Skip to main content

Soft Electronic and Vibrational Modes Near Phase Transitions

  • Chapter
Crystal Field Effects in Metals and Alloys

Abstract

At a phase transition in an electronic system the appropriate zero frequency response function must diverge. This can occur either through the movement of a finite frequency peak to zero frequency (soft mode) or the divergence of a relaxation type response (central peak). Examples of these types of behaviour in systems with crystal field splitting are discussed. When the coupling to the phonons is important (Jahn-Teller effect), the mixing of the electronic and vibrational modes is significant. This can have a dramatic effect on the elastic constants near a phase transition, and examples of this effect are also discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. B. Goodenough, ‘Magnetism and the Chemical Bond’ (Interscience, N.Y., 1963).

    Google Scholar 

  2. R. Englman, ‘The Jahn-Teller Effect in Molecules and Crystals’ (Wiley, London, 1972).

    Google Scholar 

  3. S. J. Allen, Phys. Rev. 166, 530; 167, 492 (1968);

    Article  CAS  Google Scholar 

  4. J. Faber, G.H. Lander and B.R. Cooper, Phys. Rev. Lett. 35, 1770 (1975).

    Article  CAS  Google Scholar 

  5. J. J. Rhyne, ‘Magnetic Properties of Rare Earth Metals’ (Ed. Elliott; Plenum, 1972).

    Google Scholar 

  6. R. J. Elliott, R. T. Harley, W. Hayes and S. R. P. Smith, Proc. Roy. Soc. A238, 217 (1972).

    Google Scholar 

  7. P. M. Levy, J. Phys. C 6, 3545 (1973);

    Article  CAS  Google Scholar 

  8. E. Bucher et al., Proc. 1st Conf. on Crystalline Field Effects in Metals, p.221 (Ed. Devine, Unw. Montreal, 1975).

    Google Scholar 

  9. G. A. Gehring and K. A. Gehring, Rep. Prog. Phys. 38, 1, (1975).

    Article  CAS  Google Scholar 

  10. P. Fulde in ‘Handbook of Physics and Chemistry of Rare Earths’, Ed. Gschneidner and Eysing (to be published).

    Google Scholar 

  11. P. Fulde and I. Peschel, Z. Phys. 241, 82, (1971).

    Article  Google Scholar 

  12. W. J. L. Buyers, T. M. Holden and A. Perreault, Phys. Rev. B11, 266 (1975);

    Google Scholar 

  13. W.J.L. Buyers, AIP Conf. Proc. 24, 27 (1975).

    Article  Google Scholar 

  14. A. P. Young, J. Phys. C 8, 3158 (1975).

    Article  CAS  Google Scholar 

  15. M. T. Hutchings, R. Scherm, S. H. Smith and S. R. P. Smith, J. Phys. C 8, L393 (1975);

    Article  CAS  Google Scholar 

  16. J. Als-Nielson et al., Proc. Int. Mag. Conf., Amsterdam (1976).

    Google Scholar 

  17. R. Blinc and B. Zeks, Adv. Phys. 21, 693 (1972).

    Article  CAS  Google Scholar 

  18. R. J. Elliott, ‘Structural Phase Transitions and Soft Modes’, p. 235 (Ed. Samuelson, Anderson and Feder, Oslo Universitetsforlaget, 1971);

    Google Scholar 

  19. R. B. Stinchcombe, J. Phys. C 6, 2459 (1973).

    Article  CAS  Google Scholar 

  20. G. Shirane and J. D. Axe, Phys. Rev. B8, 1965 (1973);

    Google Scholar 

  21. R. Comes et al., Phys. Rev. B8, 571 (19 73).

    Google Scholar 

  22. M. A. Moore and H. C. W. L. Williams, J. Phys. C 5, 3168, 3185, 3222 (1972);

    Article  CAS  Google Scholar 

  23. T. N. Tommett and D. L. Huber, Phys. Rev. B11, 1971 (1975).

    Google Scholar 

  24. T. Schneider and E. Stoll, Phys. Rev. Lett. 31, 1254 (1973)

    Article  CAS  Google Scholar 

  25. A. R. Bishop, E. Domany and J. A. Krumhansl, ‘Ferroelectrics’ (to be published).

    Google Scholar 

  26. R. A. Cowley and G. Coombs, J. Phys. C 6, 121, 143 (1973).

    Article  CAS  Google Scholar 

  27. R. J. Elliott and A. P. Young, J. Phys. C 7, 2721 (1974).

    Article  Google Scholar 

  28. J. Ruvalds, E. N. Economou and N. L. Ngai, ‘Light Scattering in Solids’, p.770 (Ed. Balkanski, Leite and Porto, Flammarian, 1975).

    Google Scholar 

  29. C. M. Varma and P. Hohenberg (to be published).

    Google Scholar 

  30. R. J. Birgeneau, L. C. van Uitert, J. K. Kjems and G. Shirane, Phys. Rev. B10, 2512 (1974);

    Google Scholar 

  31. J. K. Kjems, W. Hayes and S. H. Smith, Phys. Rev. Lett. 35, 1089 (1975).

    Article  CAS  Google Scholar 

  32. J. B. Saundercock et al., J. Phys. C 5, 3126 (1972).

    Article  Google Scholar 

  33. E. Pytte, Phys. Rev. B8, 3954 (1973).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1977 Plenum Press, New York

About this chapter

Cite this chapter

Elliott, R.J. (1977). Soft Electronic and Vibrational Modes Near Phase Transitions. In: Furrer, A. (eds) Crystal Field Effects in Metals and Alloys. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8801-6_13

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-8801-6_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-8803-0

  • Online ISBN: 978-1-4615-8801-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics