{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,7]],"date-time":"2026-10-07T17:01:48Z","timestamp":1791392508362,"version":"4.3.3"},"reference-count":95,"publisher":"IOP Publishing","issue":"40","license":[{"start":{"date-parts":[[2026,10,7]],"date-time":"2026-10-07T00:00:00Z","timestamp":1791331200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2026,10,7]],"date-time":"2026-10-07T00:00:00Z","timestamp":1791331200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"name":"HPCI System Research project","award":["hp220043"],"award-info":[{"award-number":["hp220043"]}]},{"name":"KAKENHI","award":["20K03866"],"award-info":[{"award-number":["20K03866"]}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["J. Phys.: Condens. Matter"],"published-print":{"date-parts":[[2026,10,9]]},"abstract":"Abstract<\/jats:title>\n \n Recent advances in the orthogonal-dimer spin-\n \n \n \n <\/jats:tex-math>\n \n \n S<\/mml:mi>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n Heisenberg antiferromagnet are reviewed. This model has been examined for more than 40 years since it was originally studied by Shastry and Sutherland. The discovery of SrCu\n \n \n \n <\/jats:tex-math>\n \n \n \n \n 2<\/mml:mn>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n (BO\n \n \n \n <\/jats:tex-math>\n \n \n \n \n 3<\/mml:mn>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n )\n \n \n \n <\/jats:tex-math>\n \n \n \n \n 2<\/mml:mn>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n as a good candidate material for the\n \n \n \n <\/jats:tex-math>\n \n \n S<\/mml:mi>\n =<\/mml:mo>\n 1<\/mml:mn>\n \n \/<\/mml:mo>\n <\/mml:mrow>\n 2<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n system led to a considerable advancement in subsequent research. In the case when\n \n \n \n <\/jats:tex-math>\n \n \n S<\/mml:mi>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n is larger than 1\/2, however, the elucidation of the properties of the system was relatively delayed. In the ground state of general-\n \n \n \n <\/jats:tex-math>\n \n \n S<\/mml:mi>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n systems, interesting quantum phase transitions occur not only for\n \n \n \n <\/jats:tex-math>\n \n \n S<\/mml:mi>\n =<\/mml:mo>\n 1<\/mml:mn>\n \n \/<\/mml:mo>\n <\/mml:mrow>\n 2<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n . In this article, the systematic behavior depending on\n \n \n \n <\/jats:tex-math>\n \n \n S<\/mml:mi>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n which has been recently clarified by unbiased and numerical computational calculations is reviewed. The effects due to spin anisotropy as determined from experimental and theoretical results are also overviewed. We also mention recent developments for the\n \n \n \n <\/jats:tex-math>\n \n \n S<\/mml:mi>\n =<\/mml:mo>\n 1<\/mml:mn>\n \n \/<\/mml:mo>\n <\/mml:mrow>\n 2<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n system.\n <\/jats:p>","DOI":"10.1088\/1361-648x\/ae8e18","type":"journal-article","created":{"date-parts":[[2026,10,7]],"date-time":"2026-10-07T16:47:43Z","timestamp":1791391663000},"page":"403001","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["The spin-\n S<\/i>\n Heisenberg antiferromagnet on the Shastry\u2013Sutherland lattice"],"prefix":"10.1088","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1978-4987","authenticated-orcid":true,"given":"Hiroki","family":"Nakano","sequence":"first","affiliation":[{"name":"University of Hyogo"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4480-4137","authenticated-orcid":false,"given":"Yuko","family":"Hosokoshi","sequence":"additional","affiliation":[{"name":"Osaka Metropolitan University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8689-9018","authenticated-orcid":true,"given":"Toru","family":"Sakai","sequence":"additional","affiliation":[{"name":"University of Hyogo"},{"name":"National Institutes for Quantum and Radiological Science and Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2026,10,7]]},"reference":[{"key":"cmae8e18bib1","doi-asserted-by":"publisher","first-page":"1069","DOI":"10.1016\/0378-4363(81)90838-X","type":"journal-article","volume":"108","author":"Shastry","year":"1981","journal-title":"Physica B+C"},{"key":"cmae8e18bib2","doi-asserted-by":"publisher","first-page":"3168","DOI":"10.1103\/PhysRevLett.82.3168","type":"journal-article","volume":"82","author":"Kageyama","year":"1999","journal-title":"Phys. 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