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We present joint theoretical-experimental study of the correlation effects inthe electronic structure of (pyH)$_3$[Mn$_4$O$_3$Cl$_7$(OAc)$_3$]$\cdot$2MeCNmolecular magnet (Mn$_4$). Describing the many-body effects by clusterdynamical mean-field theory, we find that Mn$_4$ is predominantly Hubbardinsulator with strong electron correlations. The calculated electron gap (1.8eV) agrees well with the results of optical conductivity measurements, whileother methods, which neglect many-body effects or treat them in a simplifiedmanner, do not provide such an agreement. Strong electron correlations inMn$_4$ may have important implications for possible future applications.

Correlation effects in the electronic structure of Mn$_4$ molecular magnet