Geometric criticality between plaquette phases in integer-spin kagome XXZ antiferromagnets

Abstract

The phase diagram of the uniaxially anisotropic $s=1$ antiferromagnet on the kagomé lattice includes a critical line exactly described by the classical three-color model. This line is distinct from the standard geometric classical criticality that appears in the classical limit ($s\to \infty$) of the 2D XY model; the $s=1$ geometric T=0 critical line separates two unconventional plaquette-ordered phases that survive to nonzero temperature. The experimentally important correlations at finite temperature and the nature of the transitions into these ordered phases are obtained using the mapping to the three-color model and a combination of perturbation theory and a variational ansatz for the ordered phases. The ordered phases show sixfold symmetry breaking and are similar to phases proposed for the honeycomb lattice dimer model and $s=1/2$ $XXZ$ model. The same mapping and phase transition can be realized also for integer spins $s\ge 2$ but then require strong on-site anisotropy in the Hamiltonian.

5 pages, 2 figures

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Cited by in corpus (9)

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• Bose condensation in flat bands
• Resonating color state and emergent chromodynamics in the kagome antiferromagnet
• Resonating plaquette phase of a quantum six-vertex model
• Global phase diagram of the spin-1 antiferromagnet with uniaxial anisotropy on the kagome lattice
• Frustrated colloidal ordering and fully packed loops in arrays of optical traps
• Spontaneous trimerization in two-dimensional Antiferromagnets
• A mean field approach for string condensed states
• Quantum order by disorder in a spin-one frustrated magnet on the kagome lattice