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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">10.17586/2220-8054-2019-10-5-540-548</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-587</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>Feaftures of the double photoionization spectra of two-electron impurity centers in quasi-zero-dimensional structures</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>Krevchik</surname><given-names>V. D.</given-names></name></name-alternatives><bio xml:lang="en"><p>Krasnaya str., 40, Penza, 440026</p></bio><email xlink:type="simple">physics@pnzgu.ru</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>Razumov</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Krasnaya str., 40, Penza, 440026</p></bio><email xlink:type="simple">physics@pnzgu.ru</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>Budyansky</surname><given-names>P. S.</given-names></name></name-alternatives><bio xml:lang="en"><p>Krasnaya str., 40, Penza, 440026</p></bio><email xlink:type="simple">physics@pnzgu.ru</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>Semenov</surname><given-names>M. B.</given-names></name></name-alternatives><bio xml:lang="en"><p>Krasnaya str., 40, Penza, 440026</p></bio><email xlink:type="simple">physics@pnzgu.ru</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>Moyko</surname><given-names>I. M.</given-names></name></name-alternatives><bio xml:lang="en"><p>Krasnaya str., 40, Penza, 440026</p></bio><email xlink:type="simple">physics@pnzgu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Penza State University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>23</day><month>08</month><year>2025</year></pub-date><volume>10</volume><issue>5</issue><fpage>540</fpage><lpage>548</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Krevchik V.D., Razumov A.V., Budyansky P.S., Semenov M.B., Moyko I.M., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Krevchik V.D., Razumov A.V., Budyansky P.S., Semenov M.B., Moyko I.M.</copyright-holder><copyright-holder xml:lang="en">Krevchik V.D., Razumov A.V., Budyansky P.S., Semenov M.B., Moyko I.M.</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/587">https://nanojournal.ifmo.ru/jour/article/view/587</self-uri><abstract><p>The zero-range potential method has been generalized to the case of two-electron impurity centers with an effective nuclear charge equal to zero in a spherically symmetric quantum dot (QD), and on the basis of this method the first ionization potential has been calculated by variational method. It is shown that as the radius of QD decreases, the threshold value of the second ionization potential also decreases, beginning with which the existence of the two-electron bound state is possible due to an increase in the size-quantization energy accompanied by suppression of mutual electron repulsion. The light impurity absorption coefficient has been calculated using the dipole approximation for double ionization of the twoelectron impurity center by a single photon in a quasi-zero-dimensional structure, which is the transparent dielectric matrix with semiconductor QDs synthesized in it. It is shown that characteristic feature of the double photoionization spectrum is a two-humped profile of the spectral curve due to electron correlations.</p></abstract><kwd-group xml:lang="en"><kwd>double photoionization spectra</kwd><kwd>two-electron impurity centers</kwd><kwd>quasi-zero-dimensional structures</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work was supported by the Ministry of Education and Science of the Russian Federation (projects No. 3.6321.2017/8.9 and 2019-0940).</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">Grinberg A.A., Belorusets E.D. On the energy spectrum of multiply charged impurity centers in semiconductors. Solid State Physics, 1978, 20, P. 1970–1978.</mixed-citation><mixed-citation xml:lang="en">Grinberg A.A., Belorusets E.D. 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