{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,24]],"date-time":"2026-10-24T00:29:54Z","timestamp":1792801794838,"version":"4.5.0"},"reference-count":72,"publisher":"American Physical Society (APS)","issue":"20","license":[{"start":{"date-parts":[[2021,5,20]],"date-time":"2021-05-20T00:00:00Z","timestamp":1621468800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/link.aps.org\/licenses\/aps-default-license"},{"start":{"date-parts":[[2022,5,20]],"date-time":"2022-05-20T00:00:00Z","timestamp":1653004800000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/link.aps.org\/licenses\/aps-default-accepted-manuscript-license"}],"funder":[{"DOI":"10.13039\/100000015","name":"U.S. Department of Energy","doi-asserted-by":"publisher","award":["DE-SC0020343"],"award-info":[{"award-number":["DE-SC0020343"]}],"id":[{"id":"10.13039\/100000015","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100006132","name":"Office of Science","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100006132","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100006151","name":"Basic Energy Sciences","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100006151","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMR-1350663"],"award-info":[{"award-number":["DMR-1350663"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. Lett."],"accepted":{"date-parts":[[2021,4,16]]},"DOI":"10.1103\/physrevlett.126.206602","type":"journal-article","created":{"date-parts":[[2021,5,20]],"date-time":"2021-05-20T14:20:50Z","timestamp":1621520450000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["Floquet Gauge Pumps as Sensors for Spectral Degeneracies Protected by Symmetry or Topology"],"prefix":"10.1103","volume":"126","author":[{"given":"Abhishek","family":"Kumar","sequence":"first","affiliation":[{"name":"Department of Physics, Indiana University, Bloomington, Indiana 47405, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3254-4494","authenticated-orcid":true,"given":"Gerardo","family":"Ortiz","sequence":"additional","affiliation":[{"name":"Department of Physics, Indiana University, Bloomington, Indiana 47405, USA"},{"name":"Quantum Science and Engineering Center, Indiana University, Bloomington, Indiana 47405, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Philip","family":"Richerme","sequence":"additional","affiliation":[{"name":"Department of Physics, Indiana University, Bloomington, Indiana 47405, USA"},{"name":"Quantum Science and Engineering Center, Indiana University, Bloomington, Indiana 47405, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1834-8286","authenticated-orcid":true,"given":"Babak","family":"Seradjeh","sequence":"additional","affiliation":[{"name":"Department of Physics, Indiana University, Bloomington, Indiana 47405, USA"},{"name":"Quantum Science and Engineering Center, Indiana University, Bloomington, Indiana 47405, USA"},{"name":"IU Center for Spacetime Symmetries, Indiana University, Bloomington, Indiana 47405, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2021,5,20]]},"reference":[{"key":"PhysRevLett.126.206602Cc1R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.78.195125","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc2R1","volume-title":"AIP Conference Proceedings, Proceedings of the L. D. Landau Memorial Conference \u201cAdvances in Theoretical Physics,\u201d 2008","author":"A. Kitaev","year":"2009","type":"conference-proceedings"},{"key":"PhysRevLett.126.206602Cc3R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.82.115120","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc4R1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/12\/6\/065010","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc5R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.106.106802","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc6R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.84.075444","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc7R1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-29351-6","type":"book","volume-title":"Bulk and Boundary Invariants for Complex Topological Insulators","author":"E. Prodan","year":"2016"},{"key":"PhysRevLett.126.206602Cc8R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.103.237001","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc9R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.109.267002","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc10R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.86.115122","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc11R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.113.267002","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc12R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.92.081401","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc13R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aop.2016.05.020","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc14R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.83.104513","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc15R1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/12\/12\/125002","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc16R1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1101469108","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc17R1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/13\/8\/085002","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc18R1","doi-asserted-by":"publisher","DOI":"10.1088\/0034-4885\/75\/7\/076501","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc19R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.95.201114","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc20R1","doi-asserted-by":"publisher","DOI":"10.1070\/1063-7869\/44\/10S\/S29","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc21R1","doi-asserted-by":"publisher","DOI":"10.1590\/S0103-97332003000400002","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc22R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.79.161408","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc23R1","doi-asserted-by":"publisher","DOI":"10.1038\/nphys2429","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc24R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.89.012328","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc25R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.94.125434","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc26R1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01331938","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc28R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.110.016802","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc29R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.116.016802","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc30R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.100.085138","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc32R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.27.6083","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc34R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.79.081406","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc35R1","doi-asserted-by":"publisher","DOI":"10.1126\/science.1239834","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc36R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.89.205408","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc37R1","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/110\/17004","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc38R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-019-0698-y","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc39R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.1.023031","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc40R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.2.043275","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc41R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.102.155123","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc42R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aop.2021.168434","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc43R1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.91.015006","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc44R1","doi-asserted-by":"publisher","DOI":"10.1146\/annurev-conmatphys-031218-013423","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc46R1","doi-asserted-by":"publisher","DOI":"10.1038\/s42254-020-0170-z","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc47R1","doi-asserted-by":"publisher","DOI":"10.24033\/asens.220","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc48R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.138.B979","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc49R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.7.2203","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc50R1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/17\/9\/093039","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc51R1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/aade37","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc52R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevX.4.041048","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc53R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.90.012110","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc54R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.112.150401","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc55R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.115.030402","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc56R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aop.2014.11.008","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc57R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.114.140401","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc58R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.116.250401","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc59R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.116.120401","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc60R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aop.2016.01.012","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc61R1","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-017-2930-x","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc62R1","doi-asserted-by":"publisher","DOI":"10.1038\/srep45382","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc63R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevX.7.011018","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc64R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.99.035312","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc65R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.107.236401","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc66R1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.93.025001","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc67R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41566-017-0007-1","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc68R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.82.1835","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc69R1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.87.637","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc70R1","doi-asserted-by":"publisher","DOI":"10.1038\/nature13450","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc71R1","doi-asserted-by":"publisher","DOI":"10.1038\/nature13461","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc72R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.94.042308","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc73R1","doi-asserted-by":"publisher","DOI":"10.1038\/nature21413","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc74R1","doi-asserted-by":"publisher","DOI":"10.1364\/OL.38.004735","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc75R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.93.165142","type":"journal-article"},{"key":"PhysRevLett.126.206602Cc76R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.101.085125","type":"journal-article"}],"container-title":["Physical Review Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/accepted\/10.1103\/PhysRevLett.126.206602","content-type":"application\/pdf","content-version":"am","intended-application":"unspecified"},{"URL":"https:\/\/link.aps.org\/article\/10.1103\/PhysRevLett.126.206602","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/PhysRevLett.126.206602\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,1]],"date-time":"2025-08-01T00:03:33Z","timestamp":1754006613000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevLett.126.206602"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,5,20]]},"references-count":72,"journal-issue":{"issue":"20","published-print":{"date-parts":[[2021,5]]}},"URL":"https:\/\/doi.org\/10.1103\/physrevlett.126.206602","relation":{},"ISSN":["0031-9007","1079-7114"],"issn-type":[{"value":"0031-9007","type":"print"},{"value":"1079-7114","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,5,20]]},"assertion":[{"value":"2020-12-19","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"\u00a9 2021 American Physical Society","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2021","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"American Physical Society","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"206602"}}