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

TL;DR

This study explores the critical behavior of the spin-3/2 Blume-Capel model on a disordered 2D lattice, revealing it belongs to a different universality class than the regular model, with specific critical exponents calculated.

Contribution

It provides the first detailed analysis of the critical properties of the spin-3/2 Blume-Capel model on a random lattice, highlighting differences from the spin-1/2 case.

Findings

Critical temperature and exponents calculated

Disordered system does not share universality class with regular 2D ferromagnetic model

Cluster hybrid Monte Carlo effectively used for simulation

Abstract

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.