Chiral transitions in three-dimensional magnets and higher order ε-expansion

Abstract

The critical behaviour of helimagnets and stacked triangular antiferromagnets is analyzed in (4 - ε) dimensions within three-loop approximation. Numerical estimates for marginal values of the order parameter dimensionality N obtained by resummation of corresponding ε-expansions rule out the possibility of continuous chiral transitions in magnets with Heisenberg or planar spins.

6 pages, TeX, no figures

References in corpus (2)

• Critical exponents for 3D O(n)-symmetric model with n > 3
• Phase transitions in anisotropic superconducting and magnetic systems with vector order parameters: Three-loop renormalization-group analysis

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