S. Cohen, T.O. Sedgwick, et al.
MRS Proceedings 1983
The scaling-limit symmetry of Zq-invariant spin systems is studied by renormalization-group methods based on qualitative bifurcation theory rather than a series expansion in. Under the plausible assumption of the absence of secondary bifurcations, it is shown that an ordinary critical phase with q 2 or 4 must have full SO2 invariance in the scaling limit; moreover, any such asymptotically isotropic critical phase is stable under Zq-invariant perturbations for q>4. Previously obtained results about two-dimensional Kosterlitz-Thouless phases for clock models have a natural interpretation within this group-theoretic bifurcation analysis. © 1982 The American Physical Society.
S. Cohen, T.O. Sedgwick, et al.
MRS Proceedings 1983
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Journal of Magnetism and Magnetic Materials
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Polyhedron
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