Asymptotic symmetry: Enhancement and stability

C. M. Newman, L. S. Schulman

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)3910-3914
Number of pages5
JournalPhysical Review B
Issue number7
StatePublished - 1982

ASJC Scopus subject areas

  • Condensed Matter Physics


Dive into the research topics of 'Asymptotic symmetry: Enhancement and stability'. Together they form a unique fingerprint.

Cite this