Perturbative Calculation of the Spin-Wave Dispersion in a Disordered Double-Exchange Model

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Abstract

We study the spin-wave dispersion of localized spins in a disordered double-exchange model using the perturbation theory with respect to the strength of the disorder potential. We calculate the dispersion up to the next-leading order, and extensively examine the case of one dimension. We show that in that case, disorder yields anomalous gap-like behavior at the Fermi wave number of the conduction electrons.

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