- Access by Xinjiang University
Theory of Impurity Resistance in Metals
Phys. Rev. 120, 714 – Published 1 November, 1960
DOI: https://doi.org/10.1103/PhysRev.120.714
Abstract
A many-body technique is developed for the calculation of the dc resistivity of a Fermi fluid in the presence of a few, randomly scattered, fixed, impurities. A certain class of graphs yields an expression for the conductivity which is similar in form to the standard classical transport coefficient; but the decay time is determined by the scattering of single-particle-like excitations at the Fermi surface by screened impurities. A propagator method similar to that used in field theory is employed throughout the paper, and the perturbation-theoretic interpretation of this method is examined in some detail.
References (14)
- R. Kubo, J. Phys. Soc. Japan 12, 570-586 (1957)
- D. A. Greenwood, Proc. Phys. Soc. (London) 71, 585 (1958)
- S. F. Edwards, Phil. Mag. 3, 33, 1020 (1958)
- W. Kohn and J. M. Luttinger, Phys. Rev. 108, 590 (1957)
- J. Goldstone, Proc. Roy. Soc. (London) A239, 267 (1957)
- J. Hubbard, Proc. Roy. Soc. (London) A240, 539 (1957)
- J. Langer and S. Vosko, J. Phys. Chem. Solids 12, 196 (1960)
- J. J. Quinn, R. A. Ferrell, and A. A. Maradudin (unpublished)
- V. M. Galitskii and A. B. Migdal, J. Exptl. Theoret. Phys. (U.S.S.R.) 34, 189 (1958) [translation: Soviet Phys.-JETP 34(7), 96 (1958)]
Omitted endnote
- J. M. Luttinger and J. C. Ward, Phys. Rev. 118, 1417 (1960) [13]
Omitted endnote
- M. Gell-Mann and M. L. Goldberger, Phys. Rev. 91, 398 (1953)
- L. Van Hove, Physica 21, 901 (1955) 22, 343 (1956) N. M. Hugenholtz, 23, 481 (1957)