridge University Press, 1997).

    Google Scholar 

  12. Madhavan, V., Chen, W., Jamneala, T., Crommie, M.F., Wingreen, N.S.: Science 280, 5363 (1998)

    Article  Google Scholar 

  13. Li, J., Schneider, W.D., Berndt, R., Delley, B.: Phys. Rev. Lett. 80, 2893 (1998)

    Article  ADS  Google Scholar 

  14. Ternes, M., Heinrich, A.J., Schneider, W.D.: J. Phys.: Condens. Matter 21, 053001 (2009).

    Google Scholar 

  15. Lorente, N.: Theory of tunneling currents and induced dynamics at surfaces in Dynamics. Handbook of Surface Science. (North Holland, 2008).

    Google Scholar 

  16. Cohen-Tannoudji, C., Diu, B.: Laloë . Quantum mechanics (Wiley-VCH, F. (1977)

    Google Scholar 

  17. Chen, C.J.: Introduction to Scanning Tunneling Microscopy (Oxford University Press, 2007).

    Google Scholar 

  18. Olsson, F.E., Persson, M., Lorente, N., Lauhon, L.J., Ho, W.: J. Phys. Chem. B 106, 8161 (2002)

    Article  Google Scholar 

  19. Franke, K.J., Schulze, G., Henningsen, N., Fernández-Torrente, I., Pascual, J.I., Zarwell, S., Rück-Braun, K., Cobian, M., Lorente, N.: Phys. Rev. Lett. 100, 036807 (2008)

    Article  ADS  Google Scholar 

  20. Alducin, M., Sánchez-Portal, D., Arnau, A., Lorente, N.: Phys. Rev. Lett. 104, 136101 (2010)

    Article  ADS  Google Scholar 

  21. Robles, R., Lorente, N., Isshiki, H., Liu, J., Katoh, K., Breedlove, B.K., Yamashita, M., Komeda, T.: Nano Lett. 12, 3609 (2012)

    Article  ADS  Google Scholar 

  22. Mugarza, A., Lorente, N., Ordejón, P., Krull, C., Stepanow, S., Bocquet, M.L., Fraxedas, J., Ceballos, G., Gambardella, P.: Phys. Rev. Lett. 105, 115702 (2010)

    Article  ADS  Google Scholar 

  23. Mugarza, A., Krull, C., Robles, R., Stepanow, S., Ceballos, G., Gambardella, P.: Nature Commun. 2, 490 (2011)

    Article  ADS  Google Scholar 

  24. Mugarza, A., Robles, R., Krull, C., Korytár, R., Lorente, N., Gambardella, P.: Phys. Rev. B 85, 155437 (2012)

    Article  ADS  Google Scholar 

  25. Kepenekian, M., Robles, R.: Lorente. First-principles simulations of electronic transport in dangling-bond wires (Springer, N. (2013)

    Google Scholar 

  26. Soler, J.M., Artacho, E., Gale, J.D., García, A., Junquera, J., Ordejón, P., Sánchez-Portal, D.: J. Phys.: Condens. Matter 14, 2745 (2002).

    Google Scholar 

  27. Artacho, E., Anglada, E., Diéguez, O., Gale, J.D., García, A., Junquera, J., Martin, R.M., Ordejón, P., Pruneda, J.M., Sánchez-Portal, D., Soler, J.M.: J. Phys.: Condens. Matter 20, 064208 (2008).

    Google Scholar 

  28. Kondo, J.: Prog. Theor. Phys. 32, 37 (1964)

    Article  ADS  Google Scholar 

  29. Anderson, P.W.: Phys. Rev. 124, 41 (1961)

    Article  MathSciNet  ADS  Google Scholar 

  30. Kuramoto, Y.: Z. Phys. B 53, 37 (1983)

    Article  ADS  Google Scholar 

  31. Grewe, N.: Z. Phys. B 53, 271 (1983)

    Article  ADS  Google Scholar 

  32. Coleman, P.: Phys. Rev. B 29(6), 3035 (1984)

    Article  ADS  Google Scholar 

  33. Kroha, J., Kirchner, S., Sellier, G., Wölfle, P., Ehm, D., Reinert, F., Hüfner, S., Geibel, C.: Phys. E 18, 69 (2003)

    Article  Google Scholar 

  34. Bickers, N.: Rev. Mod. Phys. 59, 845 (1987)

    Article  ADS  Google Scholar 

  35. Korytár, R.: Molecular Kondo problem. First-principles approach for scanning-tunneling microscope studies. (Universitat Autònoma de Barcelona, 2011).

    Google Scholar 

  36. Korytár, R., Lorente, N.: J. Phys.: Condens. Matter 23, 355009 (2011).

    Google Scholar 

  37. Private communication from A. Mugarza, see also Refs. [23,24].

    Google Scholar 

Download references

Acknowledgments

Authors would like to thank the European Union Integrated Project AtMol for financial support.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Kepenekian .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kepenekian, M., Robles, R., Korytár, R., Lorente, N. (2013). Simulations of Constant Current STM Images of Open-Shell Systems. In: Grill, L., Joachim, C. (eds) Imaging and Manipulating Molecular Orbitals. Advances in Atom and Single Molecule Machines. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38809-5_10

Download citation

Publish with us

Policies and ethics