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

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