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Topological Phase Transitions and Their Thermodynamic Fate in Arbitrary-$S$ Classical Pyrochlore Spin Ice
We develop a self-contained theoretical framework that classifies the topological phases and critical phenomena of classical pyrochlore magnets with arbitrary spin $S$, subject to competing exchange and single-ion anisotropies. We work first in the monopole-free (ice-rule) limit. In the small-$w$ re
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