Phase diagram of the decorated Ising model on the Kagome lattice with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor interactions

Using computational physics methods, we investigate the static critical behavior of the decorated Ising model on a Kagome lattice. The model incorporates exchange interactions between nearest-neighbor nodal spins, next-nearest-neighbor nodal spins, as well as interactions between nodal and nearest decorated spins. The analysis is performed for various values of the exchange coupling between nodal and decorated spins. We compute critical temperatures, determine equilibrium spin configurations at finite temperatures, characterize the nature of phase transitions, and construct the corresponding phase diagram. Our results demonstrate that the inclusion of decorated spins induces the emergence of novel phases and additional phase transition lines.