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Deviations from Matthiessen’s Rule Due to Surface Scattering: Aluminium

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Recent Developments in Condensed Matter Physics

Abstract

An analysis of experimental data from various authors on the electrical resistivity of aluminium foils and wires shows that the DMR due to surface scattering varies linearly with the residual surface resistivity ρ so = ρo - ρo (bulk) and is the same for residual bulk resistivities ranging from 0.1–1 nΩcm. The temperature dependence of this DMR is consistent with a T2-dependence below 20 K, and we estimate the coefficient of T to be of the order of 10-3ρ so ΩcmK-2. Sample dependent anomalies in this temperature dependence considerably complicate an estimate of the size effect below 4 K.

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References

  1. M.R. Cimberle, G. Bobel and C. Rizzuto, Advances in Physics 23, 639–71 (1974)

    Article  ADS  Google Scholar 

  2. A.D. Caplin and C. Rizzuto, Journal of Physics C : Solid State Physics 3 L117–20 (1970).

    Article  ADS  Google Scholar 

  3. J. Bass (review article on DMR), Advances in Physics 21, 431–604 (1972).

    Article  ADS  Google Scholar 

  4. J.A. Rowlands and S.B. Woods, Journal of Physics F : Metal Physics 8, 1929–39 (1978)

    Article  ADS  Google Scholar 

  5. T. Fujita and T. Ohtsuka, Journal of Low Temperature Physics 29, 333–44 (1977).

    Article  ADS  Google Scholar 

  6. See the following review articles of size effects G. Brändli and J.L. Olsen, Materials Science and Engineering 4, 61–83 (1969)

    Article  Google Scholar 

  7. D.C. Larson, Physics of Thin Films, Vol.6 (New York : Academic Press) 81–149 (1971).

    Google Scholar 

  8. J.B. van Zytveld and J. Bass, Physical Review 177, 1072–82 (1969).

    Article  ADS  Google Scholar 

  9. B.N. Aleksandrov, Zh.Eksp. i Teor.Fiz. 43, 399–410 (1962)

    Google Scholar 

  10. Soviet Physics JETP 16, 286–94 (1963).

    ADS  Google Scholar 

  11. R. Reich, Thesis (1965) Paris.

    Google Scholar 

  12. R. Risnes, Philosophical Magazine 21, 591–97 (1970).

    Article  ADS  Google Scholar 

  13. I. Holwech and J. Jeppesen, Philosophical Magazine 15, 217–28 (1967).

    Article  ADS  Google Scholar 

  14. Yu N. Chiang, V.V. Eremenko and O.G. Shevchenko, Zh. Eksp. i Teor.Fiz. 54, 1321–32 (1968)

    Google Scholar 

  15. Soviet Physics JETP 27, 706–12 (1968).

    ADS  Google Scholar 

  16. A. von Bassewitz and E.N. Mitchell, Physical Review 182, 712–16 (1969).

    Article  ADS  Google Scholar 

  17. R. Risnes and V. Sollien, Philosophical Magazine 20, 895–905 (1969).

    Article  ADS  Google Scholar 

  18. J.L. Olsen, Helvetica Physica Acta 31, 713–26 (1958).

    Google Scholar 

  19. F.J. Blatt and H.G. Satz, Helvetica Physica Acta 33, 1007–20 (1960).

    Google Scholar 

  20. P. Cotti, E.M. Fryer and J.L. Olsen, Helvetica Physica Acta 37, 585–88 (1964).

    Google Scholar 

  21. J.C. Garland and D.J. van Harlingen, Journal of Physics F : Metal Physics 8 ,117–124 (1978)

    Article  ADS  Google Scholar 

  22. J.M.J.M. Ribot, J. Bass, H. van Kempen and P. Wyder, Journal of Physics F : Metal Physics 9, L117–122 (1979).

    Article  ADS  Google Scholar 

  23. F.J. Blatt, Physics of Condensed Mattery 9, 137 (1969).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institut de Physique Expérimentale, I ’Université de Lausanne, CH-1015, Lausanne, Switzerland

    J. van der Maas & R. Huguenin

  2. Istituto di Scienze Fisiche and Gruppo Nazionale di Struttura della Materia, C.N.R., Genova, Italy

    C. Rizzuto

Authors
  1. J. van der Maas
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  2. R. Huguenin
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  3. C. Rizzuto
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Editor information

Editors and Affiliations

  1. University of Antwerpen (RUCA and UIA), Belgium

    J. T. Devreese (Chairman of the Conference, Professor of Theoretical Physics) (Chairman of the Conference, Professor of Theoretical Physics)

  2. University of Antwerpen (RUCA), Belgium

    L. F. Lemmens  & V. E. Van Doren  & 

  3. University of Antwerpen (UIA), Belgium

    J. Van Royen

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© 1981 Plenum Press, New York

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van der Maas, J., Huguenin, R., Rizzuto, C. (1981). Deviations from Matthiessen’s Rule Due to Surface Scattering: Aluminium. In: Devreese, J.T., Lemmens, L.F., Van Doren, V.E., Van Royen, J. (eds) Recent Developments in Condensed Matter Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3899-4_9

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  • DOI: https://doi.org/10.1007/978-1-4684-3899-4_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-3901-4

  • Online ISBN: 978-1-4684-3899-4

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