title: Self-similarity in the classification of finite-size scaling functions for toroidal boundary conditions.
abstract: 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.
authors: Grid Computing Centre and Institute of Physics, Academia Sinica, 11529 Taipei, Taiwan. ltming@gate.sinica.edu.tw
authors: Tsong-Ming
authors: TM
authors: Liaw
authors: Ming-Chang
authors: MC
authors: Huang
authors: Yu-Pin
authors: YP
authors: Luo
authors: Simon C
authors: SC
authors: Lin
authors: Yen-Liang
authors: YL
authors: Chou
authors: Youjin
authors: Y
authors: Deng