142 citations · 660 across the 50 of their papers we have counts for
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Survival of short-range order in the Ising model on negatively curved surfaces
Yasunori Sakaniwa, Hiroyuki Shima
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…
Phase transition of -state clock models on heptagonal lattices
Seung Ki Baek, Petter Minnhagen, Hiroyuki Shima +1
We study the -state clock models on heptagonal lattices assigned on a negatively curved surface. We show that the system exhibits three classes of equilibrium phases; in between…
Curvature-induced frustration in the model on hyperbolic surfaces
Seung Ki Baek, Hiroyuki Shima, Beom Jun Kim
We study low-temperature properties of the spin model on a negatively curved surface. Geometric curvature of the surface gives rise to frustration in local spin configuration,…
The dynamic exponent of the Ising model on negatively curved surfaces
Hiroyuki Shima, Yasunori Sakaniwa
We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation met…
Geometric effects on critical behaviours of the Ising model
Hiroyuki Shima, Yasunori Sakaniwa
We investigate the critical behaviour of the two-dimensional Ising model defined on a curved surface with a constant negative curvature. Finite-size scaling analysis reveals that t…