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A mixed spin-1/2 and spin-3/2 Ising model on a decorated square lattice witha nearest- neighbor interaction, next-nearest-neighbor bilinear interaction,three-site four-spin in- teraction and single-ion anisotropy is exactlyinvestigated using a generalized decoration- iteration transformation,Callen-Suzuki identity and differential operator technique. The ground-stateand finite-temperature phase boundaries are obtained by identifying all rel-evant phases corresponding to minimum internal or free energy of the system.The thermal dependencies of magnetization, correlation functions, entropy andspecific heat are also calculated exactly and the most interesting cases arediscussed in detail.

Mixed spin-1/2 and 3/2 Ising model with multi-spin interactions on a decorated square lattice