Abstract
The occurrence of superconductivity in the metallic phase of hydrogen is re-examined. While the band structure is quite free electron-like, the wavefunctions look like atomic wavefunctions near the protons. A consideration of the electron-phonon interaction reveals that the motion of the bound part of the electron wave-functions considerably decreases the effective electron-phonon coupling constant over previous estimates. The alternative derivation of the electron-phonon coupling constant in terms of phase shifts is also discussed and the effects of screening are considered. Again the estimate of Tc are found to be considerably reduced by screening effects.
Supported by the National Science Foundation, Air Force Office of Scientific Research, and the Energy Research and Development Administration.
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The authors of reference 6 use a Debye O obtained from the calculations of Caron(4). However, as discussed previously Caron’s treatment bases as it is on a free-electron model, overestimates the renormalization due to the electron-phonon interaction. Thus we believe that the true phonon frequencies are likely to be quite a bit higher.
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© 1976 Plenum Press, New York
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Gupta, R.P., Sinha, S.K. (1976). 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_35
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DOI: https://doi.org/10.1007/978-1-4615-8795-8_35
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