Abstract
The model for rare earth valence mixing which we discuss here is a generalization of that presented earlier for Eu valence instabilities.3 In particular, we will address the singlet ground state formation, the degeneracy dependence of the magnetic susceptibility, and potential phase diagrams when intersite magnetic or valence state interactions are included. Finally, a method of treating spin fluctuations within such an ionic configuration model is discussed.
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References
See the review by J. Lawrence, P. Riseborough and R.D. Parks, Rep. Prog. Phys. 44, 1.
See numerous articles in Valence Instabilities, P. Wachter and H. Bopart edrs. (North-Holland, 1982).
M. Croft, E. Kemly, C.U. Segre, Sol. St. Comm. 44, 1025 (1982).
The model calculations can actually be carried out under much more general conditions.
In the case of antiferromagnetic interactions negative values of λ for the interacting systems’ susceptibility would have to be considered.
M. Blume, V. Emery and R. Griffiths, Phys. Rev. A4, 1071.
C.U. Segre, M. Croft, J. Hodges, V. Murgai, L.C. Gupta, and R.D. Parks, Phys. Rev. Lett. 49, 1947 (1982).
B. Coqblin and A. Blandin, Adv. Phys. 17, 281 (1968).
L. Falicov and J. Kimball, Phys. Rev. Lett. 22, 997.
T. Penny, R. Melcher, F. Holtzberg and G. Guntherodt, AIP, Conf. Proc. 29, 392 (1975).
J. Thompson, Z. Fisk, J.M. Lawrence, J.L. Smith and R.M. Martin, Phys. Rev. Lett. 50, 1081 (1983).
J. Wittig in “Valence Fluctuations in Solids”, L. Fulicov, W. Hunke and M.B. Maple, edrs. (North-Holland, 1981) p. 43.
B. Coqblin and J.R. Schrieffer, Phys. Rev. 185, 847 (1969).
V.T. Rajan, Phys. Rev. Lett. 51, 301, (1983)
J.W. Allen, R.M. Martin, Phys. Rev. Lett. 49, 1106 (1982).
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© 1987 Plenum Press, New York
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Kemly, E., Croft, M. (1987). A Simple but Rigorous Model for Valence Mixing: Energy Levels, Thermodynamic Properties, and Phase Diagrams. In: Gupta, L.C., Malik, S.K. (eds) Theoretical and Experimental Aspects of Valence Fluctuations and Heavy Fermions. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0947-5_93
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DOI: https://doi.org/10.1007/978-1-4613-0947-5_93
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