Skip to main content

Virtual Phonon Exchange Influence on Magnetic Properties of Jahn-Teller Crystals: Triple Electronic Degeneracy

  • Chapter
  • First Online:
Vibronic Interactions and the Jahn-Teller Effect

Part of the book series: Progress in Theoretical Chemistry and Physics ((PTCP,volume 23))

  • 1181 Accesses

Abstract

Mutual influence of magnetic interactions and competing two types of virtual phonon exchange interactions is considered in the framework of the cooperative Jahn-Teller effect theory. It is shown that this competition in the presence of magnetic interactions can result in a new type of structural tetragonal –tetragonal transition. The corresponding virtual phonon exchange interactions drastically affect the magnetic crystal properties. Comparison with the experimental data is presented.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Englman R (1972) The Jahn-Teller effect in molecules and crystals. Wiley, New York/London

    Google Scholar 

  2. Gehring GA, Gehring KA (1975) Rep Prog Phys 38:1

    Article  CAS  Google Scholar 

  3. Bersuker IB, Polinger VZ (1989) Vibronic interaction in molecules and crystals. Springer, Berlin/New York

    Book  Google Scholar 

  4. Kaplan MD, Vekhter BG (1995) Cooperative phenomena in Jahn-Teller crystals. Plenum Press, New York/London

    Book  Google Scholar 

  5. Reinen D, Friebel C (1979) Struct Bonding 37:1

    CAS  Google Scholar 

  6. Kugel KI, Khomskii DI (1977) Usp Fiz Nauk 136:621

    Article  Google Scholar 

  7. Plumier R, Sougi M (1987) Solid State Commun 64:53

    Article  CAS  Google Scholar 

  8. Plumier R, Sougi M (1989) Physica (Amsterdam) 155B:315

    Google Scholar 

  9. Adachi K (2005) Phys Rev Lett 95:197202

    Article  CAS  Google Scholar 

  10. Suzuki T, Katsumura M, Taniguchi K, Arima T, Katsufuji T (2007) Phys Rev Lett 98:127203

    Article  CAS  Google Scholar 

  11. Kaplan MD, Zimmerman GO (2008) Phys Rev B 77:104426

    Article  Google Scholar 

  12. Hock K-H, Schroder G, Thomas H (1978) Z Phys B 30:403

    Article  Google Scholar 

  13. Mattis DC (1965) The theory of magnetism. Harper & Row Publishers, New York/Evanston/London

    Google Scholar 

  14. Kaplan MD (2009) In: Koppel H, Yarkony D, Barentzen H (eds) The Jahn-Teller effect. Fundamentals and implications for physics and chemistry. Springer Series of Chemical Physics vol 97, Springer, Berlin, p 653

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Michael D. Kaplan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Kaplan, M.D., Zimmerman, G.O. (2011). Virtual Phonon Exchange Influence on Magnetic Properties of Jahn-Teller Crystals: Triple Electronic Degeneracy. In: Atanasov, M., Daul, C., Tregenna-Piggott, P. (eds) Vibronic Interactions and the Jahn-Teller Effect. Progress in Theoretical Chemistry and Physics, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2384-9_24

Download citation

Publish with us

Policies and ethics