Upper Bounds on the Critical Temperature of the Ashkin-Teller Model

作者：Santos Jander P^*; Sa Barreto F C

来源：Brazilian Journal of Physics, 2016, 46(1): 70-77.

DOI：10.1007/s13538-015-0385-0

• Ashkin-Teller model
• Correlation inequalities
• Bounds for the critical temperature
• Phase diagrams

Starting from correlation identities for the Ashkin-Teller model and using correlation inequalities, we obtain rigorous upper bounds on the critical temperatures. The results were obtained in hexagonal, square, and cubic lattices and improve over effective field type calculations. The rigorous upper bounds results are compared to those obtained by other methods.

• 出版日期2016-2