Dipolar order by disorder in the classical Heisenberg antiferromagnet on the kagome lattice

Abstract

Ever since the experiments which founded the field of highly frustrated magnetism, the kagome Heisenberg antiferromagnet has been the archetypical setting for the study of fluctuation induced exotic ordering. To this day the nature of its classical low-temperature state has remained a mystery: the non-linear nature of the fluctuations around the exponentially numerous harmonically degenerate ground states has not permitted a controlled theory, while its complex energy landscape has precluded numerical simulations at low temperature. Here we present an efficient Monte Carlo algorithm which removes the latter obstacle. Our simulations detect a low-temperature regime in which correlations saturate at a remarkably small value. Feeding these results into an effective model and analyzing the results in the framework of an appropriate field theory implies the presence of long-range dipolar spin order with a tripled unit cell.

5 pages, 4 figures

References in corpus (4)

• Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet
• Octupolar ordering of classical kagome antiferromagnets in two and three dimensions
• Fictitious excitations in the classical Heisenberg antiferromagnet on the kagome lattice
• Loop algorithm for classical Heisenberg models with spin-ice type degeneracy

Cited by in corpus (27)

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• Semi-classical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice
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• Order-by-disorder near criticality in $XY$ pyrochlore magnets
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Finite-temperature crossover phenomenon in the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice
• Jammed spin liquid in the bond-disordered kagome Heisenberg antiferromagnet
• Non-Coplanar Magnetic Orders in Classical Square-Kagome Antiferromagnets
• Emergent Potts Order in a Coupled Hexatic-Nematic XY model
• Colorings of odd or even chirality on hexagonal lattices
• Order by disorder in classical kagome antiferromagnets with chiral interactions
• Persistence of the flat band in a kagome magnet with dipolar interactions
• Spin-liquid phase and order-by-disorder of classical Heisenberg spins on the swedenborgite lattice
• Color ice states, weathervane modes, and order by disorder in the bilinear-biquadratic pyrochlore Heisenberg antiferromagnet
• Classification of Classical Spin Liquids: Topological Quantum Chemistry and Crystalline Symmetry
• Classical Heisenberg and planar spin models on the windmill lattice
• Strain tuning of highly frustrated magnets: Order and disorder in the distorted kagome Heisenberg antiferromagnet
• Human-machine collaboration: ordering mechanism of rank-2 spin liquid on breathing pyrochlore lattice
• Quantum order by disorder in Frustrated Spin Nanotubes
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• Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
• Evidence of Low-Energy Singlet Excited States in the Spin-1/2 Polyhedral Clusters {Mo${}_{72}$V${}_{30}$} and {W${}_{72}$V${}_{30}$} with Strongly Frustrated Kagomé Networks
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
• The magnetization process of classical Heisenberg magnets with non-coplanar cuboc ground states
• Phase-space networks and connectivity of the kagome antiferromagnet
• Honeycomb-lattice Gamma model in a magnetic field: hidden Néel order and spin-flop transition