材料期刊网

A one-step real-space renormalization group (RSRG) transformation is used to study the q-state Potts model on the two-dimensional (2D) Penrose tiling (PT). The critical exponents of the correlation length nu(q) in the region between q = 1 and q = 4 are obtained. The bond percolation (BP) threshold and Ising critical temperature in the isotropic case are also obtained. The comparison of the results with previous results on the PT and the exact results on square lattice (SQL) indicates that the universal classes of q-state Ports model on PT and SQL may be the same. (C) 1999 Published by Elsevier Science B.V. All rights reserved.