Chiral transitions in three-dimensional magnets and higher order \epsilon-expansion

A. I. Sokolov; K. B. Varnashev (Saint Petersburg Electrotechnical University; Russia); S. A. Antonenko; St.Petersburg

arxiv: cond-mat/9803377 · v1 · submitted 1998-03-31 · ❄️ cond-mat.stat-mech

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

S. A. Antonenko , A. I. Sokolov , K. B. Varnashev (Saint Petersburg Electrotechnical University , St.Petersburg , Russia) This is my paper

classification ❄️ cond-mat.stat-mech

keywords chiralmagnetsordertransitionsanalyzedantiferromagnetsapproximationbehaviour

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

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

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