Abstract
The spectral problem of the internal mode oscillations of a spin nanocluster in an anisotropic ferromagnetic chain placed a magnetic field has been solved exactly using the discrete Takeno-Homma model. A stability diagram on the plane of exchange and magnetic field parameters is constructed for spin clusters having arbitrary dimensions. Explicit expressions for the nanocluster internal mode oscillations are found, and their frequency dependences on the exchange and magnetic field parameters are calculated.
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