Classification of classical spin liquids: Typology and resulting landscape

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dc.citation.articleNumberL020402en_US
dc.citation.issueNumber2en_US
dc.citation.journalTitlePhysical Review Ben_US
dc.citation.volumeNumber110en_US
dc.contributor.authorYan, Hanen_US
dc.contributor.authorBenton, Owenen_US
dc.contributor.authorMoessner, Roderichen_US
dc.contributor.authorNevidomskyy, Andriy H.en_US
dc.date.accessioned2024-08-02T13:32:08Zen_US
dc.date.available2024-08-02T13:32:08Zen_US
dc.date.issued2024en_US
dc.description.abstractClassical spin liquids (CSL) lack long-range magnetic order and are characterized by an extensive ground-state degeneracy. We propose a classification scheme of CSLs based on the structure of the flat bands of their Hamiltonians. Depending on absence or presence of the gap from the flat band, the CSL are classified as algebraic or fragile topological, respectively. Each category is further classified: the algebraic case by the nature of the emergent Gauss's law at the gap-closing point(s), and the fragile topological case by the homotopy of the eigenvector winding around the Brillouin zone. Previously identified models of CSLs fit snugly into our scheme, on a landscape where algebraic CSLs are located at transitions between fragile topological ones. It also allows us to present new families of models illustrating this landscape, which hosts both fragile topological and algebraic CSLs, as well as transitions between them.en_US
dc.identifier.citationYan, H., Benton, O., Moessner, R., & Nevidomskyy, A. H. (2024). Classification of classical spin liquids: Typology and resulting landscape. Physical Review B, 110(2), L020402. https://doi.org/10.1103/PhysRevB.110.L020402en_US
dc.identifier.digitalPhysRevB-110-L020402en_US
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.110.L020402en_US
dc.identifier.urihttps://hdl.handle.net/1911/117562en_US
dc.language.isoengen_US
dc.publisherAmerican Physical Societyen_US
dc.rightsExcept where otherwise noted, this work is licensed under a Creative Commons Attribution (CC BY) license.  Permission to reuse, publish, or reproduce the work beyond the terms of the license or beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.titleClassification of classical spin liquids: Typology and resulting landscapeen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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