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Theory of the thermoelectric power of model semimetals and semiconductors

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Zeitschrift für Physik B Condensed Matter

Abstract

We briefly discuss available theories as well as hypotheses behind numerical work for the thermoelectric power (TEP). In particular we emphasize shortcomings for comparing usual theoretical and numerical results to data onsemimetals and semiconductors in view of adapting our workto high temperature supercondutors. We extend previous theoretical work-based on Ziman formalism to take into accountmultiband structure anddifferent types of carriers. To considerelastic andinelastic electron scattering mechanisms by phononson the same footing is emphasized.

The case of uncompensated materials is illustrated. Outcome of theoretical results could not be guessed a priori and qualitative agreement with TEP data is improved.

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References

  1. Blatt, F.J., Schroeder, P.A., Foiles, C.A., Greig, P.: Thermoelectric Power of Metals. New York: Plenum 1976

    Google Scholar 

  2. Jonson, M., Mahan, G.D.: Phys. Rev. B21, 4223 (1981)

    Google Scholar 

  3. Mott, N.F.: Proc. R. Soc. (London) Ser. A156, 368 (1936)

    Google Scholar 

  4. Allen, P.B., Pickett, W.E., Krakauer, H.: Phys. Rev. B37, 7482 (1988)

    Google Scholar 

  5. Allen, P.B., Pickett, W.E., Krakauer, H.: Phys. Rev. B36, 3926 (1987) and quoted ref. i.e., Allen, P.B., Beaulac, T.P., Khan, F.S., Butler, W.H., Pinski, F.J., Swihart, J.C. ibid34, 4331 (1986); Allen, P.B.: ibid.36, 2920 (1987)

    Google Scholar 

  6. Durczewski, K., Ausloos, M.: J. Magn. Magn. Mater.51, 230 (1985)

    Google Scholar 

  7. Ausloos, M., Durczewski, K.: J. Magn. Magn. Mater.53, 243 (1985)

    Google Scholar 

  8. Ziman, J.M.: Electrons and phonons, Chapter IX, Sect. 12. Oxford: Oxford University Press 1962

    Google Scholar 

  9. Ausloos, M.: J. Phys. A11, 1621 (1978)

    Google Scholar 

  10. Kubo, R., Yokota, M., Nakajima, S.: J. Phys. Soc. Jpn.12, 1203 (1957)

    Google Scholar 

  11. Aliev, F.G., Kozyrkov, V.V., Moshchalkov, V.V., Scolozdra, R.V., Durczewski, K.: Z. Phys. B—Condensed Matter80, 353 (1990)

    Google Scholar 

  12. Vilenkin, A., Taylor, P.L.: Phys. Rev. B18, 5280 (1978)

    Google Scholar 

  13. Kogan, Yu, Zhernov, A.P.: Zh. Eksp. Theor. Phys.60, 1832 (1971)

    Google Scholar 

  14. Durczewski, K.: Acta Phys. Pol. A59, 483 (1981)

    Google Scholar 

  15. Wilson, A.H.: The theory of metals. Cambridge: Cambridge, University Press

  16. Allen, P.B., Pickett, W.E., Krakauer, H. In: Novel superconductivity, p. 489. Wolf, S.A., Kresin, V.Z. (eds.). New York: Plenum Press 1987

    Google Scholar 

  17. Mott, N.F., Jones, H.: The theory of the properties of metals and alloys. New York: Dover 1958

    Google Scholar 

  18. Jonson, M., Mahan, G.D.: Phys. Rev. B42, 9350 (1990)

    Google Scholar 

  19. The Fermi-Dirac integrals are calculated from the procedure found in Cody, W.J., Thacher, H.C., Jr.: Math. Com.21, 30 (1967)

    Google Scholar 

  20. Paszkowski, S.: Appl. Math. (in press)

  21. Issi, J.P., Michenaud, J.P., Heremans, J.: Phys. Rev. B14, 5156 (1976)

    Google Scholar 

  22. Korner, N., Schoenes, J., Kaczorowski, D.: Helv. Phys. Acta62, 207 (1989)

    Google Scholar 

  23. Kaczorowski, D., Schoenes, J.: Solid State Commun74, 143 (1990)

    Google Scholar 

  24. Laurent Ch., Patapis, S.K., Green, S.M., Luo, H.L., Politis, C., Durczewski, K., Ausloos, M.: Mod. Phys. Lett. B3, 241 (1989)

    Google Scholar 

  25. Ausloos, M., Durczewski, K., Patapis, S.K., Laurent, Ch., Vanderschueren, H.W.: Solid State Commun65, 365 (1988)

    Google Scholar 

  26. We apologize for the omission of the important factor (k B T/EF) in the explicit expression forP (m)12 in (6.5) of [6]

  27. Blatt, F.J.: Physics of electronic conduction in solids, ch. 7–8. New York: McGraw Hill 1968

    Google Scholar 

  28. Nielsen, P.E., Taylor, P.L.: Phys. Rev. B10, 4061 (1974)

    Google Scholar 

  29. Holstein, T.: Ann. Phys. (NY)29, 410 (1964)

    Google Scholar 

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Durczewski, K., Ausloos, M. Theory of the thermoelectric power of model semimetals and semiconductors. Z. Physik B - Condensed Matter 85, 59–68 (1991). https://doi.org/10.1007/BF01387788

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  • DOI: https://doi.org/10.1007/BF01387788

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