{"id":105527,"date":"2020-04-16T11:42:43","date_gmt":"2020-04-16T18:42:43","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2020\/04\/a-quantum-liquid-of-magnetic-octupoles-on-the-pyrochlore-lattice"},"modified":"2020-04-16T11:42:43","modified_gmt":"2020-04-16T18:42:43","slug":"a-quantum-liquid-of-magnetic-octupoles-on-the-pyrochlore-lattice","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2020\/04\/a-quantum-liquid-of-magnetic-octupoles-on-the-pyrochlore-lattice","title":{"rendered":"A quantum liquid of magnetic octupoles on the pyrochlore lattice"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/a-quantum-liquid-of-magnetic-octupoles-on-the-pyrochlore-lattice.jpg\"><\/a><\/p>\n<p>O,.o maybe this could make computronium.<\/p>\n<hr>\n<p>Spin liquids are highly correlated yet disordered states formed by the entanglement of magnetic dipoles<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 1\" title=\"Savary, L. & Balents, L. Quantum spin liquids: a review. Rep. Prog. Phys. 80, 016502 (2016).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0827-7#ref-CR1\" id=\"ref-link-section-d72857e560\">1<\/a><\/sup>. Theories define such states using gauge fields and deconfined quasiparticle excitations that emerge from a local constraint governing the ground state of a frustrated magnet. For example, the \u20182-in\u20132-out\u2019 ice rule for dipole moments on a tetrahedron can lead to a quantum spin ice<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Hermele, M., Fisher, M. P. A. & Balents, L. Pyrochlore photons: The U spin liquid in a S\u2009=\u2009\u00bd three-dimensional frustrated magnet. Phys. Rev. B 69, 064404 (2004).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0827-7?proof=true#ref-CR2\" id=\"ref-link-section-d72857e564\">2<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Benton, O., Sikora, O. & Shannon, N. Seeing the light: experimental signatures of emergent electromagnetism in a quantum spin ice. Phys. Rev. B 86, 075154 (2012).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0827-7?proof=true#ref-CR3\" id=\"ref-link-section-d72857e564_1\">3<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 4\" title=\"Gingras, M. J. P. & McClarty, P. A. Quantum spin ice: a search for gapless quantum spin liquids in pyrochlore magnets. Rep. Prog. Phys. 77, 056501 (2014).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0827-7#ref-CR4\" id=\"ref-link-section-d72857e567\">4<\/a><\/sup> in rare-earth pyrochlores. However, <i>f<\/i>-electron ions often carry multipole degrees of freedom of higher rank than dipoles, leading to intriguing behaviours and \u2018hidden\u2019 orders<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 5\" title=\"Kuramoto, Y., Kusunose, H. & Kiss, A. Multipole orders and fluctuations in strongly correlated electron systems. J. Phys. Soc. Jpn 78, 072001 (2009).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0827-7#ref-CR5\" id=\"ref-link-section-d72857e574\">5<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 6\" title=\"Santini, P. et al. Multipolar interactions in f-electron systems: the paradigm of actinide dioxides. Rev. Mod. Phys. 81, 807&ndash;863 (2009).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0827-7#ref-CR6\" id=\"ref-link-section-d72857e577\">6<\/a><\/sup>. Here we show that the correlated ground state of a Ce<sup>3+<\/sup>-based pyrochlore, Ce<sub>2<\/sub>Sn<sub>2<\/sub>O<sub>7<\/sub>, is a quantum liquid of magnetic octupoles. Our neutron scattering results are consistent with a fluid-like state where degrees of freedom have a more complex magnetization density than that of magnetic dipoles. The nature and strength of the octupole\u2013octupole couplings, together with the existence of a continuum of excitations attributed to spinons, provides further evidence for a quantum ice of octupoles governed by a \u20182-plus\u20132-minus\u2019 rule<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 7\" title=\"Huang, Y.-P., Chen, G. & Hermele, M. Quantum spin ices and topological phases from dipolar&ndash;octupolar doublets on the pyrochlore lattice. Phys. Rev. Lett. 112, 167203 (2014).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0827-7#ref-CR7\" id=\"ref-link-section-d72857e590\">7<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 8\" title=\"Li, Y.-D. & Chen, G. Symmetry enriched U topological orders for dipole&ndash;octupole doublets on a pyrochlore lattice. Phys. Rev. B 95, 041106 (2017).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0827-7#ref-CR8\" id=\"ref-link-section-d72857e593\">8<\/a><\/sup>. Our work identifies Ce<sub>2<\/sub>Sn<sub>2<\/sub>O<sub>7<\/sub> as a unique example of frustrated multipoles forming a \u2018hidden\u2019 topological order, thus generalizing observations on quantum spin liquids to multipolar phases that can support novel types of emergent fields and excitations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>O,.o maybe this could make computronium. Spin liquids are highly correlated yet disordered states formed by the entanglement of magnetic dipoles1. Theories define such states using gauge fields and deconfined quasiparticle excitations that emerge from a local constraint governing the ground state of a frustrated magnet. For example, the \u20182-in\u20132-out\u2019 ice rule for dipole moments [\u2026]<\/p>\n","protected":false},"author":513,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1617],"tags":[],"class_list":["post-105527","post","type-post","status-publish","format-standard","hentry","category-quantum-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/105527","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/513"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=105527"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/105527\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=105527"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=105527"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=105527"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}