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We consider the square-lattice antiferromagnetic Heisenberg Hamiltonianextended with a single-ion axial anisotropy term as a minimal model for themultiferroic Ba2CoGe2O7. Developing a multiboson spin-wave theory, weinvestigate the dispersion of the spin excitations in this spin-3/2 system. Asa consequence of a strong single-ion anisotropy, a stretching (longitudinal)spin-mode appears in the spectrum. The inelastic neutron scattering spectra ofZheludev et al. [Phys. Rev. B 68, 024428 (2003)] are successfully reproduced bythe low energy modes in the multiboson spin-wave theory, and we anticipate theappearance of the spin stretching modes at 4meV that can be identified usingthe calculated dynamical spin structure factors. We expect the appearance ofspin stretching modes for any S>1/2 compound where the single-ion anisotropy issignificant.

Multiboson spin-wave theory for Ba2CoGe2O7, a spin-3/2 easy-plane Neel antiferromagnet with strong single-ion anisotropy