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Quantum Tunnelling of Magnetization in Uniaxial Magnetic Clusters

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Dobrovitski V. V., Rakhmetov E. R., Barbara B., Zvezdin A. K.
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In the present paper the uniaxial cluster, such as Mn_{12}, is considered. For explanation of magnetization tunnelling in such a system, we propose to account for vibron excitations of Mn_{12} cluster; the presence of vibron can reduce the symmetry of the system and create the second-order anisotropy in the basal plane, necessary for tunnelling. Using the fact that the vibron frequency is low in comp arison with magnetic moment precession rate, we calculated the rate of magnetization tunnelling within WKB-approximation using the instanton techniques. The exact analytic instanton solution was obtained for arbitrary values of the external field, uniaxial and transversal anisotropy. We discuss also the mechanisms of quantum oscillations of the parameters of tunnelling.
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