Randomly decorated Ising model on the square lattice

H.-T. Yeh

M. Jaščur, Jozef Strečka

K. Ziegler

Wolfhard Janke E, Mohammad W. Katoot, Ramon Villanova

Zhen‐Ya Li, Chuan‐Zhang Yang

In this paper, a random site-bond diluted Ising system on the square lattice is studied by the use of annealed model solutions of the corresponding decoration problem. The critical temperature and magnetization as functions of site and bond concentrations are calculated.

Sun Chun-Feng, Xiang-Mu Kong, Xun-Chang Yin

A decorated lattice is suggested and the Ising model on it with three kinds of interactions K1, K2, and K3 is studied. Using an equivalent transformation, the square decorated Ising lattice is transformed into a regular square Ising lattice with nearest-neighbor, next-nearest-neighbor, and four-spin interactions, and the critical fixed point is found at K1 = 0.5769, K2 = −0.0671, and K3 = 0.3428, which determines the critical temperature of the system. It is also found that this system and the regular square Ising lattice, and the eight-vertex model belong to the same universality class.