# 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…

## 39 Citations

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We analyze the critical behavior of two-dimensional N-vector spin systems with noncollinear order within the five-loop renormalization-group (RG) approximation. The structure of the RG flow is…

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- 2015

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Frustrated magnets exhibit unusual critical behaviours: they display scaling laws accompanied by nonuniversal critical exponents. This suggests that these systems generically undergo very weak…

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- 2006

We study the nature of the two-dimensional quantum critical point separating
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The critical behavior of the O(n)-symmetric model with two n-vector fields is studied within the field-theoretical renormalization group approach in a D = 4 − 2ϵ expansion. Depending on the coupling…

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