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.
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References
Englman R (1972) The Jahn-Teller effect in molecules and crystals. Wiley, New York/London
Gehring GA, Gehring KA (1975) Rep Prog Phys 38:1
Bersuker IB, Polinger VZ (1989) Vibronic interaction in molecules and crystals. Springer, Berlin/New York
Kaplan MD, Vekhter BG (1995) Cooperative phenomena in Jahn-Teller crystals. Plenum Press, New York/London
Reinen D, Friebel C (1979) Struct Bonding 37:1
Kugel KI, Khomskii DI (1977) Usp Fiz Nauk 136:621
Plumier R, Sougi M (1987) Solid State Commun 64:53
Plumier R, Sougi M (1989) Physica (Amsterdam) 155B:315
Adachi K (2005) Phys Rev Lett 95:197202
Suzuki T, Katsumura M, Taniguchi K, Arima T, Katsufuji T (2007) Phys Rev Lett 98:127203
Kaplan MD, Zimmerman GO (2008) Phys Rev B 77:104426
Hock K-H, Schroder G, Thomas H (1978) Z Phys B 30:403
Mattis DC (1965) The theory of magnetism. Harper & Row Publishers, New York/Evanston/London
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
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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
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DOI: https://doi.org/10.1007/978-94-007-2384-9_24
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