Skip to main content

Scattering Theory of Dynamic Electrical Transport

  • Chapter

Part of the book series: Lecture Notes in Physics ((LNP,volume 690))

Abstract

We have developed a scattering matrix approach to coherent transport through an adiabatically driven conductor based on photon-assisted processes. To describe the energy exchange with the pumping filds we expand the Floquet scattering matrix up to linear order in driving frequency.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. Switkes, C.M. Marcus, K. Campman et al: Science 283, 1905 (1999)

    Article  ADS  Google Scholar 

  2. M. Büttiker, H. Thomas, A. Prětre: Z. Phys. B 94, 133 (1994)

    Article  ADS  Google Scholar 

  3. P.W. Brouwer: Phys. Rev. B 58, R10135 1998)

    Article  ADS  Google Scholar 

  4. D. Cohen: Phys. Rev. B 68, 201303 (2003)

    Article  ADS  Google Scholar 

  5. D.J. Thouless: Phys. Rev. B 27, 6083 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  6. B. Spivak, F. Zhou, M.T. Beal Monod: Phys. Rev. B 51, 13226 (1995)

    Article  ADS  Google Scholar 

  7. I.L. Aleiner, A.V. Andreev: Phys. Rev. Lett. 81, 1286 (1998)

    Article  ADS  Google Scholar 

  8. F. Zhou, B. Spivak, B. Altshuler: Phys. Rev. Lett. 82, 608 (1999)

    Article  ADS  Google Scholar 

  9. J.E. Avron, A. Elgart, G.M. Graf et al: Phys. Rev. B 62, R10618 (2000)

    Article  ADS  Google Scholar 

  10. J.E. Avron, A. Elgart, G.M. Graf et al: J. Stat. Phys. 116, 425 (2004)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  11. B. Wang, J. Wang, H. Guo: Phys. Rev. B 65, 073306 (2002)

    Article  ADS  Google Scholar 

  12. M. Moskalets, M. Büttiker: Phys. Rev. B 66, 035306 (2002)

    Article  ADS  Google Scholar 

  13. M. Moskalets, M. Büttiker: Phys. Rev. B 66, 205320 (2002)

    Article  ADS  Google Scholar 

  14. M.L. Polianski, P.W. Brouwer: Phys. Rev. B 64, 075304 (2001)

    Article  ADS  Google Scholar 

  15. M.G. Vavilov, L. DiCarlo, C.M. Marcus: Phys. Rev. B 71, 241309 (2005)

    Article  ADS  Google Scholar 

  16. M. Moskalets, M. Büttiker: Phys. Rev. B 69, 205316 (2004)

    Article  ADS  Google Scholar 

  17. P. Samuelsson, M. Büttiker: Phys. Rev. B 71, 245317 (2005)

    Article  ADS  Google Scholar 

  18. C.W.J. Beenakker, M. Titov, B. Trauzettel: Phys. Rev. Lett. 94, 186804 (2005)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this chapter

Cite this chapter

Büttiker, M., Moskalets, M. (2006). Scattering Theory of Dynamic Electrical Transport. In: Asch, J., Joye, A. (eds) Mathematical Physics of Quantum Mechanics. Lecture Notes in Physics, vol 690. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-34273-7_5

Download citation

Publish with us

Policies and ethics