46 citations · 296 across the 13 of their papers we have counts for
5 papers · 1 filter
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…
Percolation on hyperbolic lattices
Seung Ki Baek, Petter Minnhagen, Beom Jun Kim
The percolation transitions on hyperbolic lattices are investigated numerically using finite-size scaling methods. The existence of two distinct percolation thresholds is verified.…
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,…
Diffusion on a heptagonal lattice
Seung Ki Baek, Su Do Yi, Beom Jun Kim
We study the diffusion phenomena on the negatively curved surface made up of congruent heptagons. Unlike the usual two-dimensional plane, this structure makes the boundary increase…
Phase Transition of XY Model in Heptagonal Lattice
Seung Ki Baek, Petter Minnhagen, Beom Jun Kim
We numerically investigate the nature of the phase transition of the XY model in the heptagonal lattice with the negative curvature, in comparison to other interaction structures s…