{"id":"https://openalex.org/W2010119044","doi":"https://doi.org/10.1143/jpsj.80.084702","title":"On the Hidden Order in URu2Si2 \u2013 Antiferro Hexadecapole Order and Its Consequences","display_name":"On the Hidden Order in URu2Si2 \u2013 Antiferro Hexadecapole Order and Its Consequences","publication_year":2011,"publication_date":"2011-07-25","ids":{"openalex":"https://openalex.org/W2010119044","doi":"https://doi.org/10.1143/jpsj.80.084702","mag":"2010119044"},"language":"en","primary_location":{"id":"doi:10.1143/jpsj.80.084702","doi":"https://doi.org/10.1143/jpsj.80.084702","is_oa":false,"landing_page_url":"https://doi.org/10.1143/jpsj.80.084702","pdf_url":null,"source":{"id":"https://openalex.org/S119212824","display_name":"Journal of the Physical Society of Japan","issn_l":"0031-9015","issn":["0031-9015","1347-4073"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310313296","host_organization_name":"Physical Society of Japan","host_organization_lineage":["https://openalex.org/P4310313296"],"host_organization_lineage_names":["Physical Society of Japan"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Physical Society of Japan","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1104.2374","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080589581","display_name":"Hiroaki Kusunose","orcid":"https://orcid.org/0000-0002-1542-6675","observed_orcids":["https://orcid.org/0000-0002-1542-6675"]},"institutions":[{"id":"https://openalex.org/I43545212","display_name":"Ehime University","ror":"https://ror.org/017hkng22","country_code":"JP","type":"education","lineage":["https://openalex.org/I43545212"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroaki Kusunose","raw_affiliation_strings":["Department of Physics, Ehime University, Matsuyama 790-8577, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Ehime University, Matsuyama 790-8577, Japan","institution_ids":["https://openalex.org/I43545212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052270076","display_name":"Hisatomo Harima","orcid":"https://orcid.org/0000-0003-1741-4368","observed_orcids":["https://orcid.org/0000-0003-1741-4368"]},"institutions":[{"id":"https://openalex.org/I65837984","display_name":"Kobe University","ror":"https://ror.org/03tgsfw79","country_code":"JP","type":"education","lineage":["https://openalex.org/I65837984"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hisatomo Harima","raw_affiliation_strings":["Department of Physics, Graduate School of Science, Kobe University, Kobe 657-8501, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Graduate School of Science, Kobe University, Kobe 657-8501, Japan","institution_ids":["https://openalex.org/I65837984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.8627,"has_fulltext":true,"cited_by_count":80,"citation_normalized_percentile":{"value":0.97672618,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"80","issue":"8","first_page":"084702","last_page":"084702"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10681","display_name":"Rare-earth and actinide compounds","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10681","display_name":"Rare-earth and actinide compounds","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11682","display_name":"Advanced Condensed Matter Physics","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10037","display_name":"Physics of Superconductivity and Magnetism","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uru2si2","display_name":"URu2Si2","score":0.9890000224113464},{"id":"https://openalex.org/keywords/hidden-order","display_name":"hidden order","score":0.9779999852180481},{"id":"https://openalex.org/keywords/f-electron-magnetism","display_name":"f-electron magnetism","score":0.7260000109672546},{"id":"https://openalex.org/keywords/anisotropy-of-magnetic-susceptibility","display_name":"anisotropy of magnetic susceptibility","score":0.8939999938011169},{"id":"https://openalex.org/keywords/inelastic-neutron-scattering","display_name":"inelastic neutron scattering","score":0.8119999766349792},{"id":"https://openalex.org/keywords/nqr-frequency","display_name":"NQR frequency","score":0.7440000176429749},{"id":"https://openalex.org/keywords/resonant-x-ray-scattering","display_name":"resonant X-ray scattering","score":0.9860000014305115},{"id":"https://openalex.org/keywords/uniaxial-stress","display_name":"uniaxial stress","score":0.890999972820282},{"id":"https://openalex.org/keywords/thermal-expansion","display_name":"thermal expansion","score":0.7379999756813049},{"id":"https://openalex.org/keywords/elastic-constants","display_name":"elastic constants","score":0.9200000166893005},{"id":"https://openalex.org/keywords/order-parameter","display_name":"order parameter","score":0.7300000190734863}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7911999821662903},{"id":"https://openalex.org/C52765159","wikidata":"https://www.wikidata.org/wiki/Q1027847","display_name":"Multipole