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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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">mireabulletin</journal-id><journal-title-group><journal-title xml:lang="ru">Russian Technological Journal</journal-title><trans-title-group xml:lang="en"><trans-title>Russian Technological Journal</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2782-3210</issn><issn pub-type="epub">2500-316X</issn><publisher><publisher-name>RTU MIREA</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32362/2500-316X-2023-11-5-63-70</article-id><article-id custom-type="elpub" pub-id-type="custom">mireabulletin-764</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="ru"><subject>МИКРО- И НАНОЭЛЕКТРОНИКА. ФИЗИКА КОНДЕНСИРОВАННОГО СОСТОЯНИЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MICRO- AND NANOELECTRONICS. CONDENSED MATTER PHYSICS</subject></subj-group></article-categories><title-group><article-title>Нелинейный магнитоэлектрический эффект в кольцевой композитной гетероструктуре</article-title><trans-title-group xml:lang="en"><trans-title>Nonlinear magnetoelectric effect in a ring composite heterostructure</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2995-8824</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мусатов</surname><given-names>В. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Musatov</surname><given-names>V. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Мусатов Владимир Иванович, аспирант, кафедра наноэлектроники Института перспективных технологий и индустриального программирования</p><p>119454, Москва, пр-т Вернадского, д. 78</p><p>Scopus Author ID 57416814900</p></bio><bio xml:lang="en"><p>Vladimir I. Musatov, Postgraduate Student, Department of Nanoelectronics, Institute for Advanced Technologiesand Industrial Programming</p><p>78, Vernadskogo pr., Moscow, 119454</p><p>Scopus Author ID 57416814900</p></bio><email xlink:type="simple">musatov.v.i@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2188-0011</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Федулов</surname><given-names>Ф. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Fedulov</surname><given-names>F. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Федулов Федор Александрович, к.т.н., научный сотрудник, Научно-образовательный центр «Магнитоэлектрические материалы и устройства»</p><p>119454, Москва, пр-т Вернадского, д. 78</p><p>Scopus Author ID 57194284263</p><p> </p></bio><bio xml:lang="en"><p>Fedor A. Fedulov, Cand. Sci. (Eng.), Researcher, Scientific and Educational Center “Magnetoelectric materials and devices”</p><p>78, Vernadskogo pr., Moscow, 119454</p><p>Scopus Author ID 57194284263</p></bio><email xlink:type="simple">ostsilograf@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7762-9198</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Савельев</surname><given-names>Д. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Savelev</surname><given-names>D. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Савельев Дмитрий Владимирович, инженер-исследователь, Научно-образовательный центр «Магнитоэлектрические материалы и устройства»</p><p>119454, Москва, пр-т Вернадского, д. 78</p><p>Scopus Author ID 57196479660</p></bio><bio xml:lang="en"><p>Dmitrii V. Savelev, Research Engineer, Scientific and Educational Center “Magnetoelectric materials and devices” </p><p>78, Vernadskogo pr., Moscow, 119454</p><p>Scopus Author ID 57196479660</p><p>ResearcherID D-8952-2019</p><p> </p></bio><email xlink:type="simple">dimsav94@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1004-2821</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Болотина</surname><given-names>Е. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Bolotina</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Болотина Екатерина Витальевна, студент, кафедра наноэлектроники Института перспективных технологий и индустриального программирования</p><p>119454, Москва, пр-т Вернадского, д. 78</p></bio><bio xml:lang="en"><p>Ekaterina V. Bolotina, Student, Department of Nanoelectronics, Institute for Advanced Technologies and Industrial Programming</p><p>78, Vernadskogo pr., Moscow, 119454 </p><p> </p></bio><email xlink:type="simple">ekaterina.bolotina1@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3699-4321</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Фетисов</surname><given-names>Л. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Fetisov</surname><given-names>L. Y.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Фетисов Леонид Юрьевич, д.ф.-м.н., доцент, профессор кафедры наноэлектроники Института перспективных технологий и индустриального программирования</p><p>119454, Москва, пр-т Вернадского, д. 78</p><p>Scopus Author ID 26431336600</p><p>ResearcherID D-1163-2013</p></bio><bio xml:lang="en"><p>Leonid Y. Fetisov, Dr. Sci., Professor, Department of Nanoelectronics, Institute for Advanced Technologies and Industrial Programming</p><p>78, Vernadskogo pr., Moscow, 119454</p><p>Scopus Author ID 26431336600</p><p>ResearcherID D-1163-2013</p></bio><email xlink:type="simple">fetisovl@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>МИРЭА – Российский технологический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>MIREA – Russian Technological University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>06</day><month>10</month><year>2023</year></pub-date><volume>11</volume><issue>5</issue><fpage>63</fpage><lpage>70</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мусатов В.И., Федулов Ф.А., Савельев Д.В., Болотина Е.В., Фетисов Л.Ю., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Мусатов В.И., Федулов Ф.А., Савельев Д.В., Болотина Е.В., Фетисов Л.Ю.