Hybrid Kitaev-Yao-Lee models on common lattices produce magnetic order in spins while preserving orbital topological order, and regain exact solvability when Yao-Lee and square-lattice couplings are equal and opposite.
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Broad multi-spinon continua emerge in the high-energy spectra of ordered Kitaev magnets, offering a mechanism for spectral broadening distinct from conventional magnon decay.
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.
Integrable Floquet time crystals realized in 1D quadratic lattice models from spin chains, with rigid DTC phase, phase diagram showing transitions to Floquet paramagnet, and exponentially diverging lifetime via finite-size scaling.
Additional spin-orbital degrees of freedom produce strong thermal and quantum fluctuations that stabilize disordered nematic phases in the extended Kitaev-Yao-Lee model.
citing papers explorer
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Frustrated magnetic order in hybrid Kitaev spin-orbital models
Hybrid Kitaev-Yao-Lee models on common lattices produce magnetic order in spins while preserving orbital topological order, and regain exact solvability when Yao-Lee and square-lattice couplings are equal and opposite.
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Proximate quantum spin liquids and Majorana continua in magnetically ordered Kitaev magnets
Broad multi-spinon continua emerge in the high-energy spectra of ordered Kitaev magnets, offering a mechanism for spectral broadening distinct from conventional magnon decay.
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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.
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Integrable Floquet Time Crystals in One Dimension
Integrable Floquet time crystals realized in 1D quadratic lattice models from spin chains, with rigid DTC phase, phase diagram showing transitions to Floquet paramagnet, and exponentially diverging lifetime via finite-size scaling.
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Thermal and quantum fluctuations in extended Kitaev-Yao-Lee spin-orbital model
Additional spin-orbital degrees of freedom produce strong thermal and quantum fluctuations that stabilize disordered nematic phases in the extended Kitaev-Yao-Lee model.