Models for Manganites
In the previous chapter, an electronic model was derived for the case of several nearly degenerate orbitals in a given ion. The resulting model, which included on site Coulombic interactions (4.17, 4.18), was found to be very general, and its applicability goes beyond the manganites into ruthenates, nickelates, and other multiorbital compounds. Also, the discussion in the last chapter on the Jahn Teller effects was general as well, and suitable for a variety of materials. In this chapter, the model-writing effort will be entirely focused on manganites. This effort will not simply lead to trivial special cases of the previous results, but further work will be needed since the Hamiltonians of Chap. 4 are, unfortunately, too complicated for an accurate many-body treatment. Simpler models must be derived (or guessed!) under reasonable assumptions, to make progress on the theoretical aspects of manganese oxides. The setup of these simpler models is the main goal of the present chapter.
KeywordsLocalize Spin Breathing Mode Electron Phonon Coupling Jahn Teller Wannier Function
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- 5.3A.J. Millis, B.I. Shraiman, and R. Mueller: Phys. Rev. Lett. 77, 175 (1996). See also A.J. Millis, B.I. Shraiman, and R. Mueller: Phys. Rev. B 54, 5389 (1996); and A.J. Millis: Nature 392, 147 (1998)Google Scholar
- 5.5H. Räder, J. Zang, and A.R. Bishop: Phys. Rev. Lett. 76, 1356 (1996). See also J. Zang, A.R. Bishop, and H. Räder: Phys. Rev. B 53, R8840 (1996)Google Scholar
- 5.See for instance G. Martins et al.: Phys. Rev. Lett. 84, 5844 (2000), and references thereinGoogle Scholar
- 5.J.E. Medvedeva, V.I. Anisimov, O.N. Mryasov, and A.J. Freeman: condmat/0111038. See also J.E. Medvedeva et al.: cond-mat/0104316, and references thereinGoogle Scholar
- 5.For reviews on density functional theory, see: W. Kohn: Rev. Mod. Phys. 71, S59 (1999); J. Bernholc: Phys. Today, Sept. 1999, p.30; M.L. Cohen: Physics Today, July 1979, p.40; N. Argaman and G. Makov: cond-mat/9806013Google Scholar
- 5.13D.S. Dessau and Z.-X. Shen: Colossal Magnetoresistance Oxides, in Monographs in Condensed Matter Science, edited by Y. Tokura (Gordon & Breach, London, 2000 )Google Scholar
- 5.17S. Satpathy, Z.S. Popovic, and F.R. Vukajlovic: Phys. Rev. Lett. 76, 960 (1996). See also W. E. Pickett and D.J. Singh: Phys. Rev. B 53, 1146 (1996)Google Scholar
- 5.18K. Yoshida: Theory of Magnetism ( Springer, Berlin Heidelberg New York 1998 )Google Scholar
- 5.19A. Bocquet, T. Mizokawa, T. Saitoh, H. Namatame, and A. Fujimori: Phys. Rev. B 46, 3771 (1992); T. Arima, Y. Tokura, and J.B. Torrance: Phys. Rev. B 48, 17006 (1993); T. Saitoh, A. Bocquet, T. Mizokawa, H. Namatame, A. Fujimori, M. Abbate, Y. Takeda, and M. Takano Phys. Rev. B 51, 13942 (1995)Google Scholar
- 5.20V. Perebeinos and P.B. Allen: Phys. Rev. Lett. 85, 5178 (2000); P.B. Allen and V. Perebeinos: Phys. Rev. Lett. 83, 4828 (1999)Google Scholar