The possible phase diagrams for the transverse Ising model with temperature-dependent parameters

In this Letter the transition properties of the transverse Ising model with temperature-dependent parameters are investigated. By supposing the simple dependent relations of the interaction parameters on temperature, the phase diagrams are straightforwardly obtained, which may be used to describe the closed-loop behavior for the phase transition of the systems. In fact, the reentrant phase behavior of the system obtained by this Letter is to some extent coincident with the phenomena exhibited in some colloids and complex fluid mixtures as well as proteins.