Abstract
A general solution of the exchange-transfer problem is given for an arbitrary nuclearity mixed valence cluster with one delocalized electron over identical high-spin cores. The matrix elements of the second order exchange-transfer operator are expressed in terms of the products of 6 j-symbols only and do not contain high-order recoupling coefficients. All pathways of exchange-transfer through the intermediate non-Hund states are taken into account. The interplay between the double exchange, exchange-transfer and Heisenberg exchange is considered in detail for the simplest case of a symmetric d 2-d 1-d 1 system. As distinguished from the double exchange and Heisenberg exchange the exchange-transfer is shown to stabilize the intermediate spin state of the d 2-d 1-d 1 system. The influence of the exchange-transfer on the excess electron localization pattern is briefly discussed. The exchange-transfer is shown to affect unfavourably the condition of the delocalization over two sites.
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