, Volume 41, Issue 9, pp 1021–1026

On the temperature dependence of the thermoelectric power in disordered semiconductors

Electronic and Optical Properties of Semiconductors


In the context of the thermodynamics of irreversible processes, general expressions for the temperature dependence of the thermoelectric power in the region of hopping conductivity in disordered materials at low temperatures are derived. The effect of degeneracy of impurity levels on the thermoelectric power is taken into account. On the basis of the results, the experimental data on the thermoelectric power in amorphous and impurity-containing semiconductors are discussed.

PACS numbers

72.20.Ee 72.20.Pa 


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  1. 1.
    N. F. Mott and E. A. Davis, Electronic Processes in Non-Crystalline Materials, 2nd ed. (Clarendon, Oxford, 1979; Mir, Moscow, 1982).Google Scholar
  2. 2.
    B. I. Shklovskiĭ and A. L. Éfros, Electronic Properties of Doped Semiconductors (Nauka, Moscow, 1979; Springer, New York, 1984).Google Scholar
  3. 3.
    V. Ambegaokar, B. I. Halperin, and J. S. Langer, Phys. Rev. B 4, 2612 (1971).CrossRefADSGoogle Scholar
  4. 4.
    A. Miller and E. Abrahams, Phys. Rev. 120, 745 (1960).MATHCrossRefADSGoogle Scholar
  5. 5.
    I. P. Zvyagin, in Hopping Transport in Solids, Ed. by M. Pollak and B. I. Shklovskii (Elsevier, Amsterdam, 1991), p. 143; Phys. Status Solidi B 58, 443 (1973).Google Scholar
  6. 6.
    V. L. Bonch-Bruevich, I. P. Zvyagin, R. Keiper, A. G. Mironov, R. Enderlein, and B. Esser, Electron Theory of Disordered Semiconductors (Nauka, Moscow, 1981) [in Russian].Google Scholar
  7. 7.
    T. E. Whall, J. Phys. C: Solid State Phys. 14, 887 (1981).CrossRefADSGoogle Scholar
  8. 8.
    V. Demishev, M. V. Kondrin, A. A. Pronin, et al., Pis’ma Zh. Éksp. Teor. Fiz. 68, 801 (1998) [JETP Lett. 68, 842 (1998)].ADSGoogle Scholar
  9. 9.
    M. A. Buhannic, M. Danot, P. Colombet, et al., Phys. Rev. B 34, 4790 (1986).CrossRefADSGoogle Scholar
  10. 10.
    C.-J. L. Liu and H. Yamauchi, Phys. Rev. B 51, 11826(1995).CrossRefADSGoogle Scholar
  11. 11.
    K. R. Krylov, A. I. Ponomarev, V. I. Tsidilkovskii, et al., Phys. Lett. A 131, 203 (1988).CrossRefADSGoogle Scholar
  12. 12.
    A. B. Kaiser, Phys. Rev. B 40, 2806 (1989).CrossRefADSGoogle Scholar
  13. 13.
    H. Graener, M. Rosenberg, T. E. Whall, and M. R. Jones, Philos. Mag. 40, 389 (1979).CrossRefGoogle Scholar
  14. 14.
    I. Ravich and S. A. Nemov, Fiz. Tekh. Poluprovodn. (St. Petersburg) 36, 3 (2002) [Semiconductors 36, 1 (2002)].Google Scholar
  15. 15.
    R. R. Heikes, A. A. Maradudin, and R. C. Miler, Ann. Phys. (Paris) 8, 773 (1963).Google Scholar
  16. 16.
    M. Cutler and N. F. Mott, Phys. Rev. 181, 1336 (1969).CrossRefADSGoogle Scholar
  17. 17.
    C. O. Yoon, M. Reghu, D. Moses, et al., Phys. Rev. B 48, 14080 (1993).CrossRefADSGoogle Scholar
  18. 18.
    A. J. Lewis, Phys. Rev. B 13, 2565 (1976).CrossRefADSGoogle Scholar
  19. 19.
    A. J. Lewis, Phys. Rev. B 14, 658 (1976).CrossRefADSGoogle Scholar
  20. 20.
    A. Bunde and J. W. Kantelhardt, in Diffusion in Condensed Matter, Ed. by J. Karger and R. Haberlandt (Springer, Berlin, 2005).Google Scholar
  21. 21.
    D. Kondepudi and I. Prigogine, Modern Thermodynamics (Odile Jacobs, New York, 1999; Mir, Moscow, 2002).Google Scholar
  22. 22.
    V. V. Kosarev, Fiz. Tekh. Poluprovodn. (Leningrad) 8,1378 (1974) [Sov. Phys. Semicond. 8, 897 (1974)].Google Scholar
  23. 23.
    N.-L. H. Liu and D. Emin, Phys. Rev. B 30, 3250 (1984).CrossRefADSGoogle Scholar
  24. 24.
    J. S. Blakemore, Semiconductor Statistics (Pergamon, Oxford, 1962; Mir, Moscow, 1964).MATHGoogle Scholar
  25. 25.
    A. G. Andreev, A. G. Zabrodskiĭ, I. P. Zvyagin, and S. V. Egorov, Fiz. Tekh. Poluprovodn. (St. Petersburg) 31, 1174 (1997) [Semiconductors 31, 1008 (1997)].Google Scholar
  26. 26.
    L. Yu. Matsuĭ, L. L. Vovchenko, and I. V. Ovsienko, Fiz. Nizk. Temp. 26, 70 (2000).Google Scholar
  27. 27.
    O. E. Parfenov, A. A. Nikonov, and S. N. Barilo, Pis’ma Zh. Éksp. Teor. Fiz. 76, 719 (2002) [JETP Lett. 76, 616 (2002)].Google Scholar
  28. 28.
    O. E. Parfenov and A. A. Nikonov, Pis’ma Zh. Éksp. Teor. Fiz. 80, 284 (2004) [JETP Lett. 80, 253 (2004)].Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  1. 1.Russian Scientific CenterKurchatov InstituteMoscowRussia

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