{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,30]],"date-time":"2026-10-30T00:29:27Z","timestamp":1793320167431,"version":"4.5.0"},"reference-count":21,"publisher":"American Physical Society (APS)","issue":"6","license":[{"start":{"date-parts":[[2025,8,14]],"date-time":"2025-08-14T00:00:00Z","timestamp":1755129600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004742","name":"National Academy of Sciences of Ukraine","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004742","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. B"],"accepted":{"date-parts":[[2025,8,4]]},"abstract":"<jats:p>\n                    Spin reversal and magnetization hysteresis loop were studied in the mean-field approximation for the anisotropic model of the compensated ferrimagnet\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <a:mrow>\n                        <a:msub>\n                          <a:mi>Ni<\/a:mi>\n                          <a:mn>4<\/a:mn>\n                        <\/a:msub>\n                        <a:msub>\n                          <a:mi>Nb<\/a:mi>\n                          <a:mn>2<\/a:mn>\n                        <\/a:msub>\n                        <a:msub>\n                          <a:mi mathvariant=\"normal\">O<\/a:mi>\n                          <a:mn>9<\/a:mn>\n                        <\/a:msub>\n                      <\/a:mrow>\n                    <\/a:math>\n                    . A rigorous analysis was applied to determine the energy of exchange anisotropy in the\n                    <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <c:mrow>\n                        <c:mi mathvariant=\"italic\">ab<\/c:mi>\n                      <\/c:mrow>\n                    <\/c:math>\n                    plane. Based on the experimental data on the single crystal [], the values of the main parameters of microscopic interactions were obtained. This made it possible to calculate the temperature dependence of magnetization, showing spin reversal, as well as the magnetization hysteresis loop, demonstrating the exchange bias. A good qualitative agreement between the experiment and theory was obtained. The effect of single-ion anisotropy on the magnetism of nickel niobate was analyzed and the importance of the contribution of antiferromagnetic exchange interactions with the second nearest neighbors to the stable ferrimagnetic state of the crystal is presented.\n                  <\/jats:p>","DOI":"10.1103\/xpf2-pw1l","type":"journal-article","created":{"date-parts":[[2025,8,4]],"date-time":"2025-08-04T19:28:48Z","timestamp":1754335728000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["Anisotropy of exchange interactions and spin reversal in the compensated ferrimagnet\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mrow>\n                        <mml:msub>\n                          <mml:mi>Ni<\/mml:mi>\n                          <mml:mn>4<\/mml:mn>\n                        <\/mml:msub>\n                        <mml:msub>\n                          <mml:mi>Nb<\/mml:mi>\n                          <mml:mn>2<\/mml:mn>\n                        <\/mml:msub>\n                        <mml:msub>\n                          <mml:mi mathvariant=\"normal\">O<\/mml:mi>\n                          <mml:mn>9<\/mml:mn>\n                        <\/mml:msub>\n                      <\/mml:mrow>\n                    <\/mml:math>"],"prefix":"10.1103","volume":"112","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2689-4781","authenticated-orcid":true,"given":"E. E.","family":"Zubov","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02vrpj575","id-type":"ROR","asserted-by":"publisher"}],"name":"Kyiv Academic University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3344-8832","authenticated-orcid":true,"given":"I.","family":"Fita","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/000sfad56","id-type":"ROR","asserted-by":"publisher"}],"name":"Institute of Physics, Polish Academy of Sciences"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5636-5541","authenticated-orcid":true,"given":"R.","family":"Puzniak","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/000sfad56","id-type":"ROR","asserted-by":"publisher"}],"name":"Institute of Physics, Polish Academy of Sciences"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5040-0481","authenticated-orcid":true,"given":"A.","family":"Wisniewski","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/000sfad56","id-type":"ROR","asserted-by":"publisher"}],"name":"Institute of Physics, Polish Academy of Sciences"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2025,8,14]]},"reference":[{"key":"xpf2-pw1lCc1R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.52.9595","type":"journal-article"},{"key":"xpf2-pw1lCc2R1","doi-asserted-by":"publisher","DOI":"10.1002\/zaac.19865390821","type":"journal-article"},{"key":"xpf2-pw1lCc3R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.5134056","type":"journal-article"},{"key":"xpf2-pw1lCc4R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.106.134418","type":"journal-article"},{"key":"xpf2-pw1lCc5R1","doi-asserted-by":"publisher","DOI":"10.1007\/s10909-022-02682-3","type":"journal-article"},{"key":"xpf2-pw1lCc6R1","doi-asserted-by":"publisher","DOI":"10.1063\/5.0107661","type":"journal-article"},{"key":"xpf2-pw1lCc7R1","doi-asserted-by":"publisher","DOI":"10.1088\/1361-648X\/acf986","type":"journal-article"},{"key":"xpf2-pw1lCc8R1","doi-asserted-by":"publisher","DOI":"10.1088\/1361-648X\/ad2d23","type":"journal-article"},{"key":"xpf2-pw1lCc9R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.111.014420","type":"journal-article"},{"key":"xpf2-pw1lCc10R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.98.094421","type":"journal-article"},{"key":"xpf2-pw1lCc11R1","doi-asserted-by":"publisher","DOI":"10.1063\/5.0206199","type":"journal-article"},{"key":"xpf2-pw1lCc13R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.102.1413","type":"journal-article"},{"key":"xpf2-pw1lCc14R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2005.08.004","type":"journal-article"},{"key":"xpf2-pw1lCc15R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.103.127201","type":"journal-article"},{"key":"xpf2-pw1lCc16R1","doi-asserted-by":"publisher","DOI":"10.1107\/S0021889811038970","type":"journal-article"},{"key":"xpf2-pw1lCc17R1","first-page":"137","type":"journal-article","volume":"3","author":"L. N\u00e9el","year":"1948","journal-title":"Ann. Phys. (Paris)"},{"key":"xpf2-pw1lCc18R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/xpf2-pw1l with unitary transformation of the mean-field Hamiltonian for Ni ions. The critical fields of spin reversals in ferromagnetic planes are obtained by minimizing the nonequilibrium thermodynamic potential. The main formulas for the Neel temperature, susceptibility, and Curie paramagnetic temperature are presented. The energy levels, order parameters, and free energy of Ni ion subsystems with single ion anisotropy are also considered in detail.","type":"other"},{"key":"xpf2-pw1lCc19R1","volume-title":"Electron Paramagnetic Resonance","author":"S. A. Altshuller","year":"1964","type":"book"},{"key":"xpf2-pw1lCc20R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.117.635","type":"journal-article"},{"key":"xpf2-pw1lCc21R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.114.1473","type":"journal-article"},{"key":"xpf2-pw1lCc22R1","volume-title":"Effective Fields Theories of Magnetism","author":"J. S. Smart","year":"1966","type":"book"}],"container-title":["Physical Review B"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/article\/10.1103\/xpf2-pw1l","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/xpf2-pw1l\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,29]],"date-time":"2026-09-29T21:20:51Z","timestamp":1790716851000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/xpf2-pw1l"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,14]]},"references-count":21,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2025,8]]}},"URL":"https:\/\/doi.org\/10.1103\/xpf2-pw1l","relation":{},"ISSN":["2469-9950","2469-9969"],"issn-type":[{"value":"2469-9950","type":"print"},{"value":"2469-9969","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,8,14]]},"assertion":[{"value":"2025-05-15","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"Published by the 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":"2025","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92025 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"064424"}}