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TT: Fachverband Tiefe Temperaturen

TT 86: Correlated Magnetism – Spin Liquids II

TT 86.6: Talk

Thursday, March 12, 2026, 16:15–16:30, CHE/0091

N-state Potts ices as generalizations of classical and quantum spin ice — •Mark Potts1, Roderich Moessner1, and Siddharth Parameswaran21Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2Rudolf Peierls Centre for Theoretical Physics, Oxford, UK

Classical and quantum spin ice models are amongst the most popular settings for the study of spin liquid physics. N-state Potts ice models have been constructed that generalize spin ice, hosting multiple emergent U(1) gauge fields and excitations charged under non-trivial combinations of these fields. We present a general treatment of classical N-state Potts ices relating their properties to the su(N) Lie algebras, and demonstrate how the properties of charged excitations in the classical model can be related to this symmetry group. We also introduce quantum generalizations of the Potts Ice models, and demonstrate how charge flavour changing interactions unique to N > 2 models dominate their low energy phase diagram. We further show how symmetries inherited from the su(N) algebra can lead to the frustration of flux vacuum states.

Keywords: Frustration; Spin ice; Potts model; Quantum spin liquid

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