Renormalization Group Study of the One Dimensional Quantum Potts Model

摘要

The phase transition of the classical two dimensional Potts model, in particular the order of the transition as the number of components-q increases, was studied by constructing renormalization group transformations on the equivalent one dimensional quantum problem. It is shown that the block transformation with two sites per cell indicates the existence of a critical q/sub c/ separating the small-q and large-q regions with different critical behaviors. The physically accessible fixed point for q q/sub c/ is a discontinuity fixed point where the specific heat exponent (-) = 1 and therefore the transition is of first order.