Finite-size effects of dimensional crossover in quasi-two-dimensional three-state Potts model

Abstract

A nearest neighbour spin pair of the quasi-two-dimensional three-state Potts model interacts with the strength $J(>0)$ in the $xy$-plane and with $λJ$ $(0\le λ\ll 1)$ in the $z$-axis. The phase transition is of second-order when $λ= 0$ and is of first-order when $λ> 0$. The dimensional crossover occurs with a change of the order of the phase transition. We study the finite-size effects of the phenomenon by using a Monte Carlo method with a multi-spin coding technique. The prediction of the finite-size scaling theory is consistent with the Monte Carlo results.