Journal article

The Ising Susceptibility Scaling Function

Y Chan, AJ Guttmann, BG Nickel, JHH Perk

Journal of Statistical Physics | Published : 2011

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. © 2011 Springer Science+Business Media, LLC.

University of Melbourne Researchers

Grants

Awarded by National Science Foundation


Funding Acknowledgements

AJG would like to thank Dr. Andrea Pelissetto and Dr. John Cardy for patiently explaining aspects of conformal field theory as it applies to the Ising model. We thank Dr. Iwan Jensen for making available to us the 2000 term square-lattice susceptibility series that we have used in this analysis. We also thank Dr. Barry McCoy for his interest. This work was supported by the Australian Research Council through a grant to MASCOS, the ARC Centre of Excellence for Mathematics and Statistics of Complex Systems, thus supporting the work of YBC and AJG. JHHP has been supported in part by the National Science Foundation under grant PHY-07-58139 and by the Australian Research Council under Project IDs LX0989627 and DP1096713.