Classical symmetry enriched topological orders and distinct monopole charges for dipole-octupole spin ices

Fuente: arXiv
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Main Authors: Zhao, Pengwei, Chen, Gang v.
Format: Preprint
Published: 2025
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author Zhao, Pengwei
Chen, Gang v.
author_facet Zhao, Pengwei
Chen, Gang v.
contents Distinct symmetry enriched topological orders often do not have classical distinctions. Motivated by the recent progress on the pyrochlore spin ice materials based on the dipole-octupole doublets, we argue that the dipolar spin liquid and the octupolar spin liquid can be distinguished through the magnetic charges of the magnetic monopoles in the classical spin ice regime. It is observed and predicted that the long-range dipole-dipole interaction renders the magnetic monopole of the dipolar spin ice a finite magnetic charge via the dumbbell picture even in the classical regime. For the octupolar spin ice, however, a zero magnetic charge is expected from this mechanism in the classical regime. We expect this smoking-gun observation to resolve the debate on the nature of Ce$_2$Sn$_2$O$_7$, and more broadly, this work may inspire further experiments and thoughts on the Ce-pyrochlore spin liquids, Nd-pyrochlore antiferromagnets, Er-based spinels, and the distinct properties of the emergent quasiparticles in various symmetry enriched topological phases.
format Preprint
id arxiv_https___arxiv_org_abs_2505_07805
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Classical symmetry enriched topological orders and distinct monopole charges for dipole-octupole spin ices
Zhao, Pengwei
Chen, Gang v.
Strongly Correlated Electrons
Materials Science
Distinct symmetry enriched topological orders often do not have classical distinctions. Motivated by the recent progress on the pyrochlore spin ice materials based on the dipole-octupole doublets, we argue that the dipolar spin liquid and the octupolar spin liquid can be distinguished through the magnetic charges of the magnetic monopoles in the classical spin ice regime. It is observed and predicted that the long-range dipole-dipole interaction renders the magnetic monopole of the dipolar spin ice a finite magnetic charge via the dumbbell picture even in the classical regime. For the octupolar spin ice, however, a zero magnetic charge is expected from this mechanism in the classical regime. We expect this smoking-gun observation to resolve the debate on the nature of Ce$_2$Sn$_2$O$_7$, and more broadly, this work may inspire further experiments and thoughts on the Ce-pyrochlore spin liquids, Nd-pyrochlore antiferromagnets, Er-based spinels, and the distinct properties of the emergent quasiparticles in various symmetry enriched topological phases.
title Classical symmetry enriched topological orders and distinct monopole charges for dipole-octupole spin ices
topic Strongly Correlated Electrons
Materials Science
url https://arxiv.org/abs/2505.07805