Order and disorder operators of the Baxter model

L. N. Jorge, L. S. Ferreira, Álvaro A. Caparica

Sargis Dallakyan, N.S. Ananikian, Ruben G. Ghulghazaryan

The mechanisms leading to thermodynamic chaos in the Baxter-Wu model is considered. We compare the Baxter-Wu model with triangular antiferromagnets and discuss the difficulties related to the modeling of thermodynamic chaos by disordered models. We also discuss how to overcome the problem of infinitely many order parameters. Then we consider the Baxter-Wu model in a complex magnetic field and show the existence of infinitely many critical exponents in this model.

Dmitry Chicherin, Sergey E. Derkachov, David Roudolph Karakhanyan +1 more

Виктор Степанович Доценко

The two-point spin-spin correlation function of the weakly disordered Baxter model in the phase transition point is calculated. The corresponding critical exponent appears to be zero, i.e. the decay of the correlation function is slower than the power law: R - eta . Together with the previous result that the specific heat critical exponent of the weakly disordered Baxter model is also universal: alpha -0, it gives the complete set of universal critical exponents which describe the phase transition. The critical exponents of the weakly disordered Baxter model coincide with those of the weakly disordered Ising model.

Dmitry Chicherin, Sergey E. Derkachov, David Roudolph Karakhanyan +1 more

LEJian-Xin, YANGZhan-Ru

and , while the phase diagram, for the isotropic Ashkin-Teller model,contains three phases, I.e., the fully disordered paramagnetic phase Para, the fully ordered ferromagnetic phase Baxter Phase, and the partially ordered ferromagnetic phase .