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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 71, Iss. 9 — Sep. 1, 1981
  • pp: 1094–1098

High-frequency high-temperature conductivity of metals

N. Tzoar  »View Author Affiliations


JOSA, Vol. 71, Issue 9, pp. 1094-1098 (1981)
http://dx.doi.org/10.1364/JOSA.71.001094


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Abstract

We calculate from first principles the high-frequency high-temperature conductivity of metals and find that to dominant order the temperature-dependent collision frequency is given by ν(T) = ν1(T/Tm) + ν2(T/Tm)2, where Tm represents the melting temperature and ν1 and ν2 are independent of T. The origin of the quadratic-temperature term arises from the contribution of the anharmonic ion potential near melting to the phonon spectra.

© 1981 Optical Society of America

Citation
N. Tzoar, "High-frequency high-temperature conductivity of metals," J. Opt. Soc. Am. 71, 1094-1098 (1981)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-71-9-1094


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References

  1. M. Sparks and E. Loh, Jr., J. Opt. Soc. Am. 69, 847–858 (1979); 69, 859–868 (1979).
  2. T. Holstein, Phys. Rev. 96, 535 (1954); V. L. Ginzburge and V. P. Silin, Sov. Phys. JETP 2, 46 (1956); P. N. Gurzhi, Sov. Phys. JETP 6, 352, 506 (1958); H. Ehrenriech and H. R. Philipp, Phys. Rev. 128, 1622 (1962).
  3. J. Bardeen and D. Pines, Phys. Rev. 99, 1140 (1955); see also J. Bardeen, Encyclopedia of Physics XV (Springer-Verlag, Berlin, 1956).
  4. A. Ron, Phys. Rev. 131, 2041 (1963).
  5. R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957); A. Ron and N. Tzoar, Phys. Rev. 131 (12) (1963); N. Tzoar, Phys. Rev. 132, 202 (1963); A. Ron and N. Tzoar, Phys. Rev. 133A, 1378 (1964).
  6. See, for example, M. Sparks and E. Loh, Jr., J. Opt. Soc. Am. 69, 847–858 (1979), Figs. 1 and 2.
  7. A. P. Miller and B. N. Brockhouse, Can. J. Phys. 49, 704 (1970).
  8. See, for example, J. A. Reissland, The Physics of Phonons (Wiley, New York, 1973).
  9. R. C. Shukla and E. R. Muller, Phys. Rev. B 21, 544 (1980). These authors calculated a similar effect to ours for the dc conductivity.

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