Critical properties of randomly mixed magnetic model of Ising, six-state clock, and XY spins on the square lattice

Randomness is an important factor for phase transition and may influence phase transitions in a variety of ways. In the present study, we probe a new type of randomness:- that of a fluctuating number of components and/or allowed values at different lattice sites. In particular, we investigate a random mixture of Ising, six-state clock, and XY spins on a square lattice. As known, the critical behavior of each of the corresponding pure realizations of these models is governed by its own fixed point. We perform Monte Carlo simulation using a Wang-Landau algorithm to elucidate the behaviour of this new mixed model in which only the limiting cases correspond to known universality classes