Skip to main content
SpringerLink
Log in

A Soffer-Cottey model for the galvanomagnetic properties of thin polycrystalline metal films

  • Papers
  • Published:
Journal of Materials Science Aims and scope Submit manuscript

Abstract

Theoretical equations for the galvanomagnetic parameters of thin polycrystalline metal films are derived within the frameworks of the Soffer-Cottey model for electron scattering at rough surfaces and of the three-dimensional model for electron scattering at grain boundaries. Influences of the surface roughness and of the strength of the transverse magnetic field are investigated, showing the absence of oscillations in the transport parameters with increasing magnetic field even for very thin films with rough surfaces. In the limits of small reduced thicknesses and weak magnetic fields, analytical expressions for the Hall coefficient and for the electrical conductivity are proposed in order to provide an easier experimental determination of the roughness and grain parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. R. Tellier and A. J. Tosser, “Size Effect in Thin Films” (Elsevier, Amsterdam, 1982).

    Google Scholar 

  2. G. Govindaraj and V. Devanathan, Phys. Rev. B 32 (1985) 2628.

    Article  CAS  Google Scholar 

  3. T. W. Preist and J. R. Sambles, J. Phys. F., Met. Phys. 16 (1986) 2119.

    Article  CAS  Google Scholar 

  4. C. R. Tellier, J. Mater. Sci. 22 (1987) 2906.

    Article  Google Scholar 

  5. Idem., ibid. 23 (1988) 1464.

    Article  CAS  Google Scholar 

  6. K. Fuchs, Proc. Cambridge Phil. Soc. 34 (1938) 100.

    Article  CAS  Google Scholar 

  7. E. H. Sondheimer, Phys. Rev. 80 (1950) 401.

    Article  Google Scholar 

  8. J. R. Sambles and K. C. Elsom, J. Phys. D 15 (1982) 1459.

    Article  CAS  Google Scholar 

  9. F. Warkusz, Thin Solid Films 148 (1987) 343.

    Article  CAS  Google Scholar 

  10. S. Soffer, J. Appl. Phys. 38 (1967) 1710.

    Article  CAS  Google Scholar 

  11. A. A. Cottey, Thin Solid Films 1 (1967/68) 297.

    Article  Google Scholar 

  12. K. Forsvoll and I. Holwech, Phil. Mag. 9 (1964) 435.

    Article  Google Scholar 

  13. M. Ineou, Y. Tamakj and H. Yagi, J. Appl. Phys. 45 (1974) 1562.

    Article  Google Scholar 

  14. C. M. Hurd, “The Hall Effect in Metals and Alloys” (Plenum, London, 1982).

    Google Scholar 

  15. A. Gangulee, J. Appl. Phys. 43 (1972) 3943.

    Article  Google Scholar 

  16. U. Admon and A. Bar-Or, D. Treves, ibid. 44 (1973) 2300.

    Article  CAS  Google Scholar 

  17. R. H. Cornely and T. A. Ali, ibid. 49 (1978) 4094.

    Article  CAS  Google Scholar 

  18. T. T. Sheng, R. B. Marcus, F. Alexander and W. A. Reed, Thin Solid Films 14 (1972) 289.

    Article  CAS  Google Scholar 

  19. P. A. B. Toombs and P. Bennett, J. Appl. Phys. 39 (1968) 2948.

    Article  CAS  Google Scholar 

  20. V. Damodara Das and J. C. Mohanty, ibid. 54 (1983) 977.

    Article  CAS  Google Scholar 

  21. D. Dayal, P. Rudolf and P. Wissmann, Thin Solid Films 79 (1981) 193.

    Article  CAS  Google Scholar 

  22. S. Sen, R. K. Nandi and S. P. Sen Gupta, ibid. 48 (1978) 1.

    Article  CAS  Google Scholar 

  23. M. Murakani, ibid. 59 (1979) 105.

    Article  Google Scholar 

  24. G. J. Van Gurp, ibid. 38 (1976) 295.

    Article  Google Scholar 

  25. H. T. G. Nilsson, B. Andersson and S. E. Karlsson, ibid. 63 (1979) 87.

    Article  CAS  Google Scholar 

  26. S. D. Mukherjee, in “Reliability and Degradation”, edited by M. J. Howes and D. V. Morgan (Wiley, Chichester, 1981) Ch. 1.

    Google Scholar 

  27. R. Suri, A. P. Thakoor and K. L. Chopra, J. Appl. Phys. 46 (1975) 2574.

    Article  CAS  Google Scholar 

  28. C. R. Tellier, J. Mater. Sci. Lett. 3 (1984) 464.

    Article  CAS  Google Scholar 

  29. P. Beckmann and A. Spizzichino, “The Scattering of Electromagnetic Waves from Rough Surfaces” (Pergamon, London, 1963).

    Google Scholar 

  30. C. R. Tellier, C. R. Pichard and A. J. Tosser, Thin Solid Films 61 (1979) 349.

    Article  Google Scholar 

  31. J. M. Ziman, “Electrons and Phonons” (Oxford University Press, London, 1962).

    Google Scholar 

  32. C. R. Pichard, A. J. Tosser and C. R. Tellier, J. Mater. Sci. 16 (1981) 451.

    Article  CAS  Google Scholar 

  33. C. R. Pichard, C. R. Tellier and A. J. Tosser, Thin Solid Films 62 (1979) 189.

    Article  CAS  Google Scholar 

  34. C. R. Tellier, M. Rabel and A. J. Tosser, J. Phys. F., Met. Phys. 8 (1978) 2357.

    Article  CAS  Google Scholar 

  35. C. R. Tellier, J. Mater. Sci. 20 (1985) 4514.

    Article  Google Scholar 

  36. V. V. Gridin, W. R. Datars and Y. B. Ning, J. Phys. Con. Mater. 1 (1989) 713.

    Article  CAS  Google Scholar 

  37. R. E. Hummel and H. F. Geier, Thin Solid Films 25 (1977) 335.

    Article  Google Scholar 

  38. C. R. Tellier and A. J. Tosser, ibid. 43 (1977) 261.

    Article  CAS  Google Scholar 

  39. C. R. Tellier, Vacuum 28 (1978) 321.

    Article  CAS  Google Scholar 

  40. A. J. Tosser, C. R. Tellier and J. Launey, ibid. 27 (1977) 261.

    Article  Google Scholar 

  41. J. M. Chauvineau and C. Pariset, Surf. Sci. 36 (1973) 1955.

    Article  Google Scholar 

  42. P. Wissmann, Thin Solid Films 6 (1970) R67.

    Article  CAS  Google Scholar 

  43. J. M. Heras and E. E. Mola, ibid. 35 (1976) 75.

    Article  CAS  Google Scholar 

  44. G. J. Van Gurp, J. Appl. Phys. 46 (1975) 1922.

    Article  Google Scholar 

  45. J. M. Heras and E. V. Albano, Thin Solid Films 106 (1983) 275.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Chronométrie, Electronique et Piézoélectricité, Ecole Nationale supérieure de mécanique et des microtechniques, Route de Gray, La Bouloie, 25030, Besançon Cedex, France

    C. R. Tellier

Authors
  1. C. R. Tellier
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tellier, C.R. A Soffer-Cottey model for the galvanomagnetic properties of thin polycrystalline metal films. J Mater Sci 26, 1421–1430 (1991). https://doi.org/10.1007/BF00544649

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00544649

Keywords

Search

Navigation