Numerical and analytical studies of critical properties of a random mixed-bond Ising model

Abstract

The critical properties of a random mixed-bond Ising model on a cubic lattice are studied so much numerically with analytically. Analytical studies on Mixed-bond Ising model through renormalization group technique predict the existence of reentrant magnetism in certain range of values of the competition parameter α. This phenomenon typically found in systems that present spin-glass phase. In this work, did we use the algorithm cluster of Wolff to simulate the dynamics of the system. Using the technique of the Histogram obtains the thermodynamic amounts of interest and based on the theory finite size scaling found the critical temperatures, the phase diagrams and the critical exponents of the model.  Our results were compared with those obtained using a new technique in effective field theory which employs similar probability distribution within the framework of two-site clusters.