We analyze a controversial topic about the universality class of the three-dimensional Ising model with long-range-correlated disorder. Whereas both theoretical and numerical studies agree on the validity of the extended Harris criterion [A. Weinrib, B.I. Halperin, Phys. Rev. B 27 (1983) 413]...

In this paper, using both analytic methods and Monte Carlo simulations with our triangle cluster algorithm, we illustrate the scaling behavior of two possible 4th-order connected energy cumulants across the well-known second and first-order phase transitions of the Baxter–Wu model under zero...

The double perovskite (DP) Sr2CrReO6, with its high Curie temperature, is a good candidate for magneto-electric and magneto-optic applications. Thus, a theoretical study by Monte Carlo Simulation (MCS) and Mean Field Approximation (MFA) in the context of the Ising model is important for a better...

Using mean-field renormalization group (MFRG) and surface-bulk mean-field renormalization group (SBMFRG) methods, we study the critical properties of classical Heisenberg and XY models. We show the exact result that there is no finite temperature phase transition in one dimension and very good...

The four-dimensional Ising model is simulated on the Creutz cellular automaton. The computed values of the critical temperature, the static critical exponents for the order parameter, the magnetic susceptibility, the specific heat, and the linear dynamical critical exponent for the order...

A method is developed to calculate the critical line of two dimensional (2D) anisotropic Ising model including nearest-neighbor interactions. The method is based on the real-space renormalization group (RG) theory with increasing block sizes. The reduced temperatures, Ks (where K=JkBT and J, kB,...

We show that non-frustrated and frustrated ladders in a magnetic field can be systematically mapped onto an XXZ Heisenberg model in a longitudinal magnetic field in the limit where the rung coupling is the dominant one. This mapping is valid in the critical region where the magnetization goes...

We have studied a model of self-interacting branched polymers on the three-dimensional Sierpinski gasket lattice, in the presence of an attractive impenetrable fractal boundary. Using an exact renoramlization group approach, we have determined the phase diagram boundaries of this model, and its...

Through Monte Carlo Simulation, the well-known majority-vote model has been studied with noise on directed random graphs. In order to characterize completely the observed order–disorder phase transition, the critical noise parameter qc, as well as the critical exponents β/ν, γ/ν and 1/ν...

The seven-dimensional Ising model is simulated on the Creutz cellular automaton using the finite-size lattice with the linear dimension 4⩽L⩽8. The exponents in the finite-size scaling relations for the magnetic susceptibility, the order parameter and the specific heat at the infinite-lattice...