Critical Behavior of the TwoDimensional Ising Susceptibility
Abstract
We report computations of the short and longdistance (scaling) contributions to the squarelattice Ising susceptibility. Both computations rely on summation of correlation functions, obtained using nonlinear partial difference equations. In terms of a temperature variable τ, linear in T/T_{c}1, the shortdistance terms have the form τ^{p}\(ln\τ\\)^{q} with p>=q^{2}. A high and lowtemperature series of N = 323 terms, generated using an algorithm of complexity O\(N^{6}\), are analyzed to obtain the scaling part, which when divided by the leading \τ\^{7/4} singularity contains only integer powers of τ. Contributions of distinct irrelevant variables are identified and quantified at leading orders \τ\^{9/4} and \τ\^{17/4}.
 Publication:

Physical Review Letters
 Pub Date:
 April 2001
 DOI:
 10.1103/PhysRevLett.86.4120
 arXiv:
 arXiv:condmat/0009059
 Bibcode:
 2001PhRvL..86.4120O
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 11 pages, REVTex 4