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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.
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B.M. McCoy and T.T. Wu, The Two-Dimensional Ising Model, Harvard University Press, Cambridge, Massachusetts (1973)
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M.F. Sykes, M.G. Watts, and D.S. Gaunt, Derivation of low-temperature expansions for Ising model. VIII. Ferromagnetic and antiferromagnetic polynomials for the honeycomb-triangular system, J. Phys. A: Math. Gen
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D.S. Gaunt and A.J. Guttmann, A generalised form of extended lattice-lattice scaling, J. Phys. A: Math. Gen
1978
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R.J. Baxter, Solvable eight-vertex model on an arbitrary planar lattice, Phil. Trans. R. Soc. Lond. A
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J.H.H. Perk, Quadratic identities for Ising model correlations, Phys. Lett. A
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B.M. McCoy and T.T. Wu, Nonlinear Partial Difference Equations for the Two-Dimensional Ising Model, Phys. Rev. Lett
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B.M. McCoy and T.T. Wu, Nonlinear Partial Difference Equations for the Two-Spin Correlation Function of the Two-Dimensional Ising Model, Nucl. Phys. B
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B. Nickel, Addendum to ‘On the singularity structure of the 2D ising model susceptibility,’ J. Phys A: Math. Gen
2000
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2001
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W.P. Orrick, B. Nickel, A.J. Guttmann, and J.H.H. Perk, The susceptibility of the square lattice Ising model: New developments, J. Stat. Phys
2001
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H. Au-Yang and J.H.H. Perk, Correlation Functions and Susceptibility in the Z Z -Invariant Ising Model, in MathPhys Odyssey 2001: Integrable Models and Beyond,
2002
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H. Au-Yang and J.H.H. Perk, Wavevector-Dependent Susceptibility in Aperiodic Planar Ising Models, in MathPhys Odyssey 2001: Integrable Models and Beyond,
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H. Au-Yang and J.H.H. Perk, Susceptibility calculations in periodic and quasiperiodic planar Ising models, Physica A
2003
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2007
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S. Boukraa, A.J. Guttmann, S. Hassani, I. Jensen, J.-M. Maillard, B. Nickel, and N. Zenine, Experimental mathematics on the magnetic susceptibility of the square lattice Ising model, J. Phys. A: Math. Theor
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