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(<i>T</i>) = ν<sub>1</sub>(<i>T</i>/<i>T<sub>m</sub></i>) + ν<sub>2</sub>(<i>T</i>/<i>Tm</i>)<sup>2</sup>, where <i>T<sub>m</sub></i> represents the melting temperature and ν<sub>1</sub> and ν<sub>2</sub> are independent of <i>T</i>. 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

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  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.

Bardeen, J.

J. Bardeen and D. Pines, Phys. Rev. 99, 1140 (1955); see also J. Bardeen, Encyclopedia of Physics XV (Springer-Verlag, Berlin, 1956).

Brockhouse, B. N.

A. P. Miller and B. N. Brockhouse, Can. J. Phys. 49, 704 (1970).

Holstein, T.

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).

Kubo, R.

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).

Loh, Jr., E.

See, for example, M. Sparks and E. Loh, Jr., J. Opt. Soc. Am. 69, 847–858 (1979), Figs. 1 and 2.

M. Sparks and E. Loh, Jr., J. Opt. Soc. Am. 69, 847–858 (1979); 69, 859–868 (1979).

Miller, A. P.

A. P. Miller and B. N. Brockhouse, Can. J. Phys. 49, 704 (1970).

Muller, E. R.

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.

Pines, D.

J. Bardeen and D. Pines, Phys. Rev. 99, 1140 (1955); see also J. Bardeen, Encyclopedia of Physics XV (Springer-Verlag, Berlin, 1956).

Reissland, J. A.

See, for example, J. A. Reissland, The Physics of Phonons (Wiley, New York, 1973).

Ron, A.

A. Ron, Phys. Rev. 131, 2041 (1963).

Shukla, R. C.

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.

Sparks, M.

See, for example, M. Sparks and E. Loh, Jr., J. Opt. Soc. Am. 69, 847–858 (1979), Figs. 1 and 2.

M. Sparks and E. Loh, Jr., J. Opt. Soc. Am. 69, 847–858 (1979); 69, 859–868 (1979).

Other

M. Sparks and E. Loh, Jr., J. Opt. Soc. Am. 69, 847–858 (1979); 69, 859–868 (1979).

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).

J. Bardeen and D. Pines, Phys. Rev. 99, 1140 (1955); see also J. Bardeen, Encyclopedia of Physics XV (Springer-Verlag, Berlin, 1956).

A. Ron, Phys. Rev. 131, 2041 (1963).

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).

See, for example, M. Sparks and E. Loh, Jr., J. Opt. Soc. Am. 69, 847–858 (1979), Figs. 1 and 2.

A. P. Miller and B. N. Brockhouse, Can. J. Phys. 49, 704 (1970).

See, for example, J. A. Reissland, The Physics of Phonons (Wiley, New York, 1973).

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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