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

P. Calabrese·P. Parruccini·A. I. Sokolov
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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.

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P. Calabrese, P. Parruccini, A. I. Sokolov. 2002-10-02. Chiral phase transitions: focus driven critical behavior in systems with planar and vector ordering. https://doi.org/10.1103/physrevb.66.180403

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