15 citations · 15 across the 2 of their papers we have counts for
4 papers
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…
Novel scaling behavior of the Ising model on curved surfaces
Isaku Hasegawa, Yasunori Sakaniwa, Hiroyuki Shima
We demonstrate the nontrivial scaling behavior of Ising models defined on (i) a donut-shaped surface and (ii) a curved surface with a constant negative curvature. By performing Mon…
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…