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Schwinger bosons allow for an advantageous representation of quantum double exchange. We review this subject, comment on previous results, and address the transition to the semiclassical limit. We derive an effective fermionic Hamiltonian for the spin-dependent hopping of holes interacting with a background of local spins, which is used in a related publication within a two-phase description of colossal magnetoresistant manganites.
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Weiße et al. (2001) studied this question.
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