Skip to main content

Bifurcations and Nonlinear Properties of the Bcs Gap Equation

  • Chapter
  • 228 Accesses

Abstract

By adopting the BCS strategy in a tight binding model for layered high-temperature superconductors, it is possible to get a remarkable agreement with a number of experimental facts1. Accordingly, a more detailed study of the nonlinear properties of the BCS gap equation is of interest. One way to proceed is to investigate the iterative solution of the BCS gap equation defining a nonlinear map which can be studied with the tools developed for nonlinear dynamics2.

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

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. T. Schneider and M.P. Soerensen, “Correlation between Hall Coefficient, Penetration Depth, Transition Temperature, Gap Anisotropy and Hole Concentration in Layered High-Temperature Superconductors”, submitted to Z. Phys. B.

    Google Scholar 

  2. M.P. Soerensen, T. Schneider and M. Frick, “Nonlinear Properties of the BCS Gap Equation”, presented at the NATO A.R.W. on “Microscopic Aspect of Nonlinearity in Condensed Matter”, Florence, Italy, June 7-13, 1990.

    Google Scholar 

  3. M. Golubitsky and D.G. Schaeffer, “Singularities and Groups in Bifurcation Theory”. Springer Verlag, New York Inc., 1985.

    MATH  Google Scholar 

  4. A.J. Leggett, Rev. Mod. Phys., 47(2):331 (1975).

    Article  ADS  Google Scholar 

  5. T. Schneider and M. Frick, “Experimental Constraints and Theory of Layered High-Temperature Superconductors”, Proceedings of the 16th Course “Earlier and Recent Aspects of Superconductivity” of the International School of Materials Science and Technology, Erice, Italy, July 4-16, 1989 (Springer Verlag).

    Google Scholar 

  6. T. Schneider, H. de Raedt, and M. Frick, Z. Phys. B76:3, 1989.

    Article  ADS  Google Scholar 

  7. J.R. Schrieffer, “Theory of Superconductivity”, The Benjamin/Cummings Publishing Company, Inc., Massachusetts, 1964.D

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer Science+Business Media New York

About this chapter

Cite this chapter

Soerensen, M.P. (1991). Bifurcations and Nonlinear Properties of the Bcs Gap Equation. In: Costabile, G., Pagano, S., Pedersen, N.F., Russo, M. (eds) Nonlinear Superconductive Electronics and Josephson Devices. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3852-3_32

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-3852-3_32

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6719-2

  • Online ISBN: 978-1-4615-3852-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics