Regensburg 2025 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 33: Correlated Magnetism – Spin Liquids

TT 33.1: Talk

Wednesday, March 19, 2025, 15:00–15:15, H33

An Atlas of Classical Pyrochlore Spin Liquids — •Daniel Lozano-Gómez^1,2, Owen Benton³, Michel Gingras², and Han Yan⁴ — ¹Technische Universität Dresden, Dresden, Germany — ²University of Waterloo, Waterloo, Canada — ³Queen Mary University of London, London, United Kingdom — ⁴The University of Tokyo, Kashiwa, Japan

The pyrochlore lattice magnet has been one of the most fruitful platforms for the experimental and theoretical search for spin liquids. Besides the canonical case of spin ice, works in recent years have identified a variety of new quantum and classical spin liquids from the generic nearest-neighbor anisotropic spin Hamiltonian on the pyrochlore lattice. Despite the rich variety of SLs realized in this lattice, a general framework for the classification and characterization of these is still lacking. In this work, we develop such a theoretical framework to allocate interaction parameters stabilizing different classical SLs and derive their corresponding effective generalized emerging Gauss's laws at low-temperatures. Combining this with Monte Carlo simulations, we systematically identify all classical SLs for the general nearest-neighbor anisotropic spin Hamiltonian on the pyrochlore lattice. We uncover new SL models with exotic forms of generalized Gauss's law and multipole conservation laws. Our work serves as a treasure map for the theoretical study of classical and quantum spin liquids, as well as for the experimental search and rationalization of exotic pyrochlore lattice magnets.

Keywords: Spin liquids; Pyrochlores; Gauge theories; Higher-rank