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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-220</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>Polaron effects in extended Hubbard model (in English)</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>Eremin</surname><given-names>I.</given-names></name></name-alternatives><bio xml:lang="en"><p>Berlin</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>Eremin</surname><given-names>M. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>420008 Kazan</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Institut für Theoretische Physik Freie Universität</institution><country>Germany</country></aff><aff xml:lang="en" id="aff-2"><institution>Physics Department, Kazan 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>21</fpage><lpage>32</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Eremin I., Eremin M.V., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Eremin I., Eremin M.V.</copyright-holder><copyright-holder xml:lang="en">Eremin I., Eremin M.V.</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/220">https://www.mrsej.ru/jour/article/view/220</self-uri><abstract><p>Starting from the three-band p-d Hubbard Hamiltonian we derive the effective t-J model Hamiltonian including electron-phonon interaction of quasiparticles with optical phonons and strong electron correlations. We consider two possible cases when the carriers move over the oxygen sites and also if the they move over the copper sublattice. Most importantly, we find that the phonon renormalization of t is quite different in both cases. Within an effective Hamiltonian we analyze the influence of phonons on the dynamical spin susceptibility in layered cuprates. For example, we find an isotope effect on resonance peak in the magnetic spin susceptibility, Im\chi(q,\omega), seen by inelastic neutron scattering. It experimental observation would be a strong argument in favor of polaronic character of the carrier motion in layered cuprates.</p></abstract></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Chubukov A.V., Pines D., and Schmalian J., (2003). 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