Octupolar ordering of classical kagome antiferromagnets in two and three dimensions

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 non-zero 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 ~ 0.004J, which we attribute to proliferation of fractional vortices. The three-dimensional model exhibits a first-order transition at T_c ~ 0.002J into a phase with critical spin correlations, which possesses a long-range order of octupole moments.

12+ pages, 14 figures, accepted version

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Cited by in corpus (7)

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• Dipolar order by disorder in the classical Heisenberg antiferromagnet on the kagome lattice
• Signature of a Z_2 vortex in the dynamical correlations of the triangular-lattice Heisenberg antiferromagnet
• Classical Heisenberg spins on a hexagonal lattice with Kitaev couplings
• Fictitious excitations in the classical Heisenberg antiferromagnet on the kagome lattice
• Dimers on the Triangular Kagome Lattice