Skip to main content
Log in

Out-of-equilibrium admittance of single electron box under strong Coulomb blockade

JETP Letters Aims and scope Submit manuscript

Abstract

We study admittance and energy dissipation in an out-of-equilibrium single electron box. The system consists of a small metallic island coupled to a massive reservoir via single tunneling junction. The potential of electrons in the island is controlled by an additional gate electrode. The energy dissipation is caused by an AC gate voltage. The case of a strong Coulomb blockade is considered. We focus on the regime when electron coherence can be neglected but quantum fluctuations of charge are strong due to Coulomb interaction. We obtain the admittance under the specified conditions. It turns out that the energy dissipation rate can be expressed via charge relaxation resistance and renormalized gate capacitance even out of equilibrium. We suggest the admittance as a tool for a measurement of the bosonic distribution corresponding collective excitations in the system.

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

Access this article

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. G. Schön and A. Zaikin, Phys. Rep. 198, 237 (1990).

    Article  ADS  Google Scholar 

  2. Z. Phys. B Condens. Matter 85, 317 (1991), Special Issue on Single Charge Tunneling, Ed. by H. Grabert and H. Horner.

    Article  Google Scholar 

  3. Single Charge Tunneling, Ed. by H. Grabert and M. H. Devoret (Plenum, New York, 1992).

    Google Scholar 

  4. I. Aleiner, P. Brouwer, and L. Glazman, Phys. Rep. 358, 309 (2002).

    Article  ADS  Google Scholar 

  5. L. I. Glazman and M. Pustilnik, in New Directions in Mesoscopic Physics (Towards Nanoscience), Ed. by R. Fazio, G. F. Gantmakher, and Y. Imry (Kluwer, Dordrecht, 2003).

    Google Scholar 

  6. D. M. Basko and V. E. Kravtsov, Phys. Rev. Lett. 93, 056804 (2004); Phys. Rev. B 71, 085311 (2005).

    Article  ADS  Google Scholar 

  7. D. Bagrets and F. Pistolesi, Phys. Rev. B 75, 165315 (2007).

    Article  ADS  Google Scholar 

  8. A. Altland and F. Egger, Phys. Rev. Lett. 102, 026805 (2009).

    Article  ADS  Google Scholar 

  9. T. T. Heikkilä and Yu. V. Nazarov, Phys. Rev. Lett. 102, 130605 (2009); M. A. Laakso, T. T. Heikkil Yu. V. Nazarov, Phys. Rev. Lett. 104, 196805 (2010); M. A. Laakso, T. T. Heikkil, and Yu. V. Nazarov, arxiv:1009.3400.

    Article  ADS  Google Scholar 

  10. D. V. Averin and J. P. Pekola, Phys. Rev. Lett. 104, 220601 (2010).

    Article  ADS  Google Scholar 

  11. Ya. I. Rodionov, I. S. Burmistrov, and N. M. Chtchelkatchev, Phys. Rev. B 82, 155317 (2010).

    Article  ADS  Google Scholar 

  12. F. Giazotto, T. T. Heikkil et al., Rev. Mod. Phys. 78, 217 (2006).

    Article  ADS  Google Scholar 

  13. R. Scheibner et al., New J. Phys. 10, 08306 (2008).

    Article  Google Scholar 

  14. E. A. Hoffmann et al., Nano Lett. 9, 779 (2009).

    Article  ADS  Google Scholar 

  15. I. S. Beloborodov, K. B. Efetov, A. Altland, and F. W. J. Hekking, Phys. Rev. B 63, 115109 (2001); K. B. Efetov and A. Tschersich, Phys. Rev. B 67,174205 (2003).

    Article  ADS  Google Scholar 

  16. M. Büttiker, H. Thomas, and A. Pretre, Phys. Lett. A 180, 364 (1993).

    Article  ADS  Google Scholar 

  17. M. Büttiker and A. M. Martin, Phys. Rev. B 61, 2737 (2000).

    Article  ADS  Google Scholar 

  18. S. E. Nigg, R. López, and M. Büttiker, Phys. Rev. Lett. 97, 206804 (2006); M. Büttiker and S. E. Nigg, Phys. Rev. B 77, 085312 (2008).

    Article  ADS  Google Scholar 

  19. J. Gabelli, G. Feve, J. M. Berroir, et al., Science 313, 499 (2006).

    Article  ADS  Google Scholar 

  20. Z. Ringel, Y. Imry, and O. Entin-Wohlman, Phys. Rev. B 78, 165304 (2008).

    Article  ADS  Google Scholar 

  21. Hee Chul Park and Kang-Hun Ahn, Phys. Rev. Lett. 101, 116804 (2008).

    Article  ADS  Google Scholar 

  22. F. Persson, C. M. Wilson, M. Sandberg, et al., Nano Lett. 10, 953 (2010).

    Article  ADS  Google Scholar 

  23. C. Mora and K. Le Hur, Nature Phys. 6, 697 (2010).

    Article  ADS  Google Scholar 

  24. Ya. I. Rodionov, I. S. Burmistrov, and A. S. Ioselevich, Phys. Rev. B 80, 035332 (2009).

    Article  ADS  Google Scholar 

  25. R. Landauer, IBM J. Res. Dev. 1, 223 (1957).

    Article  MathSciNet  Google Scholar 

  26. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1963).

    MATH  Google Scholar 

  27. G. Mahan, Many Particle Physics (Plenum, New York, 2000).

    Google Scholar 

  28. A. Kamenev and A. Levchenko, Adv. Phys. 58, 197 (2009).

    Article  ADS  Google Scholar 

  29. K. A. Matveev, Sov. Phys. JETP 72, 892 (1991).

    Google Scholar 

  30. A. Petkovi, N. M. Chtchelkatchev, T. I. Baturina, and V. M. Vinokur, Phys. Rev. Lett. 105, 187003 (2010).

    Article  ADS  Google Scholar 

  31. I. S. Burmistrov and A. M. M. Pruisken, Phys. Rev. Lett. 101, 056801 (2008); I. S. Burmistrov and A. M. M. Pruisken, Phys. Rev. B 81, 085428 (2010).

    Article  ADS  Google Scholar 

  32. E. Ben-Jacob, E. Mottola, and G. Schön, Phys. Rev. Lett. 51, 2064 (1983); C. Wallisser et al., Phys. Rev. B 66, 125314 (2002).

    Article  ADS  Google Scholar 

  33. H. Schoeller and G. Schön, Phys. Rev. B 50, 18436 (1994).

    Article  ADS  Google Scholar 

  34. Ya. I. Rodionov and I. S. Burmistrov, in preparation.

  35. N. S. Wingreen and Y. Meir, Phys. Rev. B 49, 11040 (1993).

    Article  ADS  Google Scholar 

  36. P. Wölfle, A. Rosch, J. Paaske, and J. Kroha, Adv. Solid State Phys. 42, 175 (2002).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ya. I. Rodionov.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rodionov, Y.I., Burmistrov, I.S. Out-of-equilibrium admittance of single electron box under strong Coulomb blockade. Jetp Lett. 92, 696–702 (2010). https://doi.org/10.1134/S0021364010220121

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364010220121

Keywords

Navigation