{"id":452,"date":"2026-06-10T14:28:56","date_gmt":"2026-06-10T20:28:56","guid":{"rendered":"https:\/\/physlabs.colostate.edu\/chengroup\/?p=452"},"modified":"2026-06-10T14:28:57","modified_gmt":"2026-06-10T20:28:57","slug":"seeing-hidden-order-in-kagome-spin-ice","status":"publish","type":"post","link":"https:\/\/physlabs.colostate.edu\/chengroup\/2026\/06\/10\/seeing-hidden-order-in-kagome-spin-ice\/","title":{"rendered":"Seeing Hidden Order in Kagome Spin Ice"},"content":{"rendered":"<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"274\" src=\"https:\/\/physlabs.colostate.edu\/chengroup\/wp-content\/uploads\/sites\/8\/2026\/06\/Picture1-300x274.png\" alt=\"\" class=\"wp-image-453\" srcset=\"https:\/\/physlabs.colostate.edu\/chengroup\/wp-content\/uploads\/sites\/8\/2026\/06\/Picture1-300x274.png 300w, https:\/\/physlabs.colostate.edu\/chengroup\/wp-content\/uploads\/sites\/8\/2026\/06\/Picture1-1024x937.png 1024w, https:\/\/physlabs.colostate.edu\/chengroup\/wp-content\/uploads\/sites\/8\/2026\/06\/Picture1-768x702.png 768w, https:\/\/physlabs.colostate.edu\/chengroup\/wp-content\/uploads\/sites\/8\/2026\/06\/Picture1-750x686.png 750w, https:\/\/physlabs.colostate.edu\/chengroup\/wp-content\/uploads\/sites\/8\/2026\/06\/Picture1.png 1077w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/figure>\n<\/div>\n\n\n<p>Frustrated magnets are fascinating partly because they often refuse to order in the usual way. In kagome spin ice, the magnetic moments are constrained by a local &#8220;ice rule&#8221;, which produces many nearly equivalent spin configurations and makes conventional magnetic order difficult to establish, as well as to characterize. This becomes especially subtle when the ordered state breaks time-reversal symmetry but carries no net magnetization. <\/p>\n\n\n\n<p>In a recent collaboration [1], we studied this problem in the kagome spin-ice compound HoAgGe. Using neutron scattering, thermodynamic measurements, and Monte Carlo simulations, we found that HoAgGe orders through a three-dimensional XY transition. This is an interesting and previously unexplored ordering pathway for quasi-two-dimensional kagome spin ice realized in an actual crystal. <\/p>\n\n\n\n<p>A key message of the work is that nonlinear susceptibility can reveal hidden time-reversal-symmetry breaking even when there is no macroscopic magnetic moment. In HoAgGe, the two time-reversal-related ground states cannot be easily distinguished by linear magnetic response, but they respond differently at nonlinear order. Microscopically, this behavior is tied to ice-rule-compatible one-spin-flip excitations, suggesting that the effect is not a peculiarity of HoAgGe but a more general property of kagome spin ice with the same type of ground state.<\/p>\n\n\n\n<p>We hope this work helps establish nonlinear magnetic susceptibility as a useful probe of hidden magnetic order in frustrated magnets. More broadly, it shows that real kagome spin-ice materials can host ordering phenomena that are richer than those captured by idealized two-dimensional models, and may continue to inspire new theoretical and experimental developments in frustrated magnetism.<\/p>\n\n\n\n<p>[1] <a href=\"https:\/\/journals.aps.org\/prx\/abstract\/10.1103\/xl5f-zj9p\">K. Zhao, H. Deng, H. Chen, N. Ma, N. Oefele, J. Guo, X. Cui, C. Tang, M. J. Gutmann, T. Mueller, Y. Su, V. Hutanu, C. Jin, and P. Gegenwart, \u201cThree-Dimensional XY Universality and Nonlinear Magnetic Susceptibility in a Kagome Ice Compound\u201d, <em>Physical Review X<\/em> <strong>16<\/strong>, 021043 (2026)<\/a>.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Frustrated magnets are fascinating partly because they often refuse to order in the usual way. In kagome spin ice, the magnetic moments are constrained by a local &#8220;ice rule&#8221;, which produces many nearly equivalent spin configurations and makes conventional magnetic order difficult to establish, as well as to characterize. This becomes especially subtle when the &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/physlabs.colostate.edu\/chengroup\/2026\/06\/10\/seeing-hidden-order-in-kagome-spin-ice\/\">Continue reading<\/a><\/p>\n","protected":false},"author":36,"featured_media":453,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_kad_blocks_custom_css":"","_kad_blocks_head_custom_js":"","_kad_blocks_body_custom_js":"","_kad_blocks_footer_custom_js":"","footnotes":""},"categories":[3],"tags":[5,11],"class_list":["post-452","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-new-papers","tag-antiferromagnet","tag-kagome-spin-ice","item-wrap"],"taxonomy_info":{"category":[{"value":3,"label":"new papers"}],"post_tag":[{"value":5,"label":"antiferromagnet"},{"value":11,"label":"kagome spin ice"}]},"featured_image_src_large":["https:\/\/physlabs.colostate.edu\/chengroup\/wp-content\/uploads\/sites\/8\/2026\/06\/Picture1-1024x937.png",750,686,true],"author_info":{"display_name":"huachen","author_link":"https:\/\/physlabs.colostate.edu\/chengroup\/author\/huachen\/"},"comment_info":0,"category_info":[{"term_id":3,"name":"new papers","slug":"new-papers","term_group":0,"term_taxonomy_id":3,"taxonomy":"category","description":"","parent":0,"count":12,"filter":"raw","cat_ID":3,"category_count":12,"category_description":"","cat_name":"new papers","category_nicename":"new-papers","category_parent":0}],"tag_info":[{"term_id":5,"name":"antiferromagnet","slug":"antiferromagnet","term_group":0,"term_taxonomy_id":5,"taxonomy":"post_tag","description":"","parent":0,"count":3,"filter":"raw"},{"term_id":11,"name":"kagome spin ice","slug":"kagome-spin-ice","term_group":0,"term_taxonomy_id":11,"taxonomy":"post_tag","description":"","parent":0,"count":1,"filter":"raw"}],"_links":{"self":[{"href":"https:\/\/physlabs.colostate.edu\/chengroup\/wp-json\/wp\/v2\/posts\/452","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/physlabs.colostate.edu\/chengroup\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/physlabs.colostate.edu\/chengroup\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/physlabs.colostate.edu\/chengroup\/wp-json\/wp\/v2\/users\/36"}],"replies":[{"embeddable":true,"href":"https:\/\/physlabs.colostate.edu\/chengroup\/wp-json\/wp\/v2\/comments?post=452"}],"version-history":[{"count":1,"href":"https:\/\/physlabs.colostate.edu\/chengroup\/wp-json\/wp\/v2\/posts\/452\/revisions"}],"predecessor-version":[{"id":454,"href":"https:\/\/physlabs.colostate.edu\/chengroup\/wp-json\/wp\/v2\/posts\/452\/revisions\/454"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/physlabs.colostate.edu\/chengroup\/wp-json\/wp\/v2\/media\/453"}],"wp:attachment":[{"href":"https:\/\/physlabs.colostate.edu\/chengroup\/wp-json\/wp\/v2\/media?parent=452"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physlabs.colostate.edu\/chengroup\/wp-json\/wp\/v2\/categories?post=452"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physlabs.colostate.edu\/chengroup\/wp-json\/wp\/v2\/tags?post=452"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}