Skip to main content
SpringerLink
Log in

Topological Excitations in Arrays of Mesoscopic Systems

  • Conference paper
Single-Electron Tunneling and Mesoscopic Devices

Part of the book series: Springer Series in Electronics and Photonics ((SSEP,volume 31))

  • 315 Accesses

Abstract

We study the dynamics of topological excitation in a 1D array of tunnel junctions. The collective coordinates, which are used to describe solitons as relativistic particles, are presented, and are used to show the effect of dissipation and fluctuations. In particular, the dissipation correction to the Lorentz contraction and the relativistic correction to the diffusion are calculated. The results are applied to magnetic solitons and to single charge solitons. We estimate the conditions needed to observe quantum effects without classical analogies in the soliton dynamics.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. See for example P. Delsing, D. B. Haviland, T. Claeson, A. N. Korotov and K. K. Likharev; G. Schön; H. S. J. van der Zant, F. C. Fritschy, W. J. Elion, L. J. Geerligs and J. E. Mooij; R. D. Paramentier and I. Baronissi; N. F. Pedersen and D. K. Lyngby, in this volume and references therein.

    Google Scholar 

  2. D.J. Bergman, E. Ben-Jacob, Y. Imry and K. Maki, Phys. Rev. A27, 3345 (1983).

    ADS  Google Scholar 

  3. M. Amman, E. Ben-Jacob, Z. Hermon, Proceeding of “Single Charge Transfer”, Les Houches (1991), to be published.

    Google Scholar 

  4. D. V. Averin and K. K. Likharev, in “Quantum Effects in Small Disordered Systems”, ed. by B. Altshuler, P. Lee and R. Webb, Elsevier (1990).

    Google Scholar 

  5. E. Ben-Jacob, K. Mullen and M. Amman, Phys. Lett, bf A135, 390 (1989).

    Article  ADS  Google Scholar 

  6. M. Amman, E. Ben-Jacob and K. Mullen, Phys. Lett. A142, 16 (1989).

    Google Scholar 

  7. R. Rajaraman, Solitons and Instantons, North Holland, (1982).

    MATH  Google Scholar 

  8. E. Ben-Jacob, D. J. Bergmann, B. J. Matkowsky and Z. Schuss, Phys. Rev. A26, 2805 (1982).

    Article  ADS  Google Scholar 

  9. D. W. McLaughlin and A. C. Scott, Phys. Rev. A 18, 1652 (1978)

    Article  ADS  Google Scholar 

  10. M. Büttilcer and R. Landauer, in “Nonlinear Phenomena at Phase Transitions and Instabilities”, Plenum Press, N. Y. (1982).

    Google Scholar 

  11. P. M. Marcus and Y. Imry, Solid State Comm. 33, 345 (1980).

    Google Scholar 

  12. J. Mygind, private communication.

    Google Scholar 

  13. J. C. Swihart, J. Appl. Phys. 32, 461 (1961).

    Google Scholar 

  14. M. Amman, R. Wilkins, E. Ben-Jacob and R. C. Jacklevic, to be published.

    Google Scholar 

  15. M. Biittiker and R. Landauer, Phys. Rev. Lett. 49, 1739 (1982).

    Google Scholar 

  16. R. Wilkins, E. Ben-Jacob and R. C. Jacklevic, Phys. Rev. Lett. 63, 801 (1989).

    Google Scholar 

  17. See for example A. Davidson, B. Dueholm, B. Kryger and N. F. Pedersen, Phys. Rev. Lett. 55, 2059 (1985)

    Article  ADS  Google Scholar 

  18. A. Larsen, H. Dalsgaard Jensen and J. Mygind, Phys. Rev. B 43, 10179 (1991), and references therein.

    Article  ADS  Google Scholar 

  19. Y. Aharonov and D. Böhm, Phys. Rev. 115, 485 (1959).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  20. Y. Aharonov and A. Casher, Phys. Rev. Lett. 53, 319 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  21. M. V. Berry, Proc. Roy. Soc. London, A392, 45 (1984).

    ADS  Google Scholar 

  22. Z. Hermon and E. Ben-Jacob, to be published.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Michigan, Ann Arbor, MI, 48109, USA

    M. Amman

  2. School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Ramat-Aviv, IL-69978, Tel-Aviv, Israel

    E. Ben-Jacob & Z. Hermon

Authors
  1. M. Amman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. Ben-Jacob
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Z. Hermon
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Physikalisch-Technische Bundesanstalt, Institut Berlin, Abbestrasse 2-12, W-1000, Berlin 10, Fed. Rep. of Germany

    Hans Koch  & Heinz Lübbig  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Amman, M., Ben-Jacob, E., Hermon, Z. (1992). Topological Excitations in Arrays of Mesoscopic Systems. In: Koch, H., Lübbig, H. (eds) Single-Electron Tunneling and Mesoscopic Devices. Springer Series in Electronics and Photonics, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77274-0_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-77274-0_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77276-4

  • Online ISBN: 978-3-642-77274-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation