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Theory of the Anomalous Skin Effect in Normal and Superconducting Metals

Mattis, D. C., Bardeen, J.·1958·Physical Review

Abstract

Chambers' expression for the current density in a normal metal in which the electric field varies over a mean free path is derived from a quantum approach in which use is made of the density matrix in the presence of scattering centers but in the absence of the field. An approximate expression used for the latter is shown to reduce to one derived by Kohn and Luttinger for the case of weak scattering. A general space-and time-varying electromagnetic interaction is treated by first-order perturbation theory. The method is applied to superconductors, and a general expression derived for the kernel of the Pippard integral for fields of arbitrary frequency. The expressions derived can also be used to discuss absorption of electromagnetic radiation in thin superconducting films.

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Research works printed but not linked: 16

  1. O. Klein, 1944, Arkiv Mat. Astron. Fysik, Ser. A, 31
  2. M. R. Schafroth, 1951, Helv. Phys. Acta, 24, 645
  3. J. Bardeen, 1956, Encyclopedia of Physics
  4. A. B. Pippard, 1954, Advances in Electronics
  5. D. C. Mattis, 1958, Phys. Rev., 111, 403, 10.1103/PhysRev.111.403 · doi:10.1103/physrev.111.403
  6. Bardeen, 1957, Phys. Rev., 108, 1175, 10.1103/PhysRev.108.1175 · DOI · Paper page
  7. R. Kubo, 1956, Can. J. Phys., 34, 1274, 10.1139/p56-140 · DOI · Paper page
  8. R. Kubo, 1957, J. Phys. Soc. Japan, 12, 570, 10.1143/JPSJ.12.570 · DOI · Paper page
  9. W. Kohn, 1957, Phys. Rev., 108, 590, 10.1103/PhysRev.108.590 · DOI · Paper page
  10. H. Nakano, 1956, Progr. Theoret. Phys. (Japan), 15, 77, 10.1143/PTP.15.77 · DOI
  11. M. Lax, 1958, Phys. Rev., 109, 1921, 10.1103/PhysRev.109.1921 · DOI
  12. P. R. Weiss, Phys. Rev.
  13. M. Lax, 1951, Revs. Modern Phys., 23, 287, 10.1103/RevModPhys.23.287 · DOI · Paper page
  14. R. E. Glover, III, 1957, Phys. Rev., 108, 243, 10.1103/PhysRev.108.243 · DOI · Paper page
  15. A. T. Forrester, 1958, Phys. Rev., 110, 769, 10.1103/PhysRev.110.776.2 · doi:10.1103/physrev.110.776.2
  16. M. Tinkham, 1958, Phys. Rev., 110, 771, 10.1103/PhysRev.110.771 · doi:10.1103/physrev.110.771

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Metadata

Authors
Mattis, D. C., & Bardeen, J.
Venue
Physical Review
Published
1958-07-15
Volume
111
Issue
2
Pages
412-417
ISSN
0031-899X (ISSN-L)
OpenAlex
W2051271822
Cited by
1,633
References
0
FWCI
6.65
Type
journal article
Language
en
Open access
closed

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Mattis, D. C., & Bardeen, J. (1958). Theory of the Anomalous Skin Effect in Normal and Superconducting Metals. Physical Review. https://doi.org/10.1103/physrev.111.412

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