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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 custom-type="elpub" pub-id-type="custom">najo-1200</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>CONTRIBUTED TALKS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>CONTRIBUTED TALKS</subject></subj-group></article-categories><title-group><article-title>Application of Green’s function approach to electronic structure   of carbon nanocylinders</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>Smotlacha</surname><given-names>J.</given-names></name></name-alternatives><bio xml:lang="en"><p> Brehova 7, 110 00 Prague</p></bio><email xlink:type="simple">smota@centrum.cz</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Pincak</surname><given-names>R.</given-names></name></name-alternatives><bio xml:lang="en"><p> Watsonova 47,043 53 Kosice</p></bio><email xlink:type="simple">pincak@saske.sk</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University</institution><country>Czech Republic</country></aff><aff xml:lang="en" id="aff-2"><institution>Institute of Experimental Physics, Slovak Academy of Sciences</institution><country>Slovakia</country></aff><pub-date pub-type="collection"><year>2013</year></pub-date><pub-date pub-type="epub"><day>20</day><month>08</month><year>2025</year></pub-date><volume>4</volume><issue>4</issue><issue-title>Special Issue.  INTERNATIONAL CONFERENCE   "MATHEMATICAL CHALLENGE OF QUANTUM  TRANSPORT IN NANOSYSTEMS - 2013.   PIERRE DUCLOS WORKSHOP"</issue-title><fpage>490</fpage><lpage>495</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Smotlacha J., Pincak R., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Smotlacha J., Pincak R.</copyright-holder><copyright-holder xml:lang="en">Smotlacha J., Pincak R.</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/1200">https://nanojournal.ifmo.ru/jour/article/view/1200</self-uri><abstract><p>The local density of states of the carbon nanostructures can be calculated in different ways. Here, we present the Haydock recursion method which, using the Green’s function approach, transforms the given surface into a chain of equivalent sites. Then, using the continued fraction, we apply this procedure on the surface of the nanocylinders.</p></abstract><kwd-group xml:lang="en"><kwd>graphene</kwd><kwd>carbon nanostructures</kwd><kwd>disclination</kwd><kwd>Green function</kwd><kwd>continued fraction</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Wakabayashi K., Sasaki K. et. al., Electronic states of graphene nanoribbons and analytical solutions, Sci. Technol. Adv. Mater. 11, 054504 (2010).</mixed-citation><mixed-citation xml:lang="en">Wakabayashi K., Sasaki K. et. al., Electronic states of graphene nanoribbons and analytical solutions, Sci. Technol. Adv. 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