Tomita Yusuke
College of Engineering, Shibaura Institute of Technology, Saitama 330-8570, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Sep;90(3):032109. doi: 10.1103/PhysRevE.90.032109. Epub 2014 Sep 10.
At low temperatures, the two-dimensional continuous-spin systems exhibit large correlation lengths. Some of them show the Berezinskii-Kosterlitz-Thouless-like transitions, and some others show pseudocritical behaviors for which correlation lengths are extremely large but finite. To distinguish pseudo and genuine critical behaviors, it is important to understand the nature of spin-spin correlations and topological defects at low temperatures in continuous-spin systems. In this paper, I develop a finite-size scaling analysis which is suitable for distinguishing the critical behavior and its applications to the two-dimensional XY, Heisenberg, and RP(2) models.
