Skip to main content
SpringerLink
Log in

Cross correlations in mesoscopic charge detection

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

We study a tunnel contact that acts as charge detector for a single-electron transistor (SET) focusing on correlations between the detector current and the current through the SET. This system can be described fully by a Markovian master equation for the SET, while electron tunneling in the charge monitor represents a process with a stochastic rate, which can be solved exactly. It turns out that current monitoring is possible as long as the detector current correlates with the currents through either SET barrier. By contrast, correlations with the effective current according to the Ramo-Shockley theorem are not essential. Moreover, we propose the measurement of the SET barrier capacitances.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. Gustavsson, R. Leturcq, B. Simovič, R. Schleser, T. Ihn, P. Studerus, K. Ensslin, D.C. Driscoll, A.C. Gossard, Phys. Rev. Lett. 96, 076605 (2006)

    Article  ADS  Google Scholar 

  2. T. Fujisawa, T. Hayashi, R. Tomita, Y. Hirayama, Science 312, 1634 (2006)

    Article  ADS  Google Scholar 

  3. C. Fricke, F. Hohls, W. Wegscheider, R.J. Haug, Phys. Rev. B 76, 155307 (2007)

    Article  ADS  Google Scholar 

  4. H.M. Wiseman, D.W. Utami, H.B. Sun, G.J. Milburn, B.E. Kane, A. Dzurak, R.G. Clark, Phys. Rev. B 63, 235308 (2001)

    Article  ADS  Google Scholar 

  5. G. Schaller, G. Kießlich, T. Brandes, Phys. Rev. B 82, 041303(R) (2010)

    Article  ADS  Google Scholar 

  6. C. Kreisbeck, F.J. Kaiser, S. Kohler, Phys. Rev. B 81, 125404 (2010)

    Article  ADS  Google Scholar 

  7. S.A. Gurvitz, Phys. Rev. B 56, 15215 (1997)

    Article  ADS  Google Scholar 

  8. H.-S. Goan, G.J. Milburn, H.M. Wiseman, H.B. Sun, Phys. Rev. B 63, 125326 (2001)

    Article  ADS  Google Scholar 

  9. T. Gilad, S.A. Gurvitz, Phys. Rev. Lett. 97, 116806 (2006)

    Article  ADS  Google Scholar 

  10. S. Ashhab, J.Q. You, F. Nori, New J. Phys. 11, 083017 (2009)

    Article  ADS  Google Scholar 

  11. S. Ashhab, J.Q. You, F. Nori, Phys. Scr. T137, 014005 (2009)

    Article  ADS  Google Scholar 

  12. R. Sánchez, R. López, D. Sánchez, M. Büttiker, Phys. Rev. Lett. 104, 076801 (2010)

    Article  ADS  Google Scholar 

  13. D.S. Golubev, Y. Utsumi, M. Marthaler, G. Schön, Phys. Rev. B 84, 075323 (2011)

    Article  ADS  Google Scholar 

  14. M. Esposito, U. Harbola, S. Mukamel, Rev. Mod. Phys. 81, 1665 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  15. M. Campisi, P. Hänggi, P. Talkner, Rev. Mod. Phys. 83, 771 (2011)

    Article  ADS  Google Scholar 

  16. A. Braggio, C. Flindt, T. Novotný, J. Stat. Mech. 2009, P01048 (2009)

    Article  Google Scholar 

  17. M. Stark, S. Kohler, Europhys. Lett. 91, 20007 (2010)

    Article  ADS  Google Scholar 

  18. R. Hussein, S. Kohler, Phys. Rev. B 86, 115452 (2012)

    Article  ADS  Google Scholar 

  19. G. Schaller, C. Emary, G. Kiesslich, T. Brandes, Phys. Rev. B 84, 085418 (2011)

    Article  ADS  Google Scholar 

  20. C. Flindt, C. Fricke, F. Hohls, T. Novotný, K. Netočný, T. Brandes, R.J. Haug, Proc. Natl. Acad. Sci. USA 106, 10116 (2009)

    Article  ADS  Google Scholar 

  21. N. Ubbelohde, C. Fricke, C. Flindt, F. Hohls, R.J. Haug, Nat. Commun. 3, 612 (2012)

    Article  Google Scholar 

  22. S.A. Gurvitz, Ya.S. Prager, Phys. Rev. B 53, 15932 (1996)

    Article  ADS  Google Scholar 

  23. W. Shockley, J. Appl. Phys. 9, 635 (1938)

    Article  ADS  Google Scholar 

  24. S. Ramo, Proc. I.R.E. 27, 584 (1939)

    Article  Google Scholar 

  25. Ya.M. Blanter, M. Büttiker, Phys. Rep. 336, 1 (2000)

    Article  ADS  Google Scholar 

  26. D. Mozyrsky, S. Kogan, V.N. Gorshkov, G.P. Berman, Phys. Rev. B 65, 245213 (2002)

    Article  ADS  Google Scholar 

  27. G.-L. Ingold, Yu.V. Nazarov, Single Charge Tunneling, Vol. 294 of NATO ASI Series B (Plenum, New York, 1992), pp. 21–107

  28. C. Emary, D. Marcos, R. Aguado, T. Brandes, Phys. Rev. B 76, 161404 (2007)

    Article  ADS  Google Scholar 

  29. T. Brandes, Ann. Phys. 17, 477 (2008)

    Article  MATH  Google Scholar 

  30. D.A. Bagrets, Yu.V. Nazarov, Phys. Rev. B 67, 085316 (2003)

    Article  ADS  Google Scholar 

  31. A.N. Korotkov, Phys. Rev. B 49, 10381 (1994)

    Article  ADS  Google Scholar 

  32. U. Hanke, Y. Galperin, K.A. Chao, M. Gisselfält, M. Jonson, R.I. Shekhter, Phys. Rev. B 51, 9084 (1995)

    Article  ADS  Google Scholar 

  33. N.G. van Kampen, Stochastic processes in physics and chemistry (North-Holland Pubs., Amsterdam, 1992)

  34. P.R. Bouzas, M.J. Valderrama, A.M. Aguilera, Appl. Math. Model. 30, 1021 (2006)

    Article  MATH  Google Scholar 

  35. B. Elattari, S.A. Gurvitz, Phys. Lett. A 292, 289 (2002)

    Article  ADS  Google Scholar 

  36. S. Gustavsson, M. Studer, R. Leturcq, T. Ihn, K. Ensslin, D.C. Driscoll, A.C. Gossard, Phys. Rev. Lett. 99, 206804 (2007)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, 28049, Madrid, Spain

    Sigmund Kohler

Authors
  1. Sigmund Kohler
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sigmund Kohler.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kohler, S. Cross correlations in mesoscopic charge detection. Eur. Phys. J. B 86, 285 (2013). https://doi.org/10.1140/epjb/e2013-40185-1

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2013-40185-1

Keywords

Search

Navigation