We study the effect of quantum fluctuations in an Ising spin system on a scale-free network of degree exponent γ5 using a quantum Monte Carlo simulation technique. In our model, one can adjust the magnitude of the magnetic field perpendicular to the Ising spin direction and can therefore...

The one-parametric Wang-Landau (WL) method is implemented together with an extrapolation scheme to yield approximations of the two-dimensional (exchange-energy, field-energy) density of states (DOS) of the 3D bimodal random-field Ising model (RFIM). The present approach generalizes our earlier...

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...

We present the results of Monte Carlo simulations for the critical dynamics of the three-dimensional site-diluted quenched Ising model. Three different dynamics are considered, these correspond to the local update Metropolis scheme as well as to the Swendsen–Wang and Wolff cluster algorithms....

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...

We study the four-state antiferromagnetic Potts model on the triangular lattice. We show that the model has six types of defects which diffuse and annihilate according to certain conservation laws consistent with their having a vector-valued topological charge. Using the properties of these...

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...

In this work we study an unusual phase transition of the Baxter–Wu model in the presence of an external magnetic field. The model is pure Baxter–Wu, which means that only three-spin interactions are taken into account. We construct a phase diagram on the temperature–field plane based...