Phase transition of the S4 model on diamond lattice

Abstract:

According to the real space renormalization group method, the phase transition of S4 model on a diamond lattice is studied, and its critical points are obtained. The results show that there only exist a Gaussian fixed point and the Wilson-Fisher fixed point is not found. Compared to the Gauss model on a diamond lattice, they have the same critical points. The results indicate that the two systems belong to the same university class.