{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,14]],"date-time":"2026-09-14T23:53:02Z","timestamp":1789429982328,"version":"build-2803163510"},"reference-count":52,"publisher":"American Physical Society (APS)","issue":"6","license":[{"start":{"date-parts":[[2026,8,5]],"date-time":"2026-08-05T00:00:00Z","timestamp":1785888000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/link.aps.org\/licenses\/aps-default-license"},{"start":{"date-parts":[[2027,8,5]],"date-time":"2027-08-05T00:00:00Z","timestamp":1817424000000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/link.aps.org\/licenses\/aps-default-accepted-manuscript-license"}],"funder":[{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["JP23KJ0702"],"award-info":[{"award-number":["JP23KJ0702"]}],"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":["JP24K06951"],"award-info":[{"award-number":["JP24K06951"]}],"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","id":[{"id":"10.13039\/501100002241","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-22-EXSP-0009"],"award-info":[{"award-number":["ANR-22-EXSP-0009"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-24-EXSP-0011"],"award-info":[{"award-number":["ANR-24-EXSP-0011"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Adopting Sustainable Partnerships for Innovative Research Ecosystem","award":["JPMJAP2410"],"award-info":[{"award-number":["JPMJAP2410"]}]},{"name":"EIC Pathfinder","award":["101129641"],"award-info":[{"award-number":["101129641"]}]},{"name":"France 2030 Government"}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. Lett."],"accepted":{"date-parts":[[2026,7,14]]},"DOI":"10.1103\/2yqn-cyzg","type":"journal-article","created":{"date-parts":[[2026,7,14]],"date-time":"2026-07-14T16:11:57Z","timestamp":1784045517000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Orbital Accumulation Induced by Chiral Phonons"],"prefix":"10.1103","volume":"137","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0290-9448","authenticated-orcid":true,"given":"Tetsuya","family":"Sato","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/057zh3y96","id-type":"ROR","asserted-by":"publisher"}],"name":"Institute for Solid State Physics"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7984-9354","authenticated-orcid":true,"given":"Takeo","family":"Kato","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/057zh3y96","id-type":"ROR","asserted-by":"publisher"}],"name":"Institute for Solid State Physics"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4768-293X","authenticated-orcid":true,"given":"Aurelien","family":"Manchon","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/035xkbk20","id-type":"ROR","asserted-by":"publisher"}],"name":"Aix-Marseille Universit\u00e9"},{"id":[{"id":"https:\/\/ror.org\/02feahw73","id-type":"ROR","asserted-by":"publisher"}],"name":"CNRS"},{"id":[{"id":"https:\/\/ror.org\/0550dmh35","id-type":"ROR","asserted-by":"publisher"}],"name":"CINaM"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,8,5]]},"reference":[{"key":"2yqn-cyzgCc1R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-025-03001-9","type":"journal-article"},{"key":"2yqn-cyzgCc2R1","unstructured":"In our Letter, we define chiral phonons as lattice vibrations lacking improper rotational symmetry. See also Ref.\u00a0[1].","type":"other"},{"key":"2yqn-cyzgCc3R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.112.085503","type":"journal-article"},{"key":"2yqn-cyzgCc4R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.115.115502","type":"journal-article"},{"key":"2yqn-cyzgCc7R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.29.6586","type":"journal-article"},{"key":"2yqn-cyzgCc8R1","first-page":"1568","type":"journal-article","volume":"3","author":"S.\u2009V. Vonsovskii","year":"1962","journal-title":"Sov. Phys. Solid State","ISSN":"https:\/\/id.crossref.org\/issn\/0038-5654","issn-type":"print"},{"key":"2yqn-cyzgCc9R1","doi-asserted-by":"publisher","DOI":"10.1088\/0022-3719\/21\/7\/009","type":"journal-article"},{"key":"2yqn-cyzgCc10R1","doi-asserted-by":"publisher","DOI":"10.1126\/science.aar2711","type":"journal-article"},{"key":"2yqn-cyzgCc11R1","doi-asserted-by":"publisher","DOI":"10.1002\/chir.23544","type":"journal-article"},{"key":"2yqn-cyzgCc12R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.2.023275","type":"journal-article"},{"key":"2yqn-cyzgCc13R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.101.104402","type":"journal-article"},{"key":"2yqn-cyzgCc14R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-021-22728-6","type":"journal-article"},{"key":"2yqn-cyzgCc15R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.105.184412","type":"journal-article"},{"key":"2yqn-cyzgCc16R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.5.L022039","type":"journal-article"},{"key":"2yqn-cyzgCc17R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41563-023-01473-9","type":"journal-article"},{"key":"2yqn-cyzgCc18R1","doi-asserted-by":"publisher","DOI":"10.1063\/5.0207915","type":"journal-article"},{"key":"2yqn-cyzgCc19R1","doi-asserted-by":"publisher","DOI":"10.7566\/JPSJ.93.034708","type":"journal-article"},{"key":"2yqn-cyzgCc20R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.132.056302","type":"journal-article"},{"key":"2yqn-cyzgCc21R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.132.236201","type":"journal-article"},{"key":"2yqn-cyzgCc22R1","doi-asserted-by":"publisher","DOI":"10.1007\/s11433-023-2281-x","type":"journal-article"},{"key":"2yqn-cyzgCc23R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.133.266702","type":"journal-article"},{"key":"2yqn-cyzgCc24R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmmm.2025.173386","type":"journal-article"},{"key":"2yqn