Abstract
We show that a static electric field E x gives rise to a shift of the spin wave dispersion relation in the direction of the wave number q y of the quantity . This effect is caused by the magnetic moment current carried by the spin wave itself which generates an additional phase proportional to the electric field, as in the Aharonov-Casher effect. This effect is independent of the possibly present magneto-electric effects of insulating ferromagnets and superimposes to them.
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