Dipolar spin ice monopoles acquire finite magnetic charge from long-range dipole-dipole interactions via the dumbbell picture even classically, while octupolar spin ice monopoles have zero charge, providing a classical distinction between symmetry-enriched topological orders.
Wen, Colloquium: Zoo of quantum-topological phases of matter, Reviews of Modern Physics89, 041004 (2017)
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Derives universal angle-dependent corner contributions to charge fluctuations in higher-dimensional quantum systems, with benchmarks at O(3) critical points and even-odd effects in metals.
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Classical symmetry enriched topological orders and distinct monopole charges for dipole-octupole spin ices
Dipolar spin ice monopoles acquire finite magnetic charge from long-range dipole-dipole interactions via the dumbbell picture even classically, while octupolar spin ice monopoles have zero charge, providing a classical distinction between symmetry-enriched topological orders.
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Corner Charge Fluctuations in Higher Dimensions
Derives universal angle-dependent corner contributions to charge fluctuations in higher-dimensional quantum systems, with benchmarks at O(3) critical points and even-odd effects in metals.