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
This publication has 18 references indexed in Scilit:
- Notes on Migdal's recursion formulasAnnals of Physics, 1976
- Critical temperatures of the spin-Ising modelPhysical Review B, 1976
- Variational Principles and Approximate Renormalization Group CalculationsPhysical Review Letters, 1975
- High-temperature series for the susceptibility of the spin-Ising model: Analysis of confluent singularitiesPhysical Review B, 1975
- On the critical behaviour of anisotropic systemsJournal of Physics C: Solid State Physics, 1974
- Renormalization-Group Verification of Crossover with Respect to the Lattice Anisotropy ParameterPhysical Review B, 1973
- Critical behaviour of Ising systems on extremely anisotropic lattices: V. Some aspects of the cross-over from d to d - 1 dimensionsPhysica, 1973
- Some Remarks on Perturbation Theory and Phase Transition with an Application to Anisotropic Ising ModelProgress of Theoretical Physics, 1970
- Dependence of Critical Indices on a ParameterPhysical Review Letters, 1970
- On the theory of cooperative phenomena in crystalsAdvances in Physics, 1960