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Large deviations principle for the mean field Heisenberg model with external magnetic field

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In this paper, we consider the mean-field Heisenberg model with deterministic external magnetic field. We prove a large deviation principle for Sn/n with respect to the associated Gibbs measure, where Sn/n is the scaled partial sum of spins. In particular, we obtain an explicit expression for the rate function. | Large deviations principle for the mean field Heisenberg model with external magnetic field