Numerical study of the spin-1 Ashkin-Teller model
M. Badehdah, Smain Bekhechi, A. Benyoussef +1 more
Two nonperturbative methods by means of the transfer-matrix finite-size-scaling and Monte Carlo simulations are used to investigate the spin-1 Ashkin-Teller model (ATM). We have obtained rich phase diagrams with first- and second-order phase transitions with several multicritical points of higher order. Also this model exhibits a partially ordered phase ${\mathrm{PO}}_{2}$ which does not exist in the spin-1/2 Ashkin-Teller model (ATM). Finally, the critical behavior of this model is discussed.
Physical review. B, Condensed matter•Mar 1, 1999•15 citations