Self-similarity in the classification of finite-size scaling functions for toroidal boundary conditions.
The conventional periodic boundary conditions in two dimensions are extended to general boundary conditions, prescribed by primitive vector pairs that may not coincide with the coordinate axes. This extension is shown to be unambiguously specified by the twisting scheme. Equivalent relations between different twist settings are constructed explicitly. The classification of finite-size scaling functions is discussed based on the equivalent relations. A self-similar pattern for distinct classes of finite-size scaling functions is shown to appear on the plane that parametrizes the toroidal geometry.
Liaw
Tsong-Ming
TM
Grid Computing Centre and Institute of Physics, Academia Sinica, 11529 Taipei, Taiwan. ltming@gate.sinica.edu.tw
Huang
Ming-Chang
MC
Luo
Yu-Pin
YP
Lin
Simon C
SC
Chou
Yen-Liang
YL
Deng
Youjin
Y