Skip to main content

Electron-Phonon Interaction and Superconductivity in Metallic Hydrogen

  • Chapter
Superconductivity in d- and f-Band Metals

Abstract

The energy bands of face-centered-cubic hydrogen at a rs value of 1.64 a.u. were calculated. This corresponds to a density of 3.65 × 102 3 hydrogen atoms/cm3 and would require pressures of the order of a megabar to achieve. We have calculated the electron-phonon matrix element using the formalism of Gaspari and Gyorffy and parameters derived from our calculations. Using various theoretical estimates of the phonon properties of metallic hydrogen we have calculated the electron-phonon coupling constant or mass enhancement factor, λ, and the superconducting transition temperature. Those calculations indicate that this system would be a superconductor with a transition temperature in excess of 200 K.

Research prepared for the U.S. Energy Research and Development Admininstration under contract AT(29-1)-789.

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

Access this chapter

eBook
USD 16.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. Wigner and H.B. Huntington, J. Chem. Phys. 3, 764 (1935).

    Article  CAS  Google Scholar 

  2. H. Beck and D. Strauss, Helvetica Physica Acta, 48, 655 (1975) for recent work and a fairly comprehensive reference list.

    CAS  Google Scholar 

  3. N.W. Ashcroft, Phys. Rev. Lett. 21, 1798 (1968).

    Article  Google Scholar 

  4. L.G. Caron, Phys. Rev. B9, 5025 (1974).

    Article  CAS  Google Scholar 

  5. A.C. Switendick, Int. J. Quantum Chemistry. 5, 459 (1971).

    Article  Google Scholar 

  6. B. Baranowski, T. Skoskiewicz, and A.W. Sxafranski, Fizika Nizkikh Temperatur 1, 616 (1975).

    CAS  Google Scholar 

  7. D. Papaconstantopoulos and B. Klein, Conf. Proceedings Low-Lying Lattice Vibrational Modes and their Relationship to Super-conductivity and Ferroelectricity, to be published.

    Google Scholar 

  8. R. Gupta and S.K. Sinha, this conference.

    Google Scholar 

  9. I.R. Gomersall and B.L. Gyorffy, Phys. Rev. Lett. 33, 1286 (1974).

    Article  CAS  Google Scholar 

  10. L.F. Mattheiss, J.H. Wood, and A.C. Switendick, Methods in Computational Physics (Academic Press, New York) Vol. 8.

    Google Scholar 

  11. L.F. Mattheiss, Phys. Rev. 133, A1399 (1964).

    Article  Google Scholar 

  12. J.C. Slater, Phys. Rev. 81, 385 (1951).

    Article  CAS  Google Scholar 

  13. F.E. Harris, L. Kumar, and H.J. Monkhorst, Phys. Rev. B7, 2550 (1973).

    Google Scholar 

  14. D.C. Golibersuch, Phys. Rev. 157, 532 (1967).

    Article  CAS  Google Scholar 

  15. S.K. Sinha, Phys. Rev. 169, 477 (1968).

    Article  Google Scholar 

  16. P.B. Allen and M.L. Cohen, Solid State Comm. 7, 677 (1969), J.M. Ziman, Phys. Rev. Lett. 8, 272 (1962).

    Article  CAS  Google Scholar 

  17. T.L. Loucks, “Augmented Plane Wave Method”, Benjamin, N.Y., 1967.

    Google Scholar 

  18. J.O. Dimmock, Solid State Phys., 26, 103 (1971).

    Article  CAS  Google Scholar 

  19. G.D. Gaspari and B.L. Gyorffy, Phys. Rev. Lett. 28, 801 (1972).

    Article  CAS  Google Scholar 

  20. W.L. McMillan, Phys. Rev. 167, 331 (1968).

    Article  CAS  Google Scholar 

  21. R.C. Dynes and J.M. Rowell, Phys. Rev. B11, 1884 (1975). These authors indicated the McMillan formula may underestimate Tc. In view of the uncertainties in phonon averages this result should be adequate for our purposes.

    Article  CAS  Google Scholar 

  22. R. Evans, G.D. Gaspari, and B.L. Gyorffy, J. Phys. F3, 39 (1973).

    Article  CAS  Google Scholar 

  23. I. R. Gomersall and B.L. Gyorffy, J. Phys. F. 4, 1204 (1974).

    Article  CAS  Google Scholar 

  24. B.M. Klein and D.A. Papaconstantopoulos, Phys. Rev. Lett. 32, 1193 (1974).

    Article  CAS  Google Scholar 

  25. R. Evans, V.K. Ratti, and B.L. Gyorffy, J. Phys. F 3, L199 (1973),

    Google Scholar 

  26. V.K. Ratti, R. Evans, and B.L. Gyorffy, J. Phys. F 4, 371 (1974).

    Article  CAS  Google Scholar 

  27. A.C. Switendick, Bull. Am. Phys. Soc. 20, 420 (1975).

    Google Scholar 

  28. W.E. Pickett, this conference.

    Google Scholar 

  29. K. Schwartz and P. Weinberger, J. Phys. C 8, L573 (1975).

    Article  Google Scholar 

  30. P.W. Anderson and W.L. McMillan in “Theory of Magnetism in Transition Metals”, Proceedings of the International School of Physics, “Enrico Fermi” edited by W. Marshall (Academic, New York, 1967) and Eqs. 2.16, 2. 20.

    Google Scholar 

  31. W.L. John, J. Phys. F 3, L231 (1973).

    Article  CAS  Google Scholar 

  32. D.A. Papaconstantopoulos and B.M. Klein, Phys. Rev. Lett. 35, 110 (1975).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Plenum Press, New York

About this chapter

Cite this chapter

Switendick, A.C. (1976). Electron-Phonon Interaction and Superconductivity in Metallic Hydrogen. In: Douglass, D.H. (eds) Superconductivity in d- and f-Band Metals. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8795-8_36

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-8795-8_36

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-8797-2

  • Online ISBN: 978-1-4615-8795-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics