In this work we will study the thermodynamics properties of the quenched decorated Ising model with competitive interactions through the effective field theory (EFT) of a one-spin cluster. This model is used here to describe the thermodynamics properties of the cooper-based oxide superconductors...

Phase transitions of the mixed spin- 1/2 and spin-S (S≥1/2) Ising model on a three-dimensional (3D) decorated lattice with a layered magnetic structure are investigated within the framework of a precise mapping relationship to the simple spin- 1/2 Ising model on a tetragonal lattice. This...

The exact solution of the doubly decorated Ising model with two- and four-spin interactions and crystal-field anisotropy is obtained using the generalized mapping transformation technique. Within this scheme, the exact relations for the phase boundaries, compensation points and spontaneous...

The generalized mapping transformation technique is used to obtain the exact solution for the mixed spin-12 and spin-S Ising model on decorated planar lattices. The critical temperature, the magnetization, the correlation functions, the internal energy and other thermodynamic quantities are...