{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,30]],"date-time":"2026-09-30T09:39:16Z","timestamp":1790761156905,"version":"4.1.0"},"reference-count":34,"publisher":"American Physical Society (APS)","issue":"13","license":[{"start":{"date-parts":[[2021,4,20]],"date-time":"2021-04-20T00:00:00Z","timestamp":1618876800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["JP20H01825"],"award-info":[{"award-number":["JP20H01825"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["JP18K03447"],"award-info":[{"award-number":["JP18K03447"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002241","name":"Japan Science and Technology Agency","doi-asserted-by":"publisher","award":["JPMJPR18LA"],"award-info":[{"award-number":["JPMJPR18LA"]}],"id":[{"id":"10.13039\/501100002241","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. B"],"accepted":{"date-parts":[[2021,4,5]]},"abstract":"<jats:p>Recent studies revealed that the electric multipole moments of insulators result in fractional electric charges localized to the hinges and corners of the sample. We here explore the magnetic analog of this relation. We show that a collinear antiferromagnet with spin <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><a:mi>S<\/a:mi><\/a:math> defined on a <b:math xmlns:b=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><b:mi>d<\/b:mi><\/b:math>-dimensional cubic lattice features fractionally quantized magnetization <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><c:mrow><c:msubsup><c:mi>M<\/c:mi><c:mrow><c:mtext>c<\/c:mtext><\/c:mrow><c:mi>z<\/c:mi><\/c:msubsup><c:mo>=<\/c:mo><c:mi>S<\/c:mi><c:mo>\/<\/c:mo><c:msup><c:mn>2<\/c:mn><c:mi>d<\/c:mi><\/c:msup><\/c:mrow><\/c:math> at the corners. We find that the quantization is robust even in the presence of gapless excitations originating from the spontaneous formation of the N\u00e9el order, although the localization length diverges, suggesting a power-law localization of the corner magnetization. When the spin rotational symmetry about the <d:math xmlns:d=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><d:mi>z<\/d:mi><\/d:math> axis is explicitly broken, the corner magnetization is no longer sharply quantized. Even in this case, we numerically find that the deviation from the quantized value is negligibly small based on quantum Monte Carlo simulations.<\/jats:p>","DOI":"10.1103\/physrevb.103.134430","type":"journal-article","created":{"date-parts":[[2021,4,20]],"date-time":"2021-04-20T10:22:36Z","timestamp":1618914156000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":5,"title":["Fractional corner magnetization of collinear antiferromagnets"],"prefix":"10.1103","volume":"103","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8112-021X","authenticated-orcid":true,"given":"Haruki","family":"Watanabe","sequence":"first","affiliation":[{"name":"Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5359-826X","authenticated-orcid":true,"given":"Yasuyuki","family":"Kato","sequence":"additional","affiliation":[{"name":"Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hoi Chun","family":"Po","sequence":"additional","affiliation":[{"name":"Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0707-366X","authenticated-orcid":true,"given":"Yukitoshi","family":"Motome","sequence":"additional","affiliation":[{"name":"Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2021,4,20]]},"reference":[{"key":"PhysRevB.103.134430Cc1R1","doi-asserted-by":"publisher","DOI":"10.1126\/science.aah6442"},{"key":"PhysRevB.103.134430Cc2R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.96.245115"},{"key":"PhysRevB.103.134430Cc3R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.2.043012"},{"key":"PhysRevB.103.134430Cc4R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.102.165120"},{"key":"PhysRevB.103.134430Cc5R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.103.035147"},{"key":"PhysRevB.103.134430Cc6R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.2.012067"},{"key":"PhysRevB.103.134430Cc8R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.2.033192"},{"key":"PhysRevB.103.134430Cc10R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.99.245151"},{"key":"PhysRevB.103.134430Cc11R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.48.3844"},{"key":"PhysRevB.103.134430Cc12R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.85.075125"},{"key":"PhysRevB.103.134430Cc13R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.114.177204"},{"key":"PhysRevB.103.134430Cc14R1","volume-title":"Classical Electrodynamics","author":"J.\u00a0D. 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