English

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

Statistical Mechanics 2009-10-31 v1

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/9803377,
  title  = {Chiral transitions in three-dimensional magnets and higher order \epsilon-expansion},
  author = {S. A. Antonenko and A. I. Sokolov and K. B. Varnashev},
  journal= {arXiv preprint arXiv:cond-mat/9803377},
  year   = {2009}
}

Comments

6 pages, TeX, no figures