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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">10.17586/2220-8054-2023-14-1-54-58</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-188</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>Tunneling current of contact of fractal object with metal and superlattice</article-title><trans-title-group xml:lang="ru"><trans-title>Туннельный ток контакта фрактального объекта с металлом и сверхрешеткой</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6043-9555</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Конобеева</surname><given-names>Н. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Konobeeva</surname><given-names>N. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Наталия Н. Конобеева, </p><p>Волгоград.</p></bio><bio xml:lang="en"><p>Natalia N. Konobeeva –</p><p>University avenue, 100, Volgograd, 400062.</p></bio><email xlink:type="simple">yana_nn@volsu.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/0000-0003-2003-3793</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Белоненко</surname><given-names>М. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Belonenko</surname><given-names>M. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Михаил Б. Белоненко,</p><p>Волгоград.</p></bio><bio xml:lang="en"><p>Mikhail B. Belonenko –</p><p>University avenue, 100, Volgograd, 400062.</p></bio><email xlink:type="simple">belonenko@volsu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Volgograd State University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>05</day><month>06</month><year>2025</year></pub-date><volume>14</volume><issue>1</issue><fpage>54</fpage><lpage>58</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Konobeeva N.N., Belonenko M.B., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Конобеева Н.Н., Белоненко М.Б.</copyright-holder><copyright-holder xml:lang="en">Konobeeva N.N., Belonenko M.B.</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/188">https://nanojournal.ifmo.ru/jour/article/view/188</self-uri><abstract><p>In this paper, we study the features of the electric current under conditions of the tunnel effect in fractal structures. Based on the electron dispersion law for fractal objects, an expression for finding the tunneling current is obtained. Current-voltage characteristics are constructed for the following contacts: fractalfractal, fractal-metal, fractal-superlattice. The influence of the fractal dimension on the characteristics of the tunneling current is revealed.</p></abstract><trans-abstract xml:lang="ru"><p>В данной работе исследуются особенности протекания электрического тока в условиях туннельного эффекта во фрактальных структурах. На основе закона дисперсии электронов для фрактальных объектов получено выражение для нахождения туннельного тока. Вольт-амперные характеристики построены для следующих контактов: фрактал-фрактал, фрактал-металл, фрактал-сверхрешетка. Выявлено влияние фрактальной размерности на характеристики туннельного тока.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>фракталы</kwd><kwd>фрактоны</kwd><kwd>туннелирование</kwd><kwd>вольт-амперная характеристика</kwd></kwd-group><kwd-group xml:lang="en"><kwd>fractals</kwd><kwd>fractions</kwd><kwd>tunneling</kwd><kwd>current-voltage characteristic</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">Hausdorff F. Dimension und au¨ βeres Maβ. Math. Ann., 1919, 79, P. 157–179.</mixed-citation><mixed-citation xml:lang="en">Hausdorff F. Dimension und au¨ βeres Maβ. Math. Ann., 1919, 79, P. 157–179.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Heymans O., Fissette J., Vico P., Blacher S., Masset D., Brouers F. Is fractal geometry useful in medicine and biomedical sciences? 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