%0 Journal Article
%T Exact Finite-Size-Scaling Corrections to the Critical Two-Dimensional Ising Model on a Torus
%A J. Salas
%J Physics
%D 2000
%I arXiv
%R 10.1088/0305-4470/34/7/307
%X We analyze the finite-size corrections to the energy and specific heat of the critical two-dimensional spin-1/2 Ising model on a torus. We extend the analysis of Ferdinand and Fisher to compute the correction of order L^{-3} to the energy and the corrections of order L^{-2} and L^{-3} to the specific heat. We also obtain general results on the form of the finite-size corrections to these quantities: only integer powers of L^{-1} occur, unmodified by logarithms (except of course for the leading $\log L$ term in the specific heat); and the energy expansion contains only odd powers of L^{-1}. In the specific-heat expansion any power of L^{-1} can appear, but the coefficients of the odd powers are proportional to the corresponding coefficients of the energy expansion.
%U http://arxiv.org/abs/cond-mat/0009054v3