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Electron-Phonon Scattering in Dirty Metals

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Localization, Interaction, and Transport Phenomena

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 61))

Abstract

In a clean metal, experiment and theory agree that inelastic electron-phonon collisions occur at a rate (kT)3/ħ3ωD 2. In a dirty metal the theory predicts a reduction of the collision-rate by a factor of kFℓ(kT/ħωD), provided that this factor is small; but in other cases there may also be an increase of this rate due to a participation of transverse phonons. The results obtained recently in weak localization experiments do not agree satisfactorily with this theory.

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References and Footnotes

  1. A.A. Abrikosov, L.P. Gorkov, and I. Ye. Dzyaloshinski: Quantum field theoretical methods in statistical physics. (Pergamon Press, Oxford 1965).

    Google Scholar 

  2. E. Abrahams, Inelastic scattering due to electron-electron interaction. This volume.

    Google Scholar 

  3. J.M. Ziman, Principles of the theory of solids (Cambridge, 1965); Ch. 7.

    Google Scholar 

  4. J. Bass, Adv. Phys. 21 431 (1972).

    Article  CAS  Google Scholar 

  5. T. Wegehaupt and R.E. Doezema, Phys. Rev. B

    Article  CAS  Google Scholar 

  6. J.E. Mooij and T.M. Klapwijk, Inelastic lifetime of conduction electrons as determined by nonlocalization methods. This volume.

    Google Scholar 

  7. G. Bergmann, Phys. Rep. 27C, 161 (1976), See also Ref. 8.

    Google Scholar 

  8. B. Keck and A. Schmid, J. Low Temp Phys. 24, 611 (1976).

    Article  CAS  Google Scholar 

  9. First of all, only collisions with energy-transfer ω ≥ 1/τφ contribute. This modification is irrelevant for phonons. Secondly, an energy average <ℓnτ(E,T)> in the range |E| ∿ kT should be computed. Only changes of order 10-1 are expected.

    Google Scholar 

  10. A.B. Pippard, Phil. Mag. 46, 1106 (1955).

    Google Scholar 

  11. T. Tsuneto, Phys. Rev. 2l, 402 (1960).

    Google Scholar 

  12. A. Schmid, Z. Phys. 259, 421 (1973).

    Article  CAS  Google Scholar 

  13. G. Bergmann, Phys. Rev. B 28, 515 (1983) (see also: Phys. Rep. 107, 1 (1984)).

    Article  CAS  Google Scholar 

  14. R.P. Peters and G. Bergmann, Dependence of the phase coherence time on the resistivity in disordered films. This conference.

    Google Scholar 

  15. D.E. Prober, S. Wind and P. Santhanan, Fluctuation and localization effects in quasi-one-dimensional metallic structures. This volume.

    Google Scholar 

  16. W. Dietsche, H. Kinder, J. Mattes and H. Wühl, Phys. Rev. Lett. 45, 1332 (1980).

    Article  CAS  Google Scholar 

  17. R.J. Elliott, J.A. Krumhansl, and P.L. Leath, Rev. Mod. Phys. 46 465 (1974).

    Article  CAS  Google Scholar 

  18. A. Schmid, Z. Phys. 271, 251 (1974).

    Article  CAS  Google Scholar 

  19. E. Abrahams, P.W. Anderson, P.A. Lee and T.V. Ramakrishnan, Phys. Rev. B 24, 6783 (1981).

    Article  CAS  Google Scholar 

  20. J. Rammer and A. Schmid, Destruction of phase-coherence by electron-phonon interaction in weakly-disordered conductors. This conference and to be published.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, Postfach 6380, D-7500, Karlsruhe, Fed. Rep. of Germany

    Albert Schmid

Authors
  1. Albert Schmid
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Editor information

Editors and Affiliations

  1. Physikalisch-Technische Bundesanstalt Braunschweig, Postfach 3345, D-3300, Braunschweig, Fed. Rep. of Germany

    Bernhard Kramer

  2. Kernforschungsanlage Jülich, Institut für Festkörperforschung, Postfach 1913, D-5170, Jülich, Fed. Rep. of Germany

    Gerd Bergmann

  3. Laboratorium voor Vaste Stof-Fysika en Magnetisme, Celestijnenlaan 200 D, B-3030, Leuven, Belgium

    Yvan Bruynseraede

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© 1985 Springer-Verlag Berlin Heidelberg

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Schmid, A. (1985). Electron-Phonon Scattering in Dirty Metals. In: Kramer, B., Bergmann, G., Bruynseraede, Y. (eds) Localization, Interaction, and Transport Phenomena. Springer Series in Solid-State Sciences, vol 61. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82516-3_21

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  • DOI: https://doi.org/10.1007/978-3-642-82516-3_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82518-7

  • Online ISBN: 978-3-642-82516-3

  • eBook Packages: Springer Book Archive

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