The quadrupolar Kitaev model on the honeycomb lattice shows an extensively degenerate classical manifold and supports gapped or gapless quantum-disordered states via Majorana parton constructions distinguished by symmetry implementations.
The resulting state could either exhibit symmetry-breaking order, corresponding to an order-by- disorder mechanism, or remain quantum disordered and liquid-like
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Exchange-frustrated quadrupoles on the honeycomb lattice: Flavor-wave spectra, classical degeneracies and parton constructions
The quadrupolar Kitaev model on the honeycomb lattice shows an extensively degenerate classical manifold and supports gapped or gapless quantum-disordered states via Majorana parton constructions distinguished by symmetry implementations.