The ferromagnetic Ising model on a Voronoi–Delaunay lattice

Abstract

We investigate the two-dimensional ferromagnetic Ising model in the Voronoi–Delaunay tesselation. In this study, we assume that the coupling factor J varies with the distance r between the first neighbors as J( r)∝e − αr , with α⩾0. The disordered system is simulated applying the single-cluster Monte Carlo update algorithm and the reweighting technique. We calculate the critical point exponents γ/ν, β/ν and ν for this model and find that this random system belongs to the same universality class as the pure two-dimensional ferromagnetic Ising model.