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TT: Fachverband Tiefe Temperaturen
TT 86: Correlated Magnetism – Spin Liquids II
TT 86.1: Talk
Thursday, March 12, 2026, 15:00–15:15, CHE/0091
Classical spin liquids from frustrated Ising models in hyperbolic space — •Fabian Köhler1, Johanna Erdmenger2, Roderich Moessner3, and Matthias Vojta1 — 1Institut für Theoretische Physik and Würzburg-Dresden Cluster of Excellence ct.qmat, Technische Universität Dresden, 01062 Dresden, Germany — 2Institute for Theoretical Physics and Astrophysics and Würzburg-Dresden Cluster of Excellence ct.qmat, Julius-Maximilians-Universität Würzburg, Am Hubland, 97074 Würzburg, Germany — 3Max-Planck-Institut für Physik komplexer Systeme and Würzburg-Dresden Cluster of Excellence ct.qmat, Nöthnitzer Str. 40, 01187 Dresden
Antiferromagnetic Ising models on frustrated lattices can realize classical spin liquids, with highly degenerate ground states and, possibly, fractionalized excitations and emergent gauge fields. Moti- vated by the recent interest in many-body system in negatively curved space, we study hyperbolic frustrated Ising models. Specifically, we consider nearest-neighbor Ising models on tesselations with odd-length loops in two-dimensional hyperbolic space. For finite systems with open boundaries we determine the ground-state degeneracy exactly, and we perform extensive finite-temperature Monte-Carlo simulations to obtain thermodynamic data as well as correlation functions. We show that the shape of the boundary, constituting an extensive part of the system, can be used to control low-energy states: Depending on the boundary, we find ordered or disordered ground states. Our results demonstrate how geometric frustration acts in curved space to produce classical spin liquids.
Keywords: Frustrated Magnetism; Hyperbolic Geometry; Markov Chain Monte Carlo Method; Classical Spin Systems