T>0 thermal properties of the generalized three-state potts model

A generalized three-state Potts model is proposed, the decimation renormalization-group method (DRG) is applied to the hamiltonian version of this three-state generalized Potts model, and T>0 thermal properties have been calculated. We find a nontrivial unstable fixed line in the finite temperature case, when T approaches zero it agrees with the result by using the T = 0 block renormalization-group method (BRG). The possibility of extending both the reliability of range of the DRG method is also mentioned.