Octupolar ordering of classical kagome antiferromagnets in two and three dimensions

Details Octupolar ordering of classical kagome antiferromagnets in two and three dimensions Octupolar ordering of classical kagome antiferromagnets in two and three dimensions

2008-05-06

arxiv.org/abs/0805.0676v2

Phys. Rev. B 78, 094423 (2008).

Physics

Condensed Matter

Strongly Correlated Electrons

12+ pages, 14 figures, accepted version

Scientific paper

10.1103/PhysRevB.78.094423

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.

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