中国物理B ›› 2011, Vol. 20 ›› Issue (7): 70504-070504.doi: 10.1088/1674-1056/20/7/070504
李崧1, 邓友金2, 丁成祥3, 姚桂元3, 郭文安3
Ding Cheng-Xiang(丁成祥)a), Yao Gui-Yuan(姚桂元)a), Li Song(李崧)b)†, Deng You-Jin(邓友金)c)‡, and Guo Wen-An(郭文安)a)
摘要: We investigate the Eulerian bond-cubic model on the square lattice by means of Monte Carlo simulations, using an efficient cluster algorithm and a finite-size scaling analysis. The critical points and four critical exponents of the model are determined for several values of n. Two of the exponents are fractal dimensions, which are obtained numerically for the first time. Our results are consistent with the Coulomb gas predictions for the critical O(n) branch for n < 2 and the results obtained by previous transfer matrix calculations. For n=2, we find that the thermal exponent, the magnetic exponent and the fractal dimension of the largest critical Eulerian bond component are different from those of the critical O(2) loop model. These results confirm that the cubic anisotropy is marginal at n=2 but irrelevant for n<2.
中图分类号: (Lattice theory and statistics)