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

@article{Calabrese2002ChiralPT,
  title={Chiral phase transitions: Focus driven critical behavior in systems with planar and vector ordering},
  author={Pasquale Calabrese and Pietro Parruccini and A. I. Sokolov},
  journal={Physical Review B},
  year={2002},
  volume={66},
  pages={180403}
}
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 spirallike approach of the chiral fixed point results in unusual crossover and near-critical regimes that may imitate varying critical exponents… 
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