Critical behavior of frustrated spin models with noncollinear order

2000/07/25 by Andrea Pelissetto, Paolo Rossi, Ettore Vicari · 100 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Critical dimension #Critical point (mathematics) #Field (mathematics) #Fixed point #Frustration #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Renormalization group #Statistical physics #Theoretical and Computational Physics #Theoretical physics #Universality (dynamical systems) #cond-mat.stat-mech #hep-lat #hep-th

paper · pdf · doi:10.1103/physrevb.63.140414

published in Physical review. B, Condensed matter 63(14) (American Physical Society) · 4 pages, RevTex

arxiv created 2000/07/25 · openalex publication_date 2001/03/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the critical behavior of frustrated spin models with noncollinear order, including stacked triangular antiferromagnets and helimagnets. For this purpose we compute the field-theoretic expansions at a fixed dimension to six loops and determine their large-order behavior. For the physically relevant cases of two and three components, we show the existence of a stable fixed point that corresponds to the conjectured chiral universality class. This contradicts previous three-loop field-theoretical results but is in agreement with experiments.

Citations

• Chiral transitions in three-dimensional magnets and higher order ϵ expansion
• First and second order transition in frustrated XY systems
• First and second order transition of frustrated Heisenberg spin systems
• Frustrated Heisenberg Magnets: A Nonperturbative Approach