We investigate the critical properties of the spin-3/2 Blume-Capel model in two dimensions on a random lattice with quenched connectivity disorder. The disordered system is simulated by applying the cluster hybrid Monte Carlo update algorithm and re-weighting techniques. We calculate the critical temperature as well as the critical point exponents γ/ν, β/ν, α/ν, and ν. We find that, contrary of what happens to the spin-1/2 case, this random system does not belong to the same universality class as the regular two-dimensional ferromagnetic model.
@article{arxiv.cond-mat/0604145,
title = {Critical behavior of the spin-3/2 Blume-Capel model on a random two-dimensional lattice},
author = {F. W. S. Lima and J. A. Plascak},
journal= {arXiv preprint arXiv:cond-mat/0604145},
year = {2015}
}