Chiral critical behavior in two dimensions from five-loop renormalization-group expansions

Details Chiral critical behavior in two dimensions from five-loop renormalization-group expansions Chiral critical behavior in two dimensions from five-loop renormalization-group expansions

2002-07-07

arxiv.org/abs/cond-mat/0207187v2

Phys.Rev. B67 (2003) 024413

Physics

Condensed Matter

Statistical Mechanics

17 pages, 12 figures

Scientific paper

10.1103/PhysRevB.67.024413

We analyse the critical behavior of two-dimensional N-vector spin systems with noncollinear order within the five-loop renormalization-group approximation. The structure of the RG flow is studied for different N leading to the conclusion that the chiral fixed point governing the critical behavior of physical systems with N = 2 and N = 3 does not coincide with that given by the 1/N expansion. We show that the stable chiral fixed point for $N \le N^*$, including N = 2 and N = 3, turns out to be a focus. We give a complete characterization of the critical behavior controlled by this fixed point, also evaluating the subleading crossover exponents. The spiral-like approach of the chiral fixed point is argued to give rise to unusual crossover and near-critical regimes that may imitate varying critical exponents seen in numerous physical and computer experiments.

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