expansion","level":2,"score":0.7871000170707703},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.6384999752044678},{"id":"https://openalex.org/C39984356","wikidata":"https://www.wikidata.org/wiki/Q2121987","display_name":"Quadrupole","level":2,"score":0.614300012588501},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.5325000286102295},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5317000150680542},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.48910000920295715},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.4609000086784363},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43779999017715454},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4318000078201294},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.41600000858306885},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.41370001435279846},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.3953999876976013},{"id":"https://openalex.org/C85906118","wikidata":"https://www.wikidata.org/wiki/Q186693","display_name":"Phase diagram","level":3,"score":0.38179999589920044},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.38029998540878296},{"id":"https://openalex.org/C154954056","wikidata":"https://www.wikidata.org/wiki/Q1604164","display_name":"Transverse plane","level":2,"score":0.3425999879837036},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3370000123977661},{"id":"https://openalex.org/C54553102","wikidata":"https://www.wikidata.org/wiki/Q242657","display_name":"Magnetic moment","level":2,"score":0.3287000060081482},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.3269999921321869},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.31929999589920044},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.31049999594688416},{"id":"https://openalex.org/C142199849","wikidata":"https://www.wikidata.org/wiki/Q3027672","display_name":"Inelastic scattering","level":3,"score":0.3075999915599823},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.3059999942779541},{"id":"https://openalex.org/C159737794","wikidata":"https://www.wikidata.org/wiki/Q124274","display_name":"Azimuth","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C136479403","wikidata":"https://www.wikidata.org/wiki/Q1047683","display_name":"Quasiparticle","level":3,"score":0.289000004529953},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.27799999713897705},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C188082385","wikidata":"https://www.wikidata.org/wiki/Q73792","display_name":"Charge (physics)","level":2,"score":0.265500009059906},{"id":"https://openalex.org/C83581075","wikidata":"https://www.wikidata.org/wiki/Q1361503","display_name":"Excitation","level":2,"score":0.2574000060558319},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.2565000057220459},{"id":"https://openalex.org/C2778414698","wikidata":"https://www.wikidata.org/wiki/Q7623438","display_name":"Stress field","level":3,"score":0.2513999938964844}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1143/jpsj.80.084702","doi":"https://doi.org/10.1143/jpsj.80.084702","is_oa":false,"landing_page_url":"https://doi.org/10.1143/jpsj.80.084702","pdf_url":null,"source":{"id":"https://openalex.org/S119212824","display_name":"Journal of the Physical Society of Japan","issn_l":"0031-9015","issn":["0031-9015","1347-4073"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310313296","host_organization_name":"Physical Society of Japan","host_organization_lineage":["https://openalex.org/P4310313296"],"host_organization_lineage_names":["Physical Society of Japan"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Physical Society of Japan","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1104.2374","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1104.2374","pdf_url":"https://arxiv.org/pdf/1104.2374","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1104.2374","doi":"https://doi.org/10.48550/arxiv.1104.2374","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1104.2374","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1104.2374","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1104.2374","pdf_url":"https://arxiv.org/pdf/1104.2374","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2782531199","display_name":"Development in calculations for electronic states near the quantum critical point in strongly correlated f-electron systems","funder_award_id":"22340099","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G8747749991","display_name":null,"funder_award_id":"20102008","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"},{"id":"https://openalex.org/G935725963","display_name":"Microscopic theory for odd-frequency superconductivity in critical