Abstract
A theoretical overview of the cooperative Jahn-Teller effect in the insulating phase is given. We obtain an effective Hamiltonian of an interaction between the orbital states of the Jahn-Teller ions through a canonical transformation, which associates each electronic state with a local lattice distortion, and by use of the mean field approximation. The effective Hamiltonian yields a simple unified picture of cooperative distortions of various types. The competing effect of the spin-orbit coupling is discussed also. Electron itinerancy is briefly discussed at the end.
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© 1999 Springer-Verlag Berlin Heidelberg
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Kanamori, J. (1999). Crystal Distortions in Magnetic Compounds. In: Fukuyama, H., Nagaosa, N. (eds) Physics and Chemistry of Transition Metal Oxides. Springer Series in Solid-State Sciences, vol 125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60041-8_3
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DOI: https://doi.org/10.1007/978-3-642-60041-8_3
Publisher Name: Springer, Berlin, Heidelberg
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