The Hall Effect in Limiting Cases

  • Colin M. Hurd
Part of the The International Cryogenics Monograph Series book series (INCMS)


In Section 1.1 are listed the theoretical limiting conditions which can be defined in the study of the galvanomagnetic effects in metals. In the present chapter we shall give a survey of the theories which have been developed for the two most important of these conditions: the high- and low-field limits. These are considered separately in this and in Section 2.2, respectively. Section 2.3 contains a description, for both of these limiting cases, of the two-band model of conduction. Originally introduced to account for the magnetoresistance in a free-electron metal, this model has frequently been applied to the galvanomagnetic properties of metals, and no survey of the interpretation of the Hall effect data would be complete without some consideration of it.


Fermi Surface Hall Effect Field Dependence Hall Coefficient Conductivity Tensor 
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  1. 1.
    I. M. Lifshitz, M. Ia. Azbel, and M. I. Kaganov, Zh. Eksp. Teor. Fiz.30, 220 (1955)Google Scholar
  2. 1a.
    a I. M. Lifshitz, M. Ia. Azbel, and M. I. Kaganov, [Soviet Phys.-JETP (Engl. trans.)3, 143 (1956)]; 31, 63 (1956)Google Scholar
  3. 1b.
    b I. M. Lifshitz, M. Ia. Azbel, and M. I. Kaganov, [Soviet Phys.-JETP (Engl. trans.)4, 41 (1956)].Google Scholar
  4. 2.
    R. G. Chambers, Proc. Roy. Soc. (London) A238, 344 (1956).Google Scholar
  5. 3.
    E. Fawcett, Adv. Phys.13, 139 (1964).CrossRefGoogle Scholar
  6. 4.
    A. B. Pippard, Rep. Progr. Phys.23, 176 (1960).CrossRefGoogle Scholar
  7. 5.
    A. B. Pippard, The Dynamics of Conduction Electrons ,Blackie and Son, London, 1965.Google Scholar
  8. 6.
    M. Kohler, Ann. Phys. Leipzig 40, 601 (1941).Google Scholar
  9. 7.
    J. Meixner, Ann. Phys. Leipzig 40, 165 (1941).CrossRefGoogle Scholar
  10. 8.
    H. B. G. Casimir, Rev. Mod. Phys.17, 343 (1945).CrossRefGoogle Scholar
  11. 9.
    J. M. Ziman, Phil. Mag.3, 1117 (1958).CrossRefGoogle Scholar
  12. 10.
    Yu. P. Gaidukov, Zh. Eksp. Teor. Fiz.37, 1281 (1959)Google Scholar
  13. 10a.
    a. Yu. P. Gaidukov, [Soviet Phys.-JETP (Engl. trans.)10, 913 (1960)].Google Scholar
  14. 11.
    J. E. A. Alderson, T. Farrell, and C. M. Hurd, Phys. Rev.Bl, 3904 (1970).Google Scholar
  15. 12.
    M. Kohler, Ann. Phys. Leipzig 5, 99 (1949).CrossRefGoogle Scholar
  16. 13.
    M. Kohler, Ann. Phys. Leipzig 32, 211 (1938).CrossRefGoogle Scholar
  17. 14.
    J. M. Ziman, Electrons and Phonons ,Clarendon, Oxford, 1960.Google Scholar
  18. 15.
    F. J. Blatt, Solid State Phys.4, 199 (1957).CrossRefGoogle Scholar
  19. 16.
    H. Jones and C. Zener, Proc. Roy. Soc. (London) A145, 268 (1934).Google Scholar
  20. 17.
    F. Seitz, The Modern Theory of Solids ,McGraw-Hill, New York, 1940.Google Scholar
  21. 18.
    L. Davis, Phys. Rev.56, 93 (1939).CrossRefGoogle Scholar
  22. 19.
    A. H. Wilson, The Theory of Metals ,Cambridge University Press, Cambridge, 1958.Google Scholar
  23. 20.
    A. C. Smith, J. F. Janak, and R. B. Adler, Electronic Conduction in Solids ,McGraw-Hill, New York, 1967.Google Scholar
  24. 21.
