Studies of Electron Transitions Using Solid He Pressure Techniques

  • J. E. Schirber


Studies of the pressure dependence of the Fermi surface of metals have proven useful in simplifying the details of the electronic structure of a large number of metals and semimetals in the past few years. Efforts have centered on: (1) the testing of band theoretical models or descriptions of the metal, and (2) studies of electron transitions or changes in the topology of the Fermi surface (FS), the subject of this discussion. Low-temperature pressure studies provide the best method for probing these topology changes because either temperature or alloying tends to smear out effects of these purely electronic transitions. There is a hierarchy of electron transitions of which the simplest Situation is the electron or Lifshitz transition [1]. This is a change in FS topology with no change in the crystal structure and no change in the interatomic spacing. The next step in the hierarchy is a change in FS topology accompanied by a change in volume, but no change in structure. This class includes the “mixed valence” and “electron promotion” situations found in an increasing number of narrow band systems which are currently receiving an enormous amount of attention. Included in this class are many of the metal-insulator and metal-semiconductor transitions. Finally, there is the third tier in the hierarchy where the topology change in the Fermi surface is accompanied by (or results from, depending on what is thought to be driving the transition) a change in both structure and volume. In this discussion, emphasis will be placed on the “simplest” Situation, the Lifshitz transition, where it is possible in several cases to follow directly the changes in the Fermi surface by use of deHaas-van Alphen or high field magnetoresistance techniques.


