Universal relations in the finite-size correction terms of two-dimensional Ising models
Statistical Mechanics
2009-11-07 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/0107514,
title = {Universal relations in the finite-size correction terms of two-dimensional Ising models},
author = {Yutaka Okabe and Naoki Kawashima},
journal= {arXiv preprint arXiv:cond-mat/0107514},
year = {2009}
}
Comments
4 pages, RevTeX, to appear in Phys. Rev. E, Rapid Communications