Anisotropic and antisymmetric double exchange in mixed-valence clusters

摘要

In the mixed-valence [d~n - d~(n+1)] clusters of transition metal ions, taking the spin-orbit coupling into account in the Anderson-Hasegawa double exchange model results in anisotropic double exchange and antisymmetric double exchange. The anisotropic double exchange results in the zero-field splittings of the double exchange levels. These zero-field splittings are described by the the effective ZFS Hamiltonian, which is active between the states of different localization of the extra electron.