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Some Mesoscopic Rings: Exact Simulations and Experiment

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Kamieniarz G., Matysiak R., D'Auria A. C., Esposito F., Benelli C.
Acta Physica Polonica A
|
2000
|
vol. 98
|
issue 6
721-727
EN
A numerical transfer-matrix approach and an exact diagonalization technique exploiting the point-group symmetry are worked out in the framework of quantum statistical mechanics and group theory for finite rings. They are applied to spin models of the high nuclearity cyclic clusters [Mn(hfac)_{2}NITPh]_{6} and Ni_{12}(O_{2}CMe)_{12}(chp)_{12}(H_{2}O)_{6}(THF)_{6}. The microscopic parameters of both molecules (J/k_{B}=350±10 K and J/k_{B}=8.5 K±0.5, g=2.23±0.01, respectively) are then obtained from a fit of the theoretical susceptibility curves to the experimental results which are supplemented for Ni_{12} by new low-temperature measurements.
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