{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T05:15:55Z","timestamp":1783487755593,"version":"3.55.0"},"reference-count":21,"publisher":"IOP Publishing","issue":"27","license":[{"start":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T00:00:00Z","timestamp":1783468800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T00:00:00Z","timestamp":1783468800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"},{"start":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T00:00:00Z","timestamp":1783468800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/questions\/alternative-author-rights-policies\/"},{"start":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T00:00:00Z","timestamp":1783468800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/questions\/alternative-author-rights-policies\/"}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["J. Phys.: Condens. Matter"],"published-print":{"date-parts":[[2026,7,10]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    We argue that the Jahn\u2013Teller phonon manifold responsible for superconductivity in alkali-doped fullerides\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mi>A<\/mml:mi>\n                            <mml:mn>3<\/mml:mn>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    C\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mi\/>\n                            <mml:mrow>\n                              <mml:mn>60<\/mml:mn>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    supports circular, chiral combinations in a symmetry-adapted basis, and that this perspective gives a clean group-theoretical account of why these materials are robust\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi>s<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    -wave superconductors. Embedding the fivefold\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mi>H<\/mml:mi>\n                            <mml:mrow>\n                              <mml:mi mathvariant=\"normal\">g<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    irrep in the\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi>l<\/mml:mi>\n                          <mml:mo>=<\/mml:mo>\n                          <mml:mn>2<\/mml:mn>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    parent representation of SO(3), we use Clebsch\u2013Gordan algebra in the circular basis to obtain the channel weights\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi>W<\/mml:mi>\n                          <mml:mo stretchy=\"false\">(<\/mml:mo>\n                          <mml:mi>q<\/mml:mi>\n                          <mml:mo stretchy=\"false\">)<\/mml:mo>\n                          <mml:mo>=<\/mml:mo>\n                          <mml:mn>3<\/mml:mn>\n                          <mml:mrow>\n                            <mml:mo>\/<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:mn>5<\/mml:mn>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    for all\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi>q<\/mml:mi>\n                          <mml:mo>\u2208<\/mml:mo>\n                          <mml:mo fence=\"false\" stretchy=\"false\">{<\/mml:mo>\n                          <mml:mo>\u2212<\/mml:mo>\n                          <mml:mn>2<\/mml:mn>\n                          <mml:mo>,<\/mml:mo>\n                          <mml:mo>\u2212<\/mml:mo>\n                          <mml:mn>1<\/mml:mn>\n                          <mml:mo>,<\/mml:mo>\n                          <mml:mn>0<\/mml:mn>\n                          <mml:mo>,<\/mml:mo>\n                          <mml:mo>+<\/mml:mo>\n                          <mml:mn>1<\/mml:mn>\n                          <mml:mo>,<\/mml:mo>\n                          <mml:mo>+<\/mml:mo>\n                          <mml:mn>2<\/mml:mn>\n                          <mml:mo fence=\"false\" stretchy=\"false\">}<\/mml:mo>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    . The chiral channels (\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi>q<\/mml:mi>\n                          <mml:mo>\u2260<\/mml:mo>\n                          <mml:mn>0<\/mml:mn>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    ) carry 80% of the total coupling weight, the achiral channel (\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi>q<\/mml:mi>\n                          <mml:mo>=<\/mml:mo>\n                          <mml:mn>0<\/mml:mn>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    ) the remaining 20%, but the central robust result is the equality between opposite chiral sectors,\n                    <jats:inline-formula id=\"cmae820eueqn1\">\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi>W<\/mml:mi>\n                          <mml:mrow>\n                            <mml:mo>(<\/mml:mo>\n                            <mml:mo>+<\/mml:mo>\n                            <mml:mi>m<\/mml:mi>\n                            <mml:mo>)<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:mo>=<\/mml:mo>\n                          <mml:mi>W<\/mml:mi>\n                          <mml:mrow>\n                            <mml:mo>(<\/mml:mo>\n                            <mml:mo>\u2212<\/mml:mo>\n                            <mml:mi>m<\/mml:mi>\n                            <mml:mo>)<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:mo>,<\/mml:mo>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    enforced by time-reversal symmetry. The angular-momentum-weighted contribution of the chiral channels cancels identically, so the Cooper pair carries zero net angular momentum in any time-reversal-symmetric environment. A McMillan calculation reproduces the experimental\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mi>T<\/mml:mi>\n                            <mml:mrow>\n                              <mml:mi mathvariant=\"normal\">c<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                          <mml:mo>=<\/mml:mo>\n                          <mml:mn>19.3<\/mml:mn>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    