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Phase diagrams of the spin-1 Ising Blume-Emery-Griffiths model: Monte Carlo simulations

1987; American Physical Society; Volume: 36; Issue: 16 Linguagem: Inglês

10.1103/physrevb.36.8945

1095-3795

Yung‐Li Wang, Felix Lee, J. D. Kimel,

Markov Chains and Monte Carlo Methods

The Monte Carlo simulation technique is used to study the phase diagrams of a two-dimensional spin-1 Ising model with bilinear and biquadratic nearest-neighbor pair interactions and a single-ion potential. A staggered quadrupolar phase appears at low temperatures with the competing bilinear and biquadratic interactions. The phase boundary line of the staggered quadrupolar phase and that of the ferromagnetic phase are extremely close to each other at low temperatures. An argument is used to distinguish the most probable phase diagram from the several possible ones based on the Monte Carlo data.