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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Numerical tensor-network study identifies Néel, Ising, collinear, and incommensurate spiral phases plus their transitions in the J1-J2 XY antiferromagnet on the honeycomb lattice.
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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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Magnetic phases in the $J_{1}$-$J_{2}$ antiferromagnetic XY model on the honeycomb lattice
Numerical tensor-network study identifies Néel, Ising, collinear, and incommensurate spiral phases plus their transitions in the J1-J2 XY antiferromagnet on the honeycomb lattice.