Antiferromagnetic susceptibility of the plane square and honeycomb ising lattices

Yoshihiro Nishiyama

Seung‐Yeon Kim

Tuncer Kaya

M F Sykes, David S. Gaunt, P D Roberts +1 more

Extended series expansions for the high temperature zero-field susceptibility of the Ising model are given in powers of the usual high temperature counting variable v=tanh K; for the triangular lattice to v 16 , for the square lattice to v 21 and for the honeycomb lattice to v 32 , inclusive. The asymptotic behaviour of the ferromagnetic and antiferromagnetic susceptibility is studied. It is concluded that the ferromagnetic singularity is not exactly factorizible. The antiferromagnetic susceptibility of the square and honeycomb lattices has a singularity of the same type as the energy at the antiferromagnetic critical temperature.

Seung‐Yeon Kim

The important properties of the Ising antiferromagnets on honeycomb lattice and square lattice in the critical magnetic field B c (B c = 3|J| for honeycomb lattice and B c = 4|J| for square lattice with coupling constant J) are investigated by evaluating exactly all their possible ground states on L × 2L honeycomb lattices (L = 4 ∼ 14) and L × L square lattices (L = 4 ∼ 16) with cylindrical boundary conditions. In particular, the properties of the honeycomb-lattice Ising antiferromagnet in the critical magnetic field B c are unveiled for the first time.

Fa Yueh Wu, X. N. Wu, Henk W. J. Blöte