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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">mrisel</journal-id><journal-title-group><journal-title xml:lang="en">Magnetic Resonance in Solids</journal-title><trans-title-group xml:lang="ru"><trans-title>Magnetic Resonance in Solids</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2072-5981</issn><publisher><publisher-name>Kazan Federal University</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">mrisel-218</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>Статьи</subject></subj-group></article-categories><title-group><article-title>The isotopic effect in highly correlated superconductors in the Anderson-Hubbard two-orbital model (in Russian)</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Akhtanin</surname><given-names>A. P.</given-names></name></name-alternatives><bio xml:lang="en"><p>Yoshkar-Ola, Mari El, 424001</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Kosov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>Yoshkar-Ola, Mari El, 424001</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Mari State University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2004</year></pub-date><pub-date pub-type="epub"><day>22</day><month>01</month><year>2024</year></pub-date><volume>6</volume><issue>1</issue><issue-title>Special Issue</issue-title><fpage>11</fpage><lpage>16</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Akhtanin A.P., Kosov A.A., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Akhtanin A.P., Kosov A.A.</copyright-holder><copyright-holder xml:lang="en">Akhtanin A.P., Kosov A.A.</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.mrsej.ru/jour/article/view/218">https://www.mrsej.ru/jour/article/view/218</self-uri><abstract><p>The two-orbital Hubbard model is used to obtain formula for the fermion excitation spectrum in the energy bands hybridized by Anderson’s interaction. A transition to the Hubbard operators diagonalizes the one-site part of the Hamiltonian and allows us to use Green’s function technique to take into account the interstitial hopping term, while studying the superconducting properties of the model. By proposing the dependence of the matrix element responsible for hybridization of p- and d- electronic states on the ampltitude of local vibrations of ions, we determined a value of isotopic effect a = ( M / Tc ) ( dTc / dM ) (M – mass of ions). The dependence of a upon carrier density and energy parameters determining the intra-atomic correlation is analyzed. It was concluded, that at some values of parameters the isotopic effect in Tc can be large enough and the model under consideration can be used for the description of the isotopic shift in Tc for a number of superconductors.</p></abstract></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Izyumov Yu.A., Katsnel'son M.I., Skryabin Yu.N. Magnetism of Collectivized Electrons [in Russian ]. - Moscow: Nauka, 1994.</mixed-citation><mixed-citation xml:lang="en">Izyumov Yu.A., Katsnel'son M.I., Skryabin Yu.N. Magnetism of Collectivized Electrons [in Russian ]. - Moscow: Nauka, 1994.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Schilling J.S., Klotz S. Physical Properties of High Temperature Superconductors /ed. by D.M. 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Analisis of the effect of oxygen doping snd pressure on superconducting phase transition in Y0.9Ca0.1Ba2Cu3O7.5// 32-nd Workshop on Low Temperature Physics, Russia, Kazan, 3-6 Occober. Казань, 2000. - P. 169-170.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