    F. Seitz, Phys. Rev.79, 372 (1950).CrossRefGoogle Scholar
  25. 22.
    J.-P. Jan, Solid State Phys.5, 1 (1957).CrossRefGoogle Scholar
  26. 23.
    J. R. A. Cooper and S. Raimes, Phil. Mag.4, 145 (1959).CrossRefGoogle Scholar
  27. 24.
    J. M. Ziman, Adv. Phys.10, 1 (1961).CrossRefGoogle Scholar
  28. 25.
    V. M. Polovov and V. I. Sumin, Fiz. Metal. Metalloved.17, 184 (1964)Google Scholar
  29. 25a.
    a V. M. Polovov and V. I. Sumin,[Phys. Met. Metal. (Engl. trans.)17, 24 (1964)].Google Scholar
  30. 26.
    M. Tsuji, J. Phys. Soc. Japan 13, 979 (1958).CrossRefGoogle Scholar
  31. 27.
    J. S. Dugdale and L. D. Firth, Phys. Kond. Mater. 9, 54 (1969).CrossRefGoogle Scholar
  32. 28.
    J. R. A. Cooper and S. Raimes, Phil. Mag.4, 1149 (1959).CrossRefGoogle Scholar
  33. 29.
    R. S. Allgaier, Phys. Rev.158, 699 (1967);165, 775 (1968).CrossRefGoogle Scholar
  34. 30.
    R. G. Chambers, Proc. Phys. Soc. (London) A65, 458 (1952).Google Scholar
  35. 31.
    W. van der Mark, H. R. Ott, D. Sargent, and F. B. Rasmussen, Phys. Kond. Mater.9, 63 (1969).CrossRefGoogle Scholar
  36. 32.
    J. S. Dugdale and L. D. Firth, J. Phys. C 2, 1272 (1969).CrossRefGoogle Scholar
  37. 33.
    R. G. Chambers, “Magnetoresistance,” in: W. A. Harrison and M. B. Webb (eds.), The Fermi Surface ,John Wiley, New York, 1960, p. 100.Google Scholar
  38. 34.
    P. L. Kapitza, Proc. Roy. Soc. (London) A123, 292 (1929).Google Scholar
  39. 35.
    B. Lüthi, Helv. Phys. Ada 33, 161 (1960).Google Scholar
  40. 36.
    C. Herring, J. Appl. Phys.31, 1939 (1960).CrossRefGoogle Scholar
  41. 37.
    H. Stachowiak, Physica 45, 481 (1970).CrossRefGoogle Scholar
  42. 38.
    J. Kondo, Prog. Theor. Phys. Japan 32, 37 (1964).CrossRefGoogle Scholar
  43. 39.
    H. Suhl, J. Appl. Phys.39, 1294 (1968).CrossRefGoogle Scholar
  44. 40.
    G. Ciobanu and A. Aldea, Rev. Roumanie de Phys.14, 621 (1969).Google Scholar
  45. 41.
    R. M. More, Solid State Comm.7, 237 (1968).CrossRefGoogle Scholar
  46. 42.
    I. U. Gaidukov, Zh. Eksp. Teor. Fiz.34, 836 (1958)Google Scholar
  47. 42a.
    a I. U. Gaidukov, [Soviet Phys.-JETP (Engl. trans.)34, 577 (1958)].Google Scholar
  48. 43.
    J. Kondo, Solid State Phys.23, 184 (1969).Google Scholar
  49. 44.
    A. J. Heeger, Solid State Phys.23, 284 (1969).Google Scholar
  50. 45.
    M.-T. Béal-Monod and R. A. Weiner, Phys. Rev.170, 552 (1968);B3, 3056 (1971).CrossRefGoogle Scholar
  51. 46.
    J. E. A. Alderson and C. M. Hurd, J. Phys. Chem. Solids 32, 2075 (1971).CrossRefGoogle Scholar
  52. 47.
    R. Tournier and Y. Ishikawa, Phys. Letters 11, 280 (1964).CrossRefGoogle Scholar
  53. 48.
    A. P. Jain and T. E. Cranshaw, Phys. Letters 25A, 425 (1967).Google Scholar
  54. 49.
    J. Crangle and W. R. Scott, J. Appl. Phys.36, 921 (1965).CrossRefGoogle Scholar
  55. 50.
    R. S. Allgaier and R. Perl, Phys. Rev.B2, 877 (1970).Google Scholar
  56. 51.
    K. Böning, Phys. Kond. Mater.11, 177 (1970).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1972

Authors and Affiliations

  • Colin M. Hurd
    • 1
  1. 1.Division of ChemistryNational Research Council of CanadaOttawaCanada

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