Ternary-Spin Ising Model on an Anisotropically Decorated Square Lattice: An Exactly Solvable Case

Magnetic properties of a ternary-spin Ising model on the decorated square lattice are studied within a generalized decoration-iteration transformation. Depending on the mutual ratio between exchange interactions and the single-ion anisotropy, there appear six different phases in the ground state. The magnetic order of these phases together with the critical behaviour and corresponding magnetization curves are discussed in detail.