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

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

2002-05-02

arxiv.org/abs/cond-mat/0205046v2

Phys.Rev. B66 (2002) 180403

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures. Discussion enlarged

Scientific paper

10.1103/PhysRevB.66.180403

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 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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