Critical properties of two-dimensional spin s Ising systems with lattice anisotropy
- 14 July 1978
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 11 (13) , 2823-2826
- https://doi.org/10.1088/0022-3719/11/13/027
Abstract
A phenomenological renormalisation transformation is used to calculate critical properties of two-dimensional spin s Ising systems with lattice anisotropy. Systems with s=1/2, 1, 3/2, 2, 5/2 are considered for a large range of ratios, R=Ky/Kx, of exchange constants in the x and y spatial directions. Agreement with the exact solution for s=1/2 is good, with the percentage error in Tc becoming very small as R approaches zero. The results for nu are consistent with universality arguments. The estimates of the critical curves suggest an asymptotic form, as R to 0, of Ky approximately 2s exp(-2Kx).Keywords
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