{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,3]],"date-time":"2026-08-03T07:47:04Z","timestamp":1785743224211,"version":"3.56.0"},"reference-count":51,"publisher":"IOP Publishing","issue":"31","license":[{"start":{"date-parts":[[2026,8,3]],"date-time":"2026-08-03T00:00:00Z","timestamp":1785715200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2026,8,3]],"date-time":"2026-08-03T00:00:00Z","timestamp":1785715200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["J. Phys.: Condens. Matter"],"published-print":{"date-parts":[[2026,8,7]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    We theoretically investigate the spin Josephson diode effect (SJDE) in a diffusive Josephson junction with a Rashba metal layer under a ferromagnetic exchange field. Within the quasiclassical Green\u2019s function framework, we derive analytical expressions for the first- and second-harmonic spin Josephson currents. The interplay between Rashba spin\u2013orbit interaction and the exchange field breaks inversion and time-reversal symmetries, generating additional cosine terms in the spin current\u2013phase relations and a finite\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>\u03c6<\/mml:mi>\n                            <mml:mrow>\n                              <mml:mn>0<\/mml:mn>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    phase shift. This phase shift induces an intrinsic asymmetry between forward and backward spin currents, leading to the SJDE without an external magnetic field. Numerical results show that the efficiency decreases with increasing metal thickness due to suppression of the second-harmonic component, while its dependence on spin\u2013orbit interaction strength reflects competing effects between phase shift enhancement and harmonic suppression. These findings demonstrate that the interplay between harmonic components provides a mechanism for nonreciprocal spin transport without requiring suppression of spin-singlet correlations.\n                  <\/jats:p>","DOI":"10.1088\/1361-648x\/ae8d6b","type":"journal-article","created":{"date-parts":[[2026,7,20]],"date-time":"2026-07-20T22:52:01Z","timestamp":1784587921000},"page":"315601","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Spin Josephson diode effect induced by higher-harmonic spin Josephson currents in a diffusive Josephson junction"],"prefix":"10.1088","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-4815-5509","authenticated-orcid":true,"given":"Shin-ichi","family":"Hikino","sequence":"first","affiliation":[{"name":"Fukui College"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2026,8,3]]},"reference":[{"key":"cmae8d6bbib1","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1016\/0031-9163(62)91369-0","type":"journal-article","volume":"1","author":"Josephson","year":"1962","journal-title":"Phys. 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All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2026-04-23","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-07-20","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-08-03","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}