Theory of electrons with orbital degeneracy
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Theory of electrons with orbital degeneracy
The Hubbard model for electrons with orbital degeneracy is shown to have an underlying SUd(4) symmetry of spin-orbital double. A hidden charge SUc(4) symmetry is exposed and an extended Lieb-Mattis transformation, which maps these two symmetries into each other, is given. On the basis of elementary degenerate perturbative theory, it is shown that the system with strong repulsive coupling is equ...
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In many transitional metal oxides, the electron configuration on the metal ions has orbital degeneracy in addition to spin degeneracy. In these systems, the sign and magnitude of the spin-spin couplings depend on the orbital occupancy. This may result in interesting magnetic properties of the Mott insulating phase, and is believed to be relevant to unusual properties of many vanadium, titanium,...
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S. Florens, A. Georges, G. Kotliar, and O. Parcollet Laboratoire de Physique Théorique, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France and Laboratoire de Physique des Solides, Université Paris-Sud, Bât. 510, 91405 Orsay, France Center for Materials Theory, Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854 Service de Physique Théorique,...
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High-spin systems with orbital degeneracy are studied in the large spin limit. In the absence of Hund's coupling, the classical spin model is mapped onto disconnected orbital systems with spins up and down, respectively. The ground state of the isotropic model is an orbital valence bond state where each bond is an orbital singlet with parallel spins, and neighboring bonds interact antiferromagn...
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A new scheme of the iterative perturbation theory is proposed for the strongly correlated electron systems with orbital degeneracy. The method is based on the modified self-energy of Yeyati, et al. which interpolates between the weak and the strong correlation limits, but a much simpler scheme is proposed which is useful in the case of the strong correlation with orbital degeneracy. It will be ...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2000
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.62.15493