Abstract
A method to calculate the tunnelling state energy of mixed-valence clusters using a secondary quantization technique has been developed. This method makes it possible to obtain the analytical form for any matrix elements existing in double-exchange theory and to determine the microstructure of the parameters of this theory. The energy spectrum of trimeric mixed-valence systems d1-d1-d2 and d4-d4-d5 are calculated, and the magnetic properties of these are investigated.
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