Octupolar ordering of classical kagome antiferromagnets in two and three dimensions

2008/05/31 by M. E. Zhitomirsky · 4 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Algebraic structures and combinatorial models #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.78.094423

published as Phys. Rev. B 78, 094423 (2008). · 12+ pages, 14 figures, accepted version

arxiv created 2008/09/16 · openalex publication_date 2008/09/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

Classical Heisenberg antiferromagnets on two-dimensional kagome and three-dimensional hyperkagome lattices are investigated by Monte Carlo simulations. For both models the symmetry-breaking states at low temperatures are described by nonzero octupole moments or third-rank spin tensor order parameters. In the case of the two-dimensional kagome antiferromagnet, a sharp crossover into a coplanar state takes place at T_k\ensuremath≈0.004J, which we attribute to proliferation of fractional vortices. The three-dimensional model exhibits a first-order transition at T_c\ensuremath≈0.002J into a phase with critical spin correlations, which possesses a long-range order of octupole moments.

Citations

• Evidence for a topological transition in nematic-to-isotropic phase transition in two dimensions
• Theory of the [111] magnetization plateau in spin ice
• Zambezi River Authority
• Possible Néel orderings of the Kagomé antiferromagnet
• Enhanced magnetocaloric effect in frustrated magnets

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