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

S. A. Antonenko, A. I. Sokolov, K. B. Varnashev

cond-mat.stat-mecharXiv:cond-mat/9803377

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.

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