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, is studied by constructing renormalization group transformations on the equivalent one-dimensional quatum 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 behaviours. The physically accessible fixed point for q>q/sub c/ is a discontinuity fixed point where the specific heat exponent alpha =1 and therefore the transition is of first order. (Atomindex citation 12:600542)