-cyzgCc25R1","doi-asserted-by":"publisher","DOI":"10.1103\/kp6b-2kxz","type":"journal-article"},{"key":"2yqn-cyzgCc26R1","doi-asserted-by":"publisher","DOI":"10.1103\/lsv4-z14s","type":"journal-article"},{"key":"2yqn-cyzgCc27R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-023-06016-5","type":"journal-article"},{"key":"2yqn-cyzgCc28R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.109.104306","type":"journal-article"},{"key":"2yqn-cyzgCc29R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-022-01790-x","type":"journal-article"},{"key":"2yqn-cyzgCc30R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-025-02952-3","type":"journal-article"},{"key":"2yqn-cyzgCc31R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-021-04306-4","type":"journal-article"},{"key":"2yqn-cyzgCc32R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.111.134414","type":"journal-article"},{"key":"2yqn-cyzgCc33R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.121.086602","type":"journal-article"},{"key":"2yqn-cyzgCc34R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-021-26650-9","type":"journal-article"},{"key":"2yqn-cyzgCc35R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-025-61602-7","type":"journal-article"},{"key":"2yqn-cyzgCc36R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-025-62703-z","type":"journal-article"},{"key":"2yqn-cyzgCc37R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.134.036305","type":"journal-article"},{"key":"2yqn-cyzgCc38R1","doi-asserted-by":"publisher","DOI":"10.1088\/0022-3719\/2\/1\/307","type":"journal-article"},{"key":"2yqn-cyzgCc39R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.5.932","type":"journal-article"},{"key":"2yqn-cyzgCc40R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/2yqn-cyzg for detailed information on the tight-binding model, the Berry curvature, linear response theory, the Keldysh formalism, and equation of motion for orbital angular and quadrupole moments.","type":"other"},{"key":"2yqn-cyzgCc41R1","unstructured":"Using the quadrupole operators for the orbital angular momentum of p-orbitals, which are defined by Qx2\u2212y2=Lx2\u2212Ly2, Q3z2\u2212r2=(3L^z2\u22122)\/3, Qxy=LxLy+LyLx, Qyz=LyLz+LzLy, and Qzx=LzLx+LxLz, we obtain Qq\u00b1=Qqxy\u00b1iQqzx.","type":"other"},{"key":"2yqn-cyzgCc42R1","doi-asserted-by":"publisher","DOI":"10.1126\/sciadv.ado2504","type":"journal-article"},{"key":"2yqn-cyzgCc43R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.134.026304","type":"journal-article"},{"key":"2yqn-cyzgCc44R1","unstructured":"The density operator also includes a correction due to the lattice displacement as \u03c1(t)=\u03c1eq(t)+\u03b4\u03c1(t), where \u27e8\u03c8\u03b2|\u03b4\u03c1(t)|\u03c8\u03b1\u27e9=\u2211qu\u02d9q\u00b7\u27e8\u03c8\u03b2|i\u210f\u2202uq\u03c1(t)|\u03c8\u03b1\u27e9\/(\u03b5\u03b2\u2212\u03b5\u03b1), which is estimated as \u210f\u03c9q\u27e8\u03c1eq\u27e9\/(\u03b5k\u03b2\u2212\u03b5k\u03b1). Assuming that the phonon energy \u210f\u03c9q is much smaller than the energy splitting \u03b5k\u03b2\u2212\u03b5k\u03b1, we can drop this correction.","type":"other"},{"key":"2yqn-cyzgCc45R1","unstructured":"In principle, the second-order terms of \u27e8Lq\u00b1\u27e9, which correspond to electron-hole excitation due to phonons, can exist. This effect, which is effective only near the Fermi surface, is expected to be much smaller than the Fermi sea effect discussed in the main text, assuming that the Fermi energy is much larger than the phonon energy.","type":"other"},{"key":"2yqn-cyzgCc46R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.128.176601","type":"journal-article"},{"key":"2yqn-cyzgCc47R1","unstructured":"With the broadening factor, (\u03b5kx,y\u2212\u03b5kz)\u22122 is replaced with [(\u03b5kx,y\u2212\u03b5kz)2+\u03932]\u22121.","type":"other"},{"key":"2yqn-cyzgCc48R1","doi-asserted-by":"publisher","DOI":"10.1038\/s44306-025-00089-w","type":"journal-article"},{"key":"2yqn-cyzgCc49R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevX.6.021003","type":"journal-article"},{"key":"2yqn-cyzgCc50R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.130.246701","type":"journal-article"},{"key":"2yqn-cyzgCc51R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.94.224507","type":"journal-article"},{"key":"2yqn-cyzgCc52R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.103.235147","type":"journal-article"},{"key":"2yqn-cyzgCc53R1","doi-asserted-by":"publisher","DOI":"10.1103\/mnth-3g9n","type":"journal-article"},{"key":"2yqn-cyzgCc54R1","doi-asserted-by":"publisher","DOI":"10.5281\/zenodo.21366567","type":"dataset"}],"container-title":["Physical Review Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/accepted\/10.1103\/2yqn-cyzg","content-type":"application\/pdf","content-version":"am","intended-application":"unspecified"},{"URL":"https:\/\/link.aps.org\/article\/10.1103\/2yqn-cyzg","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/2yqn-cyzg\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,12]],"date-time":"2026-08-12T20:01:04Z","timestamp":1786564864000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/2yqn-cyzg"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,8,5]]},"references-count":52,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2026,8]]}},"URL":"https:\/\/doi.org\/10.1103\/2yqn-cyzg","relation":{},"ISSN":["0031-9007","1079-7114"],"issn-type":[{"value":"0031-9007","type":"print"},{"value":"1079-7114","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,8,5]]},"assertion":[{"value":"2025-11-19","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"\u00a9 2026 American Physical Society. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2026","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":"066302"}}