A Monte Carlo study of the three-dimensional XY universality class: universal amplitude ratios

作者：Hasenbusch Martin^*

来源：Journal of Statistical Mechanics: Theory and Experiment , 2008, 2008(12): P12006.

DOI：10.1088/1742-5468/2008/12/P12006

• classical Monte Carlo simulations
• classical phase transitions (theory)
• critical exponents and amplitudes (theory)

We simulate lattice models in the three-dimensional XY universality class in the low and the high temperature phase. In addition to the XY model, we study the three-dimensional two-component phi(4) model on the simple cubic lattice. The parameter of the phi(4) model is chosen such that leading corrections to scaling are small. This allows us to compute a number of universal amplitude ratios with unprecedented precision: R-r = 0.411(2), R-B = 2.83(1), R-xi(+). = 0.3562(10) and R-xi(-) = 0.850(5). These results can be compared with those obtained from other theoretical methods, such as field theoretic methods or the high temperature series expansion and also with experimental results for the lambda-transition of He-4.

• 出版日期2008-12