%0 Journal Article
%T Universal relations in the finite-size correction terms of two-dimensional Ising models
%A Yutaka Okabe
%A Naoki Kawashima
%J Physics
%D 2001
%I arXiv
%R 10.1103/PhysRevE.64.035103
%X Quite recently, Izmailian and Hu [Phys. Rev. Lett. 86, 5160 (2001)] studied the finite-size correction terms for the free energy per spin and the inverse correlation length of the critical two-dimensional Ising model. They obtained the universal amplitude ratio for the coefficients of two series. In this study we give a simple derivation of this universal relation; we do not use an explicit form of series expansion. Moreover, we show that the Izmailian and Hu's relation is reduced to a simple and exact relation between the free energy and the correlation length. This equation holds at any temperature and has the same form as the finite-size scaling.
%U http://arxiv.org/abs/cond-mat/0107514v1