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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2017-8-6-701-708</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-591</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Calculations of switching field and energy barrier for magnetic islands with perpendicular anisotropy</article-title><trans-title-group xml:lang="ru"><trans-title>Calculations of switching field and energy barrier for magnetic islands with perpendicular anisotropy</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Liashko</surname><given-names>S. Y.</given-names></name><name name-style="western" xml:lang="en"><surname>Liashko</surname><given-names>S. Y.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101; 107 Reykjavík, Iceland</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101; 107 Reykjavík, Iceland</p></bio><email xlink:type="simple">serjfv@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Jónsson</surname><given-names>H.</given-names></name><name name-style="western" xml:lang="en"><surname>Jónsson</surname><given-names>H.</given-names></name></name-alternatives><bio xml:lang="ru"><p>107 Reykjavík, Iceland; Los Alamos, NM 87545, USA</p></bio><bio xml:lang="en"><p>107 Reykjavík, Iceland; Los Alamos, NM 87545, USA</p></bio><email xlink:type="simple">hj@hi.is</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Uzdin</surname><given-names>V. M.</given-names></name><name name-style="western" xml:lang="en"><surname>Uzdin</surname><given-names>V. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101; St. Petersburg, 198504</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101; St. Petersburg, 198504</p></bio><email xlink:type="simple">v_uzdin@mail.ru</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ITMO University; Science Institute and Faculty of Physical Sciences, Univ. of Iceland</institution></aff><aff xml:lang="en"><institution>ITMO University; Science Institute and Faculty of Physical Sciences, Univ. of Iceland</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Science Institute and Faculty of Physical Sciences, Univ. of Iceland; Center for Nonlinear Studies</institution></aff><aff xml:lang="en"><institution>Science Institute and Faculty of Physical Sciences, Univ. of Iceland; Center for Nonlinear Studies</institution></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>ITMO University; St. Petersburg State University</institution></aff><aff xml:lang="en"><institution>ITMO University; St. Petersburg State University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>12</day><month>08</month><year>2025</year></pub-date><volume>8</volume><issue>6</issue><fpage>701</fpage><lpage>708</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Liashko S.Y., Jónsson H., Uzdin V.M., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Liashko S.Y., Jónsson H., Uzdin V.M.</copyright-holder><copyright-holder xml:lang="en">Liashko S.Y., Jónsson H., Uzdin V.M.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/591">https://nanojournal.ifmo.ru/jour/article/view/591</self-uri><abstract><p>Calculations of the magnetic field required to reverse the magnetization of islands with out-of-plane anisotropy are carried out using a model describing nucleation followed by rapid domain wall motion. The calculations are based on an extension of the Stoner–Wohlfarth model where thermal activation is taken into account as well as the applied magnetic field. The calculated switching field distribution (SFD) is compared with recently reported experimental measurements of de Vries et al. [New J. Phys. 19, 093019 (2017)] on circular 220 nm CoPt islands. The measured results can be closely reproduced by choosing appropriate values of two parameters, the nucleation volume, and the effective anisotropy. Both the position of SDF peaks and their width at high and low temperature, 300 K and 10 K, are amply described using the same set of parameter values for a given island, while there is a large difference between islands with weak and strong magnetic anisotropies. There is no need to introduce the temperature dependence of the activation energy at zero field. This is in contrast with the estimates obtained from the so-called diamond model used by de Vries et al. in their data analysis where multiple adjustable parameters are introduced, and a three- to fourfold change in the zero field activation energy is invoked.</p></abstract><trans-abstract xml:lang="ru"><p>Calculations of the magnetic field required to reverse the magnetization of islands with out-of-plane anisotropy are carried out using a model describing nucleation followed by rapid domain wall motion. The calculations are based on an extension of the Stoner–Wohlfarth model where thermal activation is taken into account as well as the applied magnetic field. The calculated switching field distribution (SFD) is compared with recently reported experimental measurements of de Vries et al. [New J. Phys. 19, 093019 (2017)] on circular 220 nm CoPt islands. The measured results can be closely reproduced by choosing appropriate values of two parameters, the nucleation volume, and the effective anisotropy. Both the position of SDF peaks and their width at high and low temperature, 300 K and 10 K, are amply described using the same set of parameter values for a given island, while there is a large difference between islands with weak and strong magnetic anisotropies. There is no need to introduce the temperature dependence of the activation energy at zero field. This is in contrast with the estimates obtained from the so-called diamond model used by de Vries et al. in their data analysis where multiple adjustable parameters are introduced, and a three- to fourfold change in the zero field activation energy is invoked.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>activation volume</kwd><kwd>pre-exponential factor</kwd><kwd>magnetic islands</kwd><kwd>activation energy</kwd><kwd>rate theory</kwd><kwd>spin ice</kwd></kwd-group><kwd-group xml:lang="en"><kwd>activation volume</kwd><kwd>pre-exponential factor</kwd><kwd>magnetic islands</kwd><kwd>activation energy</kwd><kwd>rate theory</kwd><kwd>spin ice</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work was supported by the Icelandic Research Fund, the Academy of Finland (grant 278260) and the Government of the Russian Federation (grant 074U01).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Sun S., Murray C.B., Weller D., Folks L., Moser A. 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