Article

Journal of Statistical Physics

, Volume 145, Issue 3, pp 549-590

First online:

The Ising Susceptibility Scaling Function

  • Y. ChanAffiliated withDepartment of Mathematics and Statistics, The University of Melbourne
  • , A. J. GuttmannAffiliated withDepartment of Mathematics and Statistics, The University of Melbourne
  • , B. G. NickelAffiliated withDepartment of Physics, University of Guelph
  • , J. H. H. PerkAffiliated withDepartment of Physics, Oklahoma State UniversityDepartment of Theoretical Physics (RSPE) and Centre for Mathematics and its Applications (CMA), Australian National University Email author 

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

We have dramatically extended the zero field susceptibility series at both high and low temperature of the Ising model on the triangular and honeycomb lattices, and used these data and newly available further terms for the square lattice to calculate a number of terms in the scaling function expansion around both the ferromagnetic and, for the square and honeycomb lattices, the antiferromagnetic critical point.

Keywords

Ising model Susceptibility Triangular lattice Honeycomb lattice Series expansion Corrections to scaling