We propose a model for the pair of electromagnon excitations observed in the class of multiferroic materials RMnO3 (R is a rare-earth ion). The model is based on a harmonic cycloid ground state interacting with a zone-edge magnon and its twin excitation separated in momentum space by two times the cycloid wave vector. The pair of electromagnons is activated by cross coupling between magnetostriction and spin-orbit interactions. Remarkably, the spectral weight of the twin electromagnon is directly related to the presence of a magnetically induced oscillatory polarization in the ground state. This leads to the surprising prediction that TbMnO3 has an oscillatory polarization with amplitude 50 times larger than its uniform polarization.
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Smolenskii G. A., 1982, Soviet Physics - Uspekhi, V25, P475, DOI 10.1070/PU1982v025n07ABEH004570