Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Validity of the Born Approximation as Applied to Electron-Electron Scattering in Metals: Implications for Thermal Conductivity

Validity of the Born Approximation as Applied to Electron-Electron Scattering in Metals:... The frequently quoted result that the Born approximation overestimates electron-electron scattering in metals by a factor of 5 is found to be incorrect. We find for the screened Coulomb interaction V = e - k s r r that (i) the Born approximation overestimates the scattering cross section and the electron-electron contribution to the thermal resistivity by about a factor of 2; (ii) the cross section and the thermal resistivity are sensitive functions of the screening wave vector k s ; and (iii) neither the Thomas-Fermi nor the Bohm-Pines screening wave vector yields a thermal resistivity that agrees with recent experiments on the alkali metals. We conclude that knowledge of the appropriate interelectronic potential is considerably more important for calculating transport coefficients than the use of the Born approximation instead of the exact partial wave method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Validity of the Born Approximation as Applied to Electron-Electron Scattering in Metals: Implications for Thermal Conductivity

Physical Review B , Volume 8 (10) – Nov 15, 1973
6 pages

Loading next page...
 
/lp/american-physical-society-aps/validity-of-the-born-approximation-as-applied-to-electron-electron-Qt7QzkTurO

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
American Physical Society (APS)
Copyright
Copyright © 1973 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.8.4601
Publisher site
See Article on Publisher Site

Abstract

The frequently quoted result that the Born approximation overestimates electron-electron scattering in metals by a factor of 5 is found to be incorrect. We find for the screened Coulomb interaction V = e - k s r r that (i) the Born approximation overestimates the scattering cross section and the electron-electron contribution to the thermal resistivity by about a factor of 2; (ii) the cross section and the thermal resistivity are sensitive functions of the screening wave vector k s ; and (iii) neither the Thomas-Fermi nor the Bohm-Pines screening wave vector yields a thermal resistivity that agrees with recent experiments on the alkali metals. We conclude that knowledge of the appropriate interelectronic potential is considerably more important for calculating transport coefficients than the use of the Born approximation instead of the exact partial wave method.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Nov 15, 1973

There are no references for this article.