Electron Transition Fermi Surface Topology Change Pressure Derivative Knight Shift 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    I. M. Lifshitz, Zh. Eksp. Teor. Fiz. 38, 1569 (1960) [Sov. Phys. JETP 11, 1130 (i960)].Google Scholar
  2. 2.
    V. G. Baryakhtar and V. I. Makarov, Zh. Eksp. Teor. Fiz. 49, 1934 (1965) [Sov. Phys. — JETP 22, 1320 (1966)].Google Scholar
  3. 3.
    J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957).MathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    J. R. Anderson, J. E. Schirber, and D. R. Stone, Colloque International Du C.N.R.S., Sur Les Proprietes Physiques Des Solides Sous Pression 188, 131 (1970).Google Scholar
  5. 5.
    P. M. Holtham, J. Phys. F: Metal Phys. 3, 1301 (1973).CrossRefGoogle Scholar
  6. 6.
    C. W. Chu, T. F. Smith, and W. E. Gardner, Phys. Rev. KL, 214 (1970).Google Scholar
  7. 7.
    T. F. Smith, J. Low Temp. Phys. LI, 581 (1973).Google Scholar
  8. 8.
    R. J. Higgins and H. D. Kaehn, Phys. Rev. 182, 649 (1969).CrossRefGoogle Scholar
  9. 9.
    N. E. Alekseevskii, ZhETF Pis. Red. % 571 (1969) [JETP Lett. 9_, 347 (1969)].Google Scholar
  10. 10.
    C. W. Chu, E. Bucher, A. S. Cooper, and J. P. Maita, Phys. Rev. B4, 320 (1971).CrossRefGoogle Scholar
  11. 11.
    E. S. Itskevich and A. N. Voronovskii, ZhETF Pis. Red. 226 (1966) [JETP Lett. 4, 154 (1966)].Google Scholar
  12. 12.
    E. S. Itskevich and L. M. Fisher, ZhETF Pis. Red. 5, 141 (1967) [JETP Lett. 5, 114 (1967)].Google Scholar
  13. 13.
    N. B. Brandt and Y. A. G. Ponomarev, Zh. Eksp. Teor. Fiz. 55, 1215 (1968) [Sov. Phys. — JETP 28, 635 (1969)].Google Scholar
  14. 14.
    J. E. Schirber and J. P. Van Dyke, Phys. Rev. Lett. 26, 246 (1971).Google Scholar
  15. 15.
    J. E. Schirber and W. J. O’Sullivan, Phys. Chem. Sol., Supplement No. 1 32, 57 (1971).Google Scholar
  16. 16.
    G. M. Beardsley and J. E. Schirber, Bull. Am. Phys. Soc. Series II 17, 693 (1972).Google Scholar
  17. 17.
    M. Ribault, Ann. Phys. _2, 53 (1977).Google Scholar
  18. 18.
    H. T. Weaver, J. E. Schirber, and A. Narath, Phys. Rev. B8, 5443 (1973).Google Scholar
  19. 19.
    J. E. Schirber, Cryogenics 10, 418 (1970).CrossRefGoogle Scholar
  20. 20.
    E. S. Itskevich, Cryogenics 365 (1964).Google Scholar
  21. 21.
    N. B. Brandt, I. S. Itskevich, and N. Ya. Minina, Usp. Fiz. Nauk. 104, 459 (1971) [Sov. Phys. — Uspekki 14, 438 (1972)].Google Scholar
  22. 22.
    N. B. Brandt, S. V. Kuvshinnikov, and Ya. G. Ponomarev, Zh. ETF Pis. Red. 19, 201 (1974).Google Scholar
  23. 23.
    V. Jaccarino, M. Weger, J. H. Wernick, and A. Menth, Phys. Rev. Lett. 21, 1811 (1968).CrossRefGoogle Scholar
  24. 24.
    A. C. Switendick and A. Narath, Phys. Rev. Lett. 22, 1423 (1969).CrossRefGoogle Scholar
  25. 25.
    J. E. Schirber and A. C. Switendick, Solid State Commun. 8, 1383 (1970).Google Scholar
  26. 26.
    Y. Saito, J. Phys. Soc. (Japan) 17_, 716 (1962).Google Scholar
  27. 27.
    D. L. Radhakrishna Setty and B. D. Mungurwadi, Phys. Rev. 183, 387 (1969).CrossRefGoogle Scholar
  28. 28.
    P. W. Bridgman, Proc. Am. Acad. Arts Sei. 84, 43 (1955).Google Scholar
  29. 29.
    E. Rapoport, G. D. Pitt, and G. A. Saunders, J. Phys. C L447 (1975).Google Scholar
  30. 30.
    D. E. Gordon and B. C. Deaton, Phys. Rev. B6, 2982 (1972).Google Scholar
  31. 31.
    I. Fritz, Solid State Commun. 20, 299 (1976).CrossRefGoogle Scholar
  32. 32.
    R. T. W. Meyer, J. J. A. Hofmans, and A. R. DeVroomen, J. Phys. Chem. Solids 15, 307 (1974).CrossRefGoogle Scholar
  33. 33.
    J. E. Schirber and J. P. Van Dyke, Phys. Rev. L5, 890 (1977).CrossRefGoogle Scholar
  34. 34.
    T. Tsuchida, M. Kawai, and Y. Nakamura, J. Phys. Soc. (Japan) 28, 528 (1970).CrossRefGoogle Scholar
  35. 35.
    S. M. Myers and A. Narath, Solid State Commun. 12, 83 (1973).CrossRefGoogle Scholar
  36. 36.
    E, D. Jones, Phys. Lett. 22, 266 (1966); also Phys. Rev. 180, 455 (1969).CrossRefGoogle Scholar
  37. 37.
    L. L. Hirst, Phys. Rev. B 15, 1 (1977).Google Scholar
  38. 38.
    L. G. Khvostantsev, L. F. Vereshchagin, and E. G. Shulika, High Temp.-High Press.. 5, 657 (1973).Google Scholar
  39. 39.
    A. Jayaraman, W. Lowe, L. D. Longinotti, and E. Bucher, Phys. Rev. Lett. 36, 366 (1976).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • J. E. Schirber
    • 1
  1. 1.Sandia LaboratoriesAlbuquerqueUSA

Personalised recommendations