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

1995/11/01 by S. A. Antonenko, A. I. Sokolov, K. B. Varnashev · 3 citations
Mathematics · Physics and Astronomy · #Computer science #Condensed matter physics #Curse of dimensionality #Ferromagnetism #Heisenberg model #Magnet #Magnetic properties of thin films #Mathematics #Order (exchange) #Physics #Physics of Superconductivity and Magnetism #Planar #Quantum mechanics #Quantum, superfluid, helium dynamics #Resummation #Spins #Statistical physics #cond-mat.stat-mech

paper · pdf · doi:10.1016/0375-9601(95)00736-m

published as Phys. Lett. A, 208 (1995) 161-164 · 6 pages, TeX, no figures

openalex publication_date 1995/11/01 · arxiv created 1998/03/31 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Cited by

• The nonperturbative functional renormalization group and its applications
• Six-loop ε expansion study of three-dimensional O(n)×O(m) spin models
• Critical behavior of frustrated spin models with noncollinear order