Abstract
The solution of the double exchange problem is proposed for the mixed valence systems containing orbitally degenerate metal ions. The energy levels for a face-shared bioctahedral dimer are found as the functions of two hopping integrals t a and t e implied by the trigonal overall symmetry. The symmetry properties of the double exchange Hamiltonian are discussed in the context of the strong magnetic anisotropy arising from the orbital interactions.
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