K of K\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mi\/>\n                            <mml:mn>3<\/mml:mn>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    C\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mi\/>\n                            <mml:mrow>\n                              <mml:mn>60<\/mml:mn>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    , and the same calculation reveals that the\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi>s<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    -wave channel is parametrically robust against any equilibrium time-reversal-breaking perturbation because\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mi>\u03bc<\/mml:mi>\n                            <mml:mrow>\n                              <mml:mi mathvariant=\"normal\">B<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                          <mml:mi>B<\/mml:mi>\n                          <mml:mo>\u226a<\/mml:mo>\n                          <mml:msub>\n                            <mml:mi>\u03c9<\/mml:mi>\n                            <mml:mrow>\n                              <mml:mi>ph<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    for the stiff intramolecular\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mi>H<\/mml:mi>\n                            <mml:mrow>\n                              <mml:mi mathvariant=\"normal\">g<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    modes. In two-dimensional systems with soft acoustic phonons and strong effective time-reversal breaking\u2014most notably the chiral superconductor in valley-polarized rhombohedral trilayer graphene (RTG)\u2014the same symmetry analysis allows a chiral\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi>p<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    -wave channel, placing fullerides and RTG as two limits of a single mechanism controlled by the dimensionless ratio\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mi>\u03b4<\/mml:mi>\n                          <mml:mi>\u03b5<\/mml:mi>\n                          <mml:mrow>\n                            <mml:mo>\/<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:msub>\n                            <mml:mi>\u03c9<\/mml:mi>\n                            <mml:mrow>\n                              <mml:mi>ph<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    . We provide an order-of-magnitude estimate of mode-resolved phonon Zeeman splittings as a possible experimental signature, while emphasizing that a quantitative prediction requires a microscopic calculation of the orbit-lattice coupling.\n                  <\/jats:p>","DOI":"10.1088\/1361-648x\/ae820e","type":"journal-article","created":{"date-parts":[[2026,6,24]],"date-time":"2026-06-24T22:54:36Z","timestamp":1782341676000},"page":"275603","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Chiral phonon-mediated superconductivity in alkali-doped fullerides: a unified framework connecting molecular superconductors to two-dimensional chiral superconductivity"],"prefix":"10.1088","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0787-8305","authenticated-orcid":true,"given":"Dongwook","family":"Lee","sequence":"first","affiliation":[{"name":"Yonsei University MIRAE Campus"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0366-609X","authenticated-orcid":true,"given":"Jiwon","family":"Seo","sequence":"additional","affiliation":[{"name":"Yonsei University MIRAE Campus"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2026,7,8]]},"reference":[{"key":"cmae820ebib1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.115.115502","type":"journal-article","volume":"115","author":"Zhang","year":"2015","journal-title":"Phys. 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B"},{"key":"cmae820ebib21","doi-asserted-by":"publisher","first-page":"655","DOI":"10.1126\/science.259.5095.655","type":"journal-article","volume":"259","author":"Chen","year":"1993","journal-title":"Science"}],"container-title":["Journal of Physics: Condensed Matter"],"original-title":[],"link":[{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ae820e","content-type":"text\/html","content-version":"am","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ae820e\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ae820e","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ae820e\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ae820e\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ae820e\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ae820e\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"similarity-checking"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ae820e\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T04:43:36Z","timestamp":1783485816000},"score":1,"resource":{"primary":{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-648X\/ae820e"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7,8]]},"references-count":21,"journal-issue":{"issue":"27","published-online":{"date-parts":[[2026,7,8]]},"published-print":{"date-parts":[[2026,7,10]]}},"URL":"https:\/\/doi.org\/10.1088\/1361-648x\/ae820e","relation":{},"ISSN":["0953-8984","1361-648X"],"issn-type":[{"value":"0953-8984","type":"print"},{"value":"1361-648X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,7,8]]},"assertion":[{"value":"Chiral phonon-mediated superconductivity in alkali-doped fullerides: a unified framework connecting molecular superconductors to two-dimensional chiral superconductivity","name":"article_title","label":"Article Title"},{"value":"Journal of Physics: Condensed Matter","name":"journal_title","label":"Journal Title"},{"value":"paper","name":"article_type","label":"Article Type"},{"value":"\u00a9 2026 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2026-04-12","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-06-24","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-07-08","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}