Random field Ising model in a random graph

The Random Field Ising Model (RFIM) following bimodal and Gaussian distributions for the RF is investigated using a finite connectivity technique. We focused on determining the order of the phase transition as well as the existence of a tricritical point as a function of the connectivity c for both types of RF distribution. Our results indicate that for the Gaussian distribution the phase transition is always second-order. For the bimodal distribution, there is indeed a tricritical point. However, its location is strongly dependent on c. The tricritical point is suppressed below a certain minimum value of connectivity.