</copyright-holder><copyright-holder xml:lang="en">Musatov V.I., Fedulov F.A., Savelev D.V., Bolotina E.V., Fetisov L.Y.</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://www.rtj-mirea.ru/jour/article/view/764">https://www.rtj-mirea.ru/jour/article/view/764</self-uri><abstract><sec><title>Цели</title><p>Цели. Актуальность исследования магнитоэлектрических (МЭ) характеристик кольцевых гетероструктур «ферромагнетик-пьезоэлектрик» обусловлена созданием на их основе МЭ-устройств с улучшенными характеристиками. Целью настоящей работы является детальное исследование нелинейного МЭ-эффекта в кольцевой композитной гетероструктуре на основе пьезокерамики цирконата-титаната свинца (ЦТС) и аморфного ферромагнитного (ФМ) сплава Metglas® при ее циркулярном намагничивании.</p></sec><sec><title>Методы</title><p>Методы. МЭ-эффект исследован методом низкочастотной модуляции магнитного поля. Возбуждающее переменное и постоянное магнитные поля смещения были созданы при помощи тороидальной катушки, намотанной на гетероструктуру, для циркулярного намагничивания ферромагнитного слоя.</p></sec><sec><title>Результаты</title><p>Результаты. Обнаружен нелинейный МЭ-эффект, заключающийся в генерации высших гармоник МЭ-напряжения при возбуждении структуры циркулярными магнитными полями в нерезонансном режиме. Исследованы полевые и амплитудные зависимости первых трех гармоник МЭ-напряжения. Получены МЭ-коэффициенты для линейного МЭ-эффекта α(1) = 5.2 мВ/(Э·см) и для нелинейного МЭ-эффекта α(2) = 6 мВ/(Э2·см) и α(3) = 0.15 мВ/(Э3·см) при частоте переменного магнитного поля f = 1 кГц. Максимумы амплитуд 1-й и 3-й гармоник наблюдались при постоянном магнитном поле H ~ 7 Э, что почти в два раза меньше, чем в планарных гетероструктурах ЦТС–Metglas®.</p></sec><sec><title>Выводы</title><p>Выводы. Обнаружен и исследован нелинейный МЭ-эффект в кольцевой структуре на основе пьезокерамики ЦТС и аморфного ФМ-сплава Metglas®. Вследствие отсутствия размагничивания при циркулярном намагничивании замкнутого ФМ-слоя нелинейные МЭ-эффекты проявляются при значительно меньших амплитудах возбуждающего переменного и управляющего постоянного магнитных полей по сравнению с планарными гетероструктурами. Исследуемые кольцевые структуры могут быть использованы для создания на их основе умножителей частоты.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Objectives</title><p>Objectives. The relevance of the study of magnetoelectric (ME) effect in ring ferromagnetic–piezoelectric heterostructures is due to the possibility of creating various ME devices having improved characteristics. A detailed investigation of the nonlinear ME effect in a ring composite heterostructure based on lead zirconate titanate (PZT) piezoceramics and Metglas® amorphous ferromagnetic (FM) alloy under circular magnetization is presented.</p></sec><sec><title>Methods</title><p>Methods. The ME effect was measured by the low-frequency magnetic field modulation method. Excitation alternating- and constant magnetic bias fields were created using toroidal coils wound on a ring heterostructure for circular magnetization of the FM layer.</p></sec><sec><title>Results</title><p>Results. When excited with circular magnetic fields in a non-resonant mode, the ME ring heterostructure generates a nonlinear ME voltage of higher harmonics. The field and amplitude dependencies of the first three ME voltage harmonics were investigated. ME coefficients were obtained for the linear ME effect α(1) = 5.2 mV/(Oe·cm), the nonlinear ME effect α(2) = 6 mV/(Oe2·cm), and α(3) = 0.15 mV/(Oe3·cm) at an excitation magnetic field frequency f = 1 kHz. The maximum amplitudes of the 1st and 3rd harmonics were observed at a constant bias magnetic field H ~ 7 Oe, which is almost two times smaller than in planar PZT–Metglas® heterostructures.</p></sec><sec><title>Conclusions</title><p>Conclusions. A nonlinear ME effect was observed and investigated in a ring heterostructure based on PZT piezoceramics and Metglas® amorphous FM alloy. Due to the absence of demagnetization during circular magnetization of the closed FM layer, nonlinear ME effects are detected at significantly lower amplitudes of the exciting alternating and constant bias magnetic fields as compared to planar heterostructures. The investigated ring heterostructures are of potential use in the creation of frequency multipliers.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>нелинейный магнитоэлектрический эффект</kwd><kwd>композитная гетероструктура</kwd><kwd>магнитострикция</kwd><kwd>ферромагнетик</kwd><kwd>пьезоэлектрический эффект</kwd></kwd-group><kwd-group xml:lang="en"><kwd>nonlinear magnetoelectric effect</kwd><kwd>composite heterostructure</kwd><kwd>magnetostriction</kwd><kwd>ferromagnet</kwd><kwd>piezoelectric effect</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена при финансовой поддержке Российского научного фонда, грант № 19-79-10128-П. Изготовление образцов выполнено при финансовой поддержке гранта «Для молодых ученых 2022–2023 РТУ МИРЭА» (НИЧ-57). Измерения Фурье-спектров выполнены на оборудовании Центра коллективного пользования РТУ МИРЭА (ЦКП РТУ МИРЭА).</funding-statement><funding-statement xml:lang="en">This work was financially supported by the Russian Science Foundation, grant No. 19-79-10128-P. The samples were made with the financial support of grant “For young scientists 2022–2023 RTU MIREA” (NICh-57). Measurements of Fourier spectra were performed using equipment of the RTU MIREA Center for Collective Use.</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">Kopyl S., Surmenev R., Surmeneva M., Fetisov Y., Kholkin A. Magnetoelectric effect: principles and applications in biology and medicine – a review. 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