Skip to main content
Log in

Is a Superconductor a Perfect Insulator?

  • Original Paper
  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

It is suggested that the difference between the normal and the superconducting state is that the individual electronic states in the proximity of the Fermi level are standing wave states. Superconductivity may then be understood as a condensation of standing wave states. All other properties of superconductors and specifically their electrodynamic behavior are direct consequences of this single property. The London relation may be understood as a microscopic relation of single particles. The understanding gained provides a path for design of new superconductors.

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.

Fig. 1

Similar content being viewed by others

References

  1. London, F.: Superfluids. Wiley, New York (1950)

    MATH  Google Scholar 

  2. Bardin, J., Cooper, L.N., Schrieffer, J.R.: 108, 1175 (1957). Phys. Rev. 106, 162 (1957)

    Article  ADS  MathSciNet  Google Scholar 

  3. Schrieffer, J.R.: Theory of Superconductivity. Benjamin Cummings, London (1964)

    MATH  Google Scholar 

  4. Fröhlich, H.: Phys. Rev. 79, 845 (1950)

    Article  ADS  Google Scholar 

  5. Cooper, L.N.: Phys. Rev. 104, 1189 (1956)

    Article  ADS  Google Scholar 

  6. Giaever, I.: Phys. Rev. Lett. 5(147), 464 (1960)

    Article  ADS  Google Scholar 

  7. R. W. Morse, Prog. Cryog., Vol. I, p. 220

  8. Hebel, L.C., Slichter, C.P.: Phys. Rev. 113, 1504 (1959)

    Article  ADS  Google Scholar 

  9. Josephson, B.D.: Phys. Lett. 1, 251 (1962)

    Article  ADS  Google Scholar 

  10. Anderson, P.W.: Phys. Chem. Solids. 11, 26 (1959)

    Article  ADS  Google Scholar 

  11. V. L. Ginsburg and L. D. Landau, JETP, 20 (1950); P. Gor’kov, JETP, 34, 735 (1958)

  12. Pippard, A.B.: Proc. Roy. Soc. London. A216, 547 (1953)

    ADS  Google Scholar 

  13. P. W. Anderson, Basic Notions on Condensed Matter Physics, West View Press, 1984, P.50

  14. Mahan, G.D.: Many Particle Physics. Plenum Press, New York (1990)

    Book  Google Scholar 

  15. Gatt, R.: PhD Theses. Chalmers, Goteborg (1996)

    Google Scholar 

  16. Panas, I., Gatt, R.: Chem. Phys. Lett. 259, 241 (1996)

    Article  ADS  Google Scholar 

  17. H. Thomas, private communication

  18. Gorter, C.J., Casimir, H.G.B.: Phys. Z. 35, 963 (1934)

    Google Scholar 

  19. Ginsburg, V.L., Landau, L.D.: JETP. 20, 1064 (1950)

    Google Scholar 

  20. Bednortz, J.G., Muller, K.A.: Z. Phys. B64, 189 (1986)

    Article  ADS  Google Scholar 

  21. Labbe, J., Bok, J.: Europhysics Lett. 3, 1225 (1987)

    Article  ADS  Google Scholar 

  22. A.A. Abrikosov, J. C. campuzano, K. Gofron, Physica C 214 (1993) 73

  23. Hirsh, J.E., Scalapino, D.J.: Phys. Rev. Lett. 56, 2735 (1986)

    ADS  Google Scholar 

  24. Friedel, J.: J. Phys. Condens. Matt. 1, 7757 (1989)

    Article  ADS  Google Scholar 

  25. R. S. Markiewicz, Int. J. Mod. Phys. B 5 (1991) 2037 and references therein

  26. Van Hove, L.: Phys. Rev. 89, 1189 (1953)

    Article  ADS  MathSciNet  Google Scholar 

  27. D. M. Newns et. al., Phys. Rev. Lett. 69 (1992) 1264 and references therein

  28. C. C. Tsui et. al., Phys. Rev. Lett., 69, 2134 (1992) and references therein

  29. Dessau et al., Phys. Reports, 253, 1 (1995) and references therein

  30. Gofron et. al., J. Phys. Chem. Solids, 54, 1193 (1993)

  31. Landau, L.: J. Phys. 11, 91 (1947)

    Google Scholar 

  32. Dagotto, E., Nazarenko, A., Boninsegni, M.: Phys. Rev. Lett. 73, 728 (1994)

    Article  ADS  Google Scholar 

  33. Bulut, N., Scalapino, D.J., White, S.R.: Phys. Rev. Lett. 73, 748 (1994)

    Article  ADS  Google Scholar 

  34. Hlubina, R., Rice, T.M.: Phys. Rev. B51, 9253 (1995)

    Article  ADS  Google Scholar 

  35. Markiewicz, R.S.: J. Phys. Chem. Solids. 58, 1179 (1997)

    Article  ADS  Google Scholar 

  36. McChesney, J.L., et al.: PRL. 104, 136803 (2010)

    Article  ADS  Google Scholar 

  37. Gouhong Li et al., Nature Physics 6, 109 (2010)

    Google Scholar 

  38. Cea, T., Walet, N.R., Guinea, F.: PRB. 100, 205113 (2019)

    Article  ADS  Google Scholar 

  39. Lu, D.H., Schmidt, M., Cummins, T.R., Schuppler, S., Lichtenberg, F., Bednorz, J.G.: PRL. 76, 4845 (1996)

    Article  ADS  Google Scholar 

  40. Shanyu Liu et.al., cond-mat arXiv:1205.4970

Download references

Acknowledgements

Avi Schiller is remembered warmly for intensive discussions and critical review of the formalism. Roger Kornberg is greatly appreciated for a critical review of the manuscript and very instructive remarks. Roald Hoffmann is greatly appreciated for a critical review of the manuscript. Robert Loughlin is acknowledged for stimulating discussions.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Refael Gatt.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gatt, R. Is a Superconductor a Perfect Insulator?. J Supercond Nov Magn 33, 1345–1355 (2020). https://doi.org/10.1007/s10948-019-05387-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-019-05387-z

Keywords

Navigation