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

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

1994-10-19

arxiv.org/abs/cond-mat/9410070v1

Physics

Condensed Matter

12 pages(two LaTeX figures included), EDRUSBA-941019

Scientific paper

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 $\lambda J$ $(0\le \lambda \ll 1)$ in the $z$-axis. The phase transition is of second-order when $\lambda = 0$ and is of first-order when $\lambda > 0$. 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.

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