Dresden 2026 – wissenschaftliches Programm
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MA: Fachverband Magnetismus
MA 7: Poster Magnetism I
MA 7.51: Poster
Montag, 9. März 2026, 09:30–12:30, P2
Altermagnetism on hyperbolic lattices — •Eric Petermann1,2, Kristian Maeland1,2, Haye Hinrichsen1,2, and Björn Trauzettel1,2 — 1Institute for Theoretical Physics and Astrophysics, University of Würzburg, D-97074 Würzburg, Germany — 2Würzburg-Dresden Cluster of Excellence ct.qmat, D-97074 Würzburg, Germany
Altermagnets are a novel class of magnetic systems characterized by their momentum-dependent spin splitting without net magnetization. In this work, we extend established Euclidean tight-binding models of altermagnets to hyperbolic lattices defined on a discretized Poincaré disk. Using hyperbolic crystallography and hyperbolic band theory, we derive and analyze the band structure in these lattices. We discover particular properties of altermagnetism in hyperbolic space, for instance, higher angular momentum spin splitting in two-dimensional real space models. We find that orbital ordering or nonmagnetic sites are not essential to see spin-splitting in hyperbolic lattices, unlike Euclidean space.
Keywords: altermagnet; hyperbolic crystallography; hyperbolic band theory; tight-binding