Magnon-magnon interactions in a d -dimensional version of the simple cubic antiferromagnet with anisotropic nearest-neighbor exchange interaction and uniaxial anisotropy energy are studied to show the existence of a stationary self-localized magnon mode appearing below the magnon frequency band. This is an intrinsic nonlinear mode corresponding to a local large-angle, low-frequency precessional motion of spins, quantum states of which are characterized by the indefiniteness of the number of relevant magnons. The formulation of the problem is made by employing the Dyson-Maleev transformation and a coherent-state ansatz. Approximate analytical expressions for the eigenfrequency and profile functions of the stationary self-localized mode are obtained in the strong-localization limit for arbitrary d .
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Takeno et al. (1991) studied this question.
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