Universal relations in the finite-size correction terms of two-dimensional Ising models

Details Universal relations in the finite-size correction terms of two-dimensional Ising models Universal relations in the finite-size correction terms of two-dimensional Ising models

2001-07-24

arxiv.org/abs/cond-mat/0107514v1

Phys. Rev. E64, 035103(R) (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages, RevTeX, to appear in Phys. Rev. E, Rapid Communications

Scientific paper

10.1103/PhysRevE.64.035103

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.

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