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

  • Michael D. Kaplan
  • George O. Zimmerman
Part of the Progress in Theoretical Chemistry and Physics book series (PTCP, volume 23)


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.


Magnetic Interaction Ground Electronic State Molecular Field Critical Magnetic Field Electronic Operator 
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  1. 1.
    Englman R (1972) The Jahn-Teller effect in molecules and crystals. Wiley, New York/LondonGoogle Scholar
  2. 2.
    Gehring GA, Gehring KA (1975) Rep Prog Phys 38:1CrossRefGoogle Scholar
  3. 3.
    Bersuker IB, Polinger VZ (1989) Vibronic interaction in molecules and crystals. Springer, Berlin/New YorkCrossRefGoogle Scholar
  4. 4.
    Kaplan MD, Vekhter BG (1995) Cooperative phenomena in Jahn-Teller crystals. Plenum Press, New York/LondonCrossRefGoogle Scholar
  5. 5.
    Reinen D, Friebel C (1979) Struct Bonding 37:1Google Scholar
  6. 6.
    Kugel KI, Khomskii DI (1977) Usp Fiz Nauk 136:621CrossRefGoogle Scholar
  7. 7.
    Plumier R, Sougi M (1987) Solid State Commun 64:53CrossRefGoogle Scholar
  8. 8.
    Plumier R, Sougi M (1989) Physica (Amsterdam) 155B:315Google Scholar
  9. 9.
    Adachi K (2005) Phys Rev Lett 95:197202CrossRefGoogle Scholar
  10. 10.
    Suzuki T, Katsumura M, Taniguchi K, Arima T, Katsufuji T (2007) Phys Rev Lett 98:127203CrossRefGoogle Scholar
  11. 11.
    Kaplan MD, Zimmerman GO (2008) Phys Rev B 77:104426CrossRefGoogle Scholar
  12. 12.
    Hock K-H, Schroder G, Thomas H (1978) Z Phys B 30:403CrossRefGoogle Scholar
  13. 13.
    Mattis DC (1965) The theory of magnetism. Harper & Row Publishers, New York/Evanston/LondonGoogle Scholar
  14. 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 653Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of Chemistry and PhysicsSimmons CollegeBostonUSA
  2. 2.Department of PhysicsBoston UniversityBostonUSA

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