Current Delivered by an STM Tip in Landauer-Büttiker Formalism


Article Preview

When an STM tip is brought close to a nano sized sample then it can deliver (or draw) a current that is determined by the Landauer-Büttiker formalism in terms of the scattering matrix that gives partial local density of states. We show that, very paradoxically, the interference related term in this formula vanish in a quantum regime making semi-classical formula for injectance exact in some regime. We explicitly show how evanescent modes are responsible for this. This can have useful implications to experimentalists as semi-classical formulas are much simpler.



Edited by:

Mohamed Othman




U. Satpathi "Current Delivered by an STM Tip in Landauer-Büttiker Formalism", Applied Mechanics and Materials, Vols. 229-231, pp. 1630-1634, 2012

Online since:

November 2012





[1] R. Schuster et al., Nature 385, 417 (1997), E. Buks et al., Phys. Rev. Lett. 77, 4664 (1996), Yang Ji et al., Science 290, 779 (2000), K. Kobayashi et al., Phys. Rev. B 68, 235304 (2003), K. Kobayashi et al., Phys. Rev. B 70, 035319 (2004).


[2] R. Englman and A. Yahalom, Phys. Rev. B 61, 2716 (2000).

[3] S. Datta, Electronic transport in mesoscopic systems, (Cambridge University Press, Cambridge, UK, 1979).

[4] M. Büttiker, H. Thomas, and A Pretre, Z. Phys B 94, 133 (1994); M. Büttiker, Pramana Journal of Physics 58, 241 (2002).

[5] P Singha Deo, Phys. Rev. B 75, 235330 (2007).

[6] C. Texier and M. Büttiker, Phys. Rev. B 67, 245410 (2003).

[7] H. W. Lee, Phys. Rev. Lett 82, 2358 (1999).

[8] L. Yeyati and M. Büttiker, Phys. Rev. B 62, 7307 (2000), and references therein.

[9] T. Taniguchi and M. Büttiker, Phys. Rev. B 60, 13814 (1999).

[10] U. Satpathi and P. S. Deo, International Journal of Mod. Phys. B 26, 1250028 (2012).

[11] C. R. Leavens and G. C. Aers, Phys. Rev. B 39, 1202 (1989), E. H. Hauge, J. P. Falck, and T. A. Fjeldly, Phys. Rev. B 36, 4203 (1987).

[12] B. F. Bayman and C. J. Mehoke, Am. J. Phys. 51, 875 (1983).

[13] P. F. Bagwell, Phys. Rev. B 41, 10354 (1990).

Fetching data from Crossref.
This may take some time to load.