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cond-mat.stat-mech2026
Families of planar lattices with arbitrarily high for the ferromagnetic Ising model
Davidson Noby Joseph, Connor M. Walsh, Igor Boettcher
We construct families of periodic tessellations of the plane with arbitrarily high critical temperature, , for the classical nearest-neighbor ferromagnetic Ising model.…
cond-mat.stat-mech2026★ 1 cited
Exact critical-temperature bounds for two-dimensional Ising models
Davidson Noby Joseph, Igor Boettcher
We derive exact critical-temperature bounds for the classical ferromagnetic Ising model on two-dimensional periodic tessellations of the plane. For any such tessellation or lattice…
cond-mat.stat-mech2025★ 2 cited
Walking on Archimedean Lattices: Insights from Bloch Band Theory
Davidson Noby Joseph, Igor Boettcher
Returning walks on a lattice are sequences of moves that start at a given lattice site and return to the same site after steps. Determining the total number of returning walks…