Abstract
The effects of the electronic correlations on metallic ${\mathrm{Mn}}_{13}$ icosahedral clusters are investigated in terms of single-band Hubbard model at half-band filling. The ground state, the spin-flip energy, and the two-body spin-correlation functions are calculated exactly using a Lanczos diagonalization scheme. Our theory provides a natural framework to understand the different density-functional magnetic arrangements for ${\mathrm{Mn}}_{13}$ clusters, recently predicted in the literature.
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