Experimental Hall Effect Data for a Small-Polaron Semiconductor

  • P. Nagels


The current state of small-polaron theory is briefly reviewed. Experimental evidence for the existence of small polarons in reduced single crystals of lithium niobate, based on electrical conductivity, thermopower and Hall effect measurements, is presented. The transport coefficients of this material exhibit all the typical features of hopping motion of small polarons in the non-adiabatic regime. The drift mobility μ D is very low and manifests a thermally-activated temperature dependence. The Hall mobility μ H is greater than the drift mobility and increases exponentially with temperature dependences of μ D and μ H are in accord with that derived by Holstein and Friedman for small-polaron hopping.


Carrier Density Lithium Niobate Transport Coefficient Hall Mobility Hall Coefficient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    D. Emin, Aspects of the Theory of Small Polarons in Disordered Materials, in: “Electronic and Structural Properties of Amorphous Semiconductors,” P. G. Le Comber and J. Mort, eds., Academic Press, New York (1973), p. 261.Google Scholar
  2. 2.
    I. G. Austin and N. F. Mott, Adv. Phys. 18:41 (1969).ADSCrossRefGoogle Scholar
  3. 3.
    T. Holstein, Ann. Phys. (N.Y.) 8: 343 (1954).ADSCrossRefGoogle Scholar
  4. 4.
    D. Emin and T. Holstein, Ann. Phys. (N.Y.) 53:439 (1969).ADSCrossRefGoogle Scholar
  5. 5.
    L. Friedman and T. Holstein, Ann. Phys. (N.Y.) 21: 494 (1963).ADSCrossRefGoogle Scholar
  6. 6.
    D. Emin, Ann. Phys. (N.Y.) 64: 336 (1971).ADSCrossRefGoogle Scholar
  7. 7.
    T. Holstein, Phil. Mag. 27: 225 (1973).ADSCrossRefGoogle Scholar
  8. 8.
    D. Emin, Phys. Rev. B3:1321 (1971).ADSGoogle Scholar
  9. 9.
    A. Räuber, Chemistry and Physics of Lithium Niobate, in: “Current Topics in Materials Science, Vol. 1,” E. Kaldis, ed., North-Holland, Amsterdam (1978), p. 481.Google Scholar
  10. 10.
    K. Nassau and M. E. Lines, J. Appl. Phys. 41:533 (1970).ADSCrossRefGoogle Scholar
  11. 11.
    M. G. Clark, F. J. Disalvo, A. M. Glass and G. E. Peterson, J. Chem. Phys. 59:6029 (1973).CrossRefGoogle Scholar
  12. 12.
    D. Redfield and W. J. Burke, J. Appl. Phys. 45: 4566 (1974).ADSCrossRefGoogle Scholar
  13. 13.
    Z. I. Shapireo, S. A. Fedulov, Yu. N. Venevtsev and L. G. Rigerman, Sov. Phys. Cryst. 10:725 (1966).Google Scholar
  14. 14.
    G. Bergmann, Solid State Commun. 6:77 (1968).ADSCrossRefGoogle Scholar
  15. 15.
    P. Jorgensen and R. Barlett, J. Phys. Chem. Solids 30: 2639 (1969).ADSCrossRefGoogle Scholar
  16. 16.
    W. Bollmann and M. Gernard, Phys. stat. sol, (a) 9: 301 (1972).ADSCrossRefGoogle Scholar
  17. 17.
    W. Bollmann, Phys. stat. sol. (a) 40: 83 (1977).ADSCrossRefGoogle Scholar
  18. 18.
    L. J. Van der Pauw, Philips Res. Rep. 13:1 (1958).Google Scholar
  19. 19.
    V. K. Lapshin and A. P. Rumyanzev, “Materialy vseroyusn. konf. fizika dielektr. i perspekt. ego rasvit,” Leningrad (1973), Vol. 1, p. 145.Google Scholar
  20. 20.
    A. M. Glass and M. E. Lines, Phys. Rev. B13:180 (1976).ADSGoogle Scholar
  21. 21.
    G. E. Peterson, J. R. Carruthers and A. Carnevale, J. Chem. Phys. 53:2436 (1976).ADSCrossRefGoogle Scholar
  22. 22.
    N. F. Mott, J. Non-Cryst. Solids 1: 1 (1968).ADSCrossRefGoogle Scholar
  23. 23.
    V. N. Bogomolov, E. K. Kudinov and Yu. A. Firsov, Soviet Phys.-Solid State 9: 2502 (1968).Google Scholar
  24. 24.
    K. Nassau, H. J. Levinstein and G. M. Loiacona, J. Phys. Chem. Solids 27: 989 (1966).ADSCrossRefGoogle Scholar
  25. 25.
    E. Bernai, G. D. Chen and T. C. Lee, Phys. Letters 21: 259 (1966).ADSCrossRefGoogle Scholar
  26. 26.
    G. L. Sewell, Phys. Rev. 129:597 (1963).ADSzbMATHCrossRefGoogle Scholar
  27. 27.
    K. D. Schotte, Z. Phys. 196:393 (1966).ADSCrossRefGoogle Scholar
  28. 28.
    A. L. Efros, Soviet Phys.-Solid State 9: 901 (1967).Google Scholar
  29. 29.
    M. I. Klinger, Rep. Progr. Phys. 30:225 (1968).ADSCrossRefGoogle Scholar
  30. 30.
    D. Emin, Electrical Transport in Semiconducting Non-Crystalline Solids, in: “Physics of Structurally Disordered Solids,” S. S. Mitra, ed., Plenum Press, New York (1976), p. 461.Google Scholar
  31. 31.
    D. Emin, Phys. Rev. Letters 25: 1751 (1970).ADSCrossRefGoogle Scholar
  32. 32.
    M. R. Chowdhury, G. E. Peckham, R. T. Ross and D. H. Saunderson, J. Phys. C.: Solid State Phys. 7:L99 (1974).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • P. Nagels
    • 1
  1. 1.Materials Science DepartmentS.C.K./C.E.N.MOLBelgium

Personalised recommendations