Chiral phase transitions: focus driven critical behavior in systems with planar and vector ordering

Abstract

The fixed point that governs the critical behavior of magnets described by the $N$-vector chiral model under the physical values of $N$ ($N=2,3$) is shown to be a stable focus both in two and three dimensions. Robust evidence in favor of this conclusion is obtained within the five-loop and six-loop renormalization-group analysis in fixed dimension. The spiral-like approach of the chiral fixed point results in unusual crossover and near-critical regimes that may imitate varying critical exponents seen in physical and computer experiments.

4 pages, 5 figures. Discussion enlarged

References in corpus (4)

• Large-n Critical Behavior of O(n)xO(m) Spin Models
• Chiral exponents in frustrated spin models with noncollinear ordering
• Non-equilibrium transitions in fully frustrated Josephson junction arrays
• The critical behavior of 2-d frustrated spin models with noncollinear order

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