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Survival of short-range order in the Ising model on negatively curved surfaces

Survival of short-range order in the Ising model on negatively curved surfaces

We examine the ordering behavior of the ferromagnetic Ising lattice model defined on a surface with a constant negative curvature. Small-sized ferromagnetic domains are observed to exist at temperatures far greater than the critical temperature, at which the inner-core region of the lattice undergoes a mean-field phase transition. The survival …