Critical behavior of the spin-3/2 Blume-Capel model on a random two-dimensional lattice

Details Critical behavior of the spin-3/2 Blume-Capel model on a random two-dimensional lattice Critical behavior of the spin-3/2 Blume-Capel model on a random two-dimensional lattice

2006-04-05

arxiv.org/abs/cond-mat/0604145v1

Physics

Condensed Matter

Statistical Mechanics

5 pages and 5 figures

Scientific paper

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 $\gamma/\nu$, $\beta/\nu$, $\alpha/\nu$, and $\nu$. 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.

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