70 citations · 237 across the 16 of their papers we have counts for
4 papers · 1 filter
The Random-Bond Ising Model and its dual in Hyperbolic Spaces
Benedikt Placke, Nikolas P. Breuckmann
We analyze the thermodynamic properties of the random-bond Ising model (RBIM) on closed hyperbolic surfaces using Monte Carlo and high-temperature series expansion techniques. We a…
Arresting dynamics in hardcore spin models
Benedikt Placke, Grace M. Sommers, S. L. Sondhi +1
We study the dynamics of hardcore spin models on the square and triangular lattice, constructed by analogy to hard spheres, where the translational degrees of freedom of the sphere…
From hard spheres to hard-core spins
Grace M. Sommers, Benedikt Placke, Roderich Moessner +1
A system of hard spheres exhibits physics that is controlled only by their density. This comes about because the interaction energy is either infinite or zero, so all allowed confi…
Critical properties of the Ising model in hyperbolic space
Nikolas P. Breuckmann, Benedikt Placke, Ananda Roy
The Ising model exhibits qualitatively different properties in hyperbolic space in comparison to its flat space counterpart. Due to the negative curvature, a finite fraction of the…