region","funder_award_id":"23540414","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2010119044.pdf","grobid_xml":"https://content.openalex.org/works/W2010119044.grobid-xml"},"referenced_works_count":59,"referenced_works":["https://openalex.org/W54202041","https://openalex.org/W93519646","https://openalex.org/W1480208304","https://openalex.org/W1620886865","https://openalex.org/W1657135355","https://openalex.org/W1719487197","https://openalex.org/W1932231439","https://openalex.org/W1947769504","https://openalex.org/W1970155551","https://openalex.org/W1976668584","https://openalex.org/W1978130939","https://openalex.org/W1981339460","https://openalex.org/W1984777367","https://openalex.org/W1986753604","https://openalex.org/W1988788859","https://openalex.org/W1992197891","https://openalex.org/W1999429394","https://openalex.org/W2000631821","https://openalex.org/W2006647138","https://openalex.org/W2017244601","https://openalex.org/W2017513695","https://openalex.org/W2018604035","https://openalex.org/W2019057476","https://openalex.org/W2036670920","https://openalex.org/W2038472236","https://openalex.org/W2045830201","https://openalex.org/W2047058558","https://openalex.org/W2049343208","https://openalex.org/W2051076276","https://openalex.org/W2052889761","https://openalex.org/W2054416867","https://openalex.org/W2055139470","https://openalex.org/W2055576762","https://openalex.org/W2056042616","https://openalex.org/W2056625099","https://openalex.org/W2057123163","https://openalex.org/W2058250678","https://openalex.org/W2062921299","https://openalex.org/W2063763626","https://openalex.org/W2067810015","https://openalex.org/W2072108099","https://openalex.org/W2072459408","https://openalex.org/W2076004828","https://openalex.org/W2077577558","https://openalex.org/W2078942779","https://openalex.org/W2083467536","https://openalex.org/W2084697838","https://openalex.org/W2086740003","https://openalex.org/W2090466792","https://openalex.org/W2090532462","https://openalex.org/W2106167276","https://openalex.org/W2120735869","https://openalex.org/W2149439306","https://openalex.org/W2154512606","https://openalex.org/W2155876126","https://openalex.org/W2160348256","https://openalex.org/W2592922999","https://openalex.org/W2780296020","https://openalex.org/W3103567894"],"related_works":["https://openalex.org/W2031937402","https://openalex.org/W1602978619","https://openalex.org/W2569967271","https://openalex.org/W2200339409","https://openalex.org/W1992197891","https://openalex.org/W2080187056","https://openalex.org/W2149511239","https://openalex.org/W2953098396","https://openalex.org/W2597747619","https://openalex.org/W1607369541"],"abstract_inverted_index":{"An":[0],"antiferro":[1,44,138,169,189],"ordering":[2],"of":[3,19,35,42,47,73,83,88,95,128,161,186],"an":[4,144],"electric":[5],"hexadecapole":[6,45],"moment":[7],"is":[8,151,171],"discussed":[9],"as":[10,121],"a":[11,206],"promising":[12],"candidate":[13],"for":[14,210],"the":[15,20,33,36,40,43,54,64,68,89,96,106,110,115,129,154,158,162,176,192,197,201,211],"long":[16],"standing":[17],"mystery":[18],"hidden":[21,90],"order":[22,46,91,213],"phase":[23,80],"in":[24,67,109,117,153],"URu$_{2}$Si$_{2}$.":[25],"Based":[26],"on":[27],"localized":[28],"$f$-electron":[29],"picture,":[30],"we":[31],"discuss":[32],"rationale":[34],"selected":[37],"multipole":[38],"and":[39,53,93,157],"consequences":[41],"$xy(x^{2}-y^{2})$":[48],"symmetry.":[49],"The":[50,123,136,166],"mean-field":[51],"solutions":[52],"collective":[55],"excitations":[56],"from":[57],"them":[58],"explain":[59],"reasonably":[60],"significant":[61],"experimental":[62],"observations:":[63],"strong":[65,107],"anisotropy":[66,108],"magnetic":[69,76,111,146,194],"susceptibility,":[70],"characteristic":[71],"behavior":[72],"pressure":[74],"versus":[75],"field":[77,147,195],"or":[78,196],"temperature":[79],"diagrams,":[81],"disappearance":[82],"inelastic":[84],"neutron-scattering":[85],"intensity":[86],"out":[87],"phase,":[92],"insensitiveness":[94],"NQR":[97],"frequency":[98],"at":[99],"Ru-sites":[100],"upon":[101],"ordering.":[102],"A":[103,184],"consistency":[104],"with":[105],"responses":[112],"excludes":[113],"all":[114],"multipoles":[116],"two-dimensional":[118],"representations,":[119],"such":[120],"$(O_{yz},O_{zx})$.":[122],"expected":[124],"azimuthal":[125],"angle":[126],"dependences":[127],"resonant":[130,202],"X-ray":[131,203],"scattering":[132,204],"amplitude":[133],"are":[134],"given.":[135],"$(x^{2}-y^{2})$-type":[137,167],"quadrupole":[139,170],"should":[140],"be":[141],"induced":[142,173,188],"by":[143,174],"in-plane":[145,193],"along":[148,179],"$[110]$,":[149],"which":[150],"reflected":[152],"thermal":[155],"expansion":[156],"elastic":[159],"constant":[160],"transverse":[163],"$(c_{11}-c_{12})/2$":[164],"mode.":[165],"[$(xy)$-type]":[168],"also":[172],"applying":[175],"uniaxial":[177,198],"stress":[178,199],"$[110]$":[180],"direction":[181],"[$[100]$":[182],"direction].":[183],"detection":[185],"these":[187],"quadrupoles":[190],"under":[191],"using":[200],"provides":[205],"direct":[207],"redundant":[208],"test":[209],"proposed":[212],"parameter.":[214]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":14},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":9}],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2016-06-24T00:00:00"}
