15 citations · 15 across the 2 of their papers we have counts for
2 papers
cond-mat.stat-mech2009
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…
cond-mat.dis-nn2006★ 15 cited
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…