Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Quantum-gas model estimate for wide range of superconducting critical temperatures

  • 32 Accesses

  • 12 Citations

Abstract

A quantum mechanical model requiring only strong quantum interaction for a charged particle gas estimates the superconducting transition temperature for wide-ranging states of matter. A general equation is derived which estimates the critical temperatureT c the energy gap, and the coherence length for the classical metallic superconductors, heavy-electron superconductors, the perovskites, metallic hydrogen, and neutron stars. Estimates forT c , the coherence length, and the energy gap which are model independent for coupling mechanisms agree well with accepted values for these materials. Estimates are made for threedimensional quasi-two and quasi-one-dimensional states.

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

References

  1. Bardeen, J., Cooper L. N., and Schrieffer, J. R. (1957),Physical Review 108, 1175.

  2. Bednorz, J. G., and Muller, K. A. (1986).Zeitschrift für Physik B,64, 189.

  3. Fisk, Z., Rott, H., Rice, T. M., and Smith, J. L. (1986).Nature 320, 124.

  4. Fisk, Z., Hess, D. W., Pethick, C. J., Pines, D., Smith, J. L., Thompson, J. D., and Willis, J. O. (1988).Science 239, 33.

  5. Ginzburg, V. L. (1969).Com. Astrophysics and Space Physics 1, 81.

  6. Ginzburg, V. L., and Kirzhnits, D. A. (1965).Soviet Physics-JETP 20, 1346.

  7. Huang, C. Y., Dries, L. J., Hor, P. H., Meng, R. L., Chu, C. W., and Frankel, R. B. (1987).Nature 328, 403.

  8. Jaffe, J., and Ashcroft, N. W. (1983).Physical Review B 27, 5852.

  9. Johnston, D. C., Prakash, H., Zachariasen, W. H., and Viswanathan, V. (1973).Materials Research Bulletin,8, 777.

  10. Overhauser, A. W. (1987).Physical Review B 35, 411.

  11. Rabinowitz, M. (1987). InProceedings: EPRI Workshop on High-Temperature Superconductivity.

  12. Sheng, Z. Z., and Hermann, A. M. (1988).Nature 322, 55.

  13. Sleight, A. W., Gillson, J. L., and Bierstedt, P. E. (1975).Solid State Communications,17, 27.

  14. Wu, M. K., Ashburn, J. R., Torng, C. T., Htor, P. H., Meng, R. H., Gao, L. Huang, Z. J., Wang, Y. Q., and Chu, C. W. (1987).Physical Review Letters 58, 908.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Rabinowitz, M. Quantum-gas model estimate for wide range of superconducting critical temperatures. Int J Theor Phys 28, 137–146 (1989). https://doi.org/10.1007/BF00669805

Download citation

Keywords

  • Perovskite
  • Quantum Field Theory
  • Charged Particle
  • Critical Temperature
  • Neutron Star