{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,19]],"date-time":"2026-08-19T19:50:21Z","timestamp":1787169021160,"version":"build-2736575974"},"reference-count":56,"publisher":"IOP Publishing","issue":"1","license":[{"start":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T00:00:00Z","timestamp":1769644800000},"content-version":"vor","delay-in-days":28,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T00:00:00Z","timestamp":1769644800000},"content-version":"tdm","delay-in-days":28,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100000078","name":"Division of Materials Research","doi-asserted-by":"crossref","award":["NSF MRSEC DMR-2011876"],"award-info":[{"award-number":["NSF MRSEC DMR-2011876"]}],"id":[{"id":"10.13039\/100000078","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Rep. 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Phys."],"published-print":{"date-parts":[[2026,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    We theoretically analyze the topological insulator (TI) surface state mediated interactions between local moments in a proximate 2D ferromagnetic insulator (FMI) motivated by recent experiments that show a significant increase in the Curie temperature\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:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    of FMI-TI heterostructures. Such interactions have been investigated earlier with a focus on dilute magnetic dopants in TIs. Our problem involves a dense set of moments for which we find that the short range Bloembergen\u2013Rowland interaction, arising from virtual particle-hole transitions between the valence and conduction bands, dominates over the oscillatory Ruderman\u2013Kittel\u2013Kasuya\u2013Yosida (RKKY) interaction. We show 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: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:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    enhancement is proportional to the Van Vleck susceptibility and that the spin-momentum locking of surface states leads to out-of-plane ferromagnetic order in the FMI. We investigate how the hybridization between top and bottom surfaces in a thin TI film impacts\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:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    enhancement, and show how our results can help understand recent experiments on atomically thin Cr\n                    <jats:sub>2<\/jats:sub>\n                    Te\n                    <jats:sub>3<\/jats:sub>\n                    -(Bi,Sb)\n                    <jats:sub>2<\/jats:sub>\n                    Te\n                    <jats:sub>3<\/jats:sub>\n                    . Our results advance the understanding of magnetic interactions relevant for TI-based spintronic and magnonic devices.\n                  <\/jats:p>","DOI":"10.1088\/1361-6633\/ae3982","type":"journal-article","created":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T22:50:39Z","timestamp":1768603839000},"page":"018004","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Enhancement of Curie temperature in ferromagnetic insulator-topological insulator heterostructures"],"prefix":"10.1088","volume":"89","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1879-3542","authenticated-orcid":true,"given":"Murod","family":"Mirzhalilov","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4098-1651","authenticated-orcid":true,"given":"Nandini","family":"Trivedi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mohit","family":"Randeria","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2026,1,29]]},"reference":[{"key":"ropae3982bib1","doi-asserted-by":"publisher","first-page":"1582","DOI":"10.1126\/science.1230905","type":"journal-article","article-title":"Topology-driven magnetic quantum phase transition in topological insulators","volume":"339","author":"Zhang","year":"2013","journal-title":"Science"},{"key":"ropae3982bib2","doi-asserted-by":"publisher","first-page":"126","DOI":"10.1038\/s42254-018-0011-5","type":"journal-article","article-title":"Magnetic topological insulators","volume":"1","author":"Tokura","year":"2019","journal-title":"Nat. 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