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cond-mat.dis-nn2026
Curvature-amplified angular localization of radially localized states
Hiroyuki Shima
We study a continuum Schrödinger particle on a surface of constant curvature subject to a radial random potential and a weaker angle-dependent perturbation. Exact angular-momentum…
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…