Periodic planar lattices are built via iterative triangulation to have arbitrarily high Ising critical temperatures, with Tc scaling as (2/ln2) ln q_max and Apollonian lattices conjectured optimal.
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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.
Numerical simulations reveal that anyonic statistics phase and synthetic gauge flux induce asymmetric transport, dynamical symmetries, and tunable chiral or antichiral expansion dynamics in interacting two-component anyon-Hubbard models.
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Families of planar lattices with arbitrarily high $T_{\rm c}$ for the ferromagnetic Ising model
Periodic planar lattices are built via iterative triangulation to have arbitrarily high Ising critical temperatures, with Tc scaling as (2/ln2) ln q_max and Apollonian lattices conjectured optimal.
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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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Asymmetric and chiral dynamics of two-component anyons with synthetic gauge flux
Numerical simulations reveal that anyonic statistics phase and synthetic gauge flux induce asymmetric transport, dynamical symmetries, and tunable chiral or antichiral expansion dynamics in interacting two-component anyon-Hubbard models.