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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">10.17586/2220-8054-2019-10-5-520-529</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-584</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>Recombination radiation associated with A+-centers in quantum dots in an external magnetic field</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 contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Khvastunov</surname><given-names>N. N.</given-names></name></name-alternatives><bio xml:lang="en"><p>Studend str., 11 “a”, Saransk, Mordovian Rep., 430007</p></bio><email xlink:type="simple">physics@pnzgu.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Penza State University</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-2"><institution>Mordovian State Pedagogical Institute named after M. E. Yevseviev</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>520</fpage><lpage>529</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Krevchik V.D., Razumov A.V., Budyansky P.S., Semenov M.B., Moyko I.M., Khvastunov N.N., 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., Khvastunov N.N.</copyright-holder><copyright-holder xml:lang="en">Krevchik V.D., Razumov A.V., Budyansky P.S., Semenov M.B., Moyko I.M., Khvastunov N.N.</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/584">https://nanojournal.ifmo.ru/jour/article/view/584</self-uri><abstract><p>The effect of an external magnetic field on the binding energy of a hole in an impurity complex A+ +e in a spherically symmetric quantum dot, as well as frequency dependence of the spectral intensity of recombination radiation of the quasi-zero-dimensional structure with impurity complexes A+ + e have been investigated. It is shown that in an external magnetic field there is a spatial anisotropy for the binding energy of A+-state due to hybrid quantization in the quantum dot radial plane and dimensional quantization in the direction of an external magnetic field. It is shown that in an external magnetic field the spectral intensity curve of the recombination radiation shifts to the short-wavelength region of the spectrum and probability of the radiative transition of an electron to the level of A+-center increases, which is caused by increase in the overlap integral of the envelope wave functions of a hole bound at the A+-center and of an electron localized in the ground state of quantum dot.</p></abstract><kwd-group xml:lang="en"><kwd>recombination radiation</kwd><kwd>quantum dots</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 (project 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">Zaytsev S.A., Knyr V.A. Reaction of the atoms double photoionization in the J-matrix approach. Bulletin of the Pacific State University, 2010, 1 (16), 13.</mixed-citation><mixed-citation xml:lang="en">Zaytsev S.A., Knyr V.A. Reaction of the atoms double photoionization in the J-matrix approach. Bulletin of the Pacific State University, 2010, 1 (16), 13.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Petrov P.V., Ivanov Yu.L., Averkiev N.S. Circular polarization of photoluminescence for the two-dimensional system of A+-centers in an external magnetic field. Physics and technology of semiconductors , 2011, 45 (27), 794.</mixed-citation><mixed-citation xml:lang="en">Petrov P.V., Ivanov Yu.L., Averkiev N.S. Circular polarization of photoluminescence for the two-dimensional system of A+-centers in an external magnetic field. Physics and technology of semiconductors , 2011, 45 (27), 794.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Shamirzayev T.S., Timensky A.M., et al. Long-term kinetics of photoluminescence for InAs/AlAs-quantum dots in an external magnetic field. Physics and technology of semiconductors, 2005, 33 (1), 35.</mixed-citation><mixed-citation xml:lang="en">Shamirzayev T.S., Timensky A.M., et al. Long-term kinetics of photoluminescence for InAs/AlAs-quantum dots in an external magnetic field. Physics and technology of semiconductors, 2005, 33 (1), 35.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Ekimov A.I., Onuschenko A.A., Efros Al.L. Quantization of the holes energy spectrum in the electron adiabatic potential. JETP Letters, 1986, 43 (6), 292.</mixed-citation><mixed-citation xml:lang="en">Ekimov A.I., Onuschenko A.A., Efros Al.L. Quantization of the holes energy spectrum in the electron adiabatic potential. JETP Letters, 1986, 43 (6), 292.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Astakhov G.V., Kochereshko V.P., et al. Photoluminescence of the InAs-quantum dots grown on the disoriented GaAs-substrates. Physics and technology of semiconductors, 1999, 33, 1084.</mixed-citation><mixed-citation xml:lang="en">Astakhov G.V., Kochereshko V.P., et al. Photoluminescence of the InAs-quantum dots grown on the disoriented GaAs-substrates. Physics and technology of semiconductors, 1999, 33, 1084.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Krevchik V.D., Grunin A.B., Zaitsev R.V. Anisotropy of the magneto-optical absorption for complexes “quantum dot-impurity center”. Physics and technology of semiconductors, 2002, 36 (10), 1225.</mixed-citation><mixed-citation xml:lang="en">Krevchik V.D., Grunin A.B., Zaitsev R.V. Anisotropy of the magneto-optical absorption for complexes “quantum dot-impurity center”. Physics and technology of semiconductors, 2002, 36 (10), 1225.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Zhu J.L. Exact Solutions for hydrogenic donor states in a spherically rectangular quantum well. Physical Review B, 1989, 39 (12), 8780(R).</mixed-citation><mixed-citation xml:lang="en">Zhu J.L. Exact Solutions for hydrogenic donor states in a spherically rectangular quantum well. Physical Review B, 1989, 39 (12), 8780(R).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Galiev V.I., Poluanov A.F. Spectra of energy and optical absorption of shallow impurities in the semiconductor quantum dot. Physics and technology of semiconductors, 1993, 27 (7), 1202.</mixed-citation><mixed-citation xml:lang="en">Galiev V.I., Poluanov A.F. Spectra of energy and optical absorption of shallow impurities in the semiconductor quantum dot. Physics and technology of semiconductors, 1993, 27 (7), 1202.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Krevchik V.D., Zaitsev R.V. The light impurity absorption in structures with quantum dots. Physics and technology of semiconductors, 2001, 43 (23), 504.</mixed-citation><mixed-citation xml:lang="en">Krevchik V.D., Zaitsev R.V. The light impurity absorption in structures with quantum dots. Physics and technology of semiconductors, 2001, 43 (23), 504.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Pakhomov A.A., Khalipov K.V., Yassievich I.N. Local electronic states in semiconductor quantum wells. Physics and technology of semiconductors, 1996, 30 (8), 1387.</mixed-citation><mixed-citation xml:lang="en">Pakhomov A.A., Khalipov K.V., Yassievich I.N. Local electronic states in semiconductor quantum wells. Physics and technology of semiconductors, 1996, 30 (8), 1387.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Mikhailov A.I., Mikhailov I.A. Double photoionization and ionization with excitation under the Compton scattering of high-energy photons on metastable states of the helium-like ions. JETP, 1999, 116 (6), 1889.</mixed-citation><mixed-citation xml:lang="en">Mikhailov A.I., Mikhailov I.A. Double photoionization and ionization with excitation under the Compton scattering of high-energy photons on metastable states of the helium-like ions. JETP, 1999, 116 (6), 1889.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</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. On the energy spectrum of multiply charged impurity centers in semiconductors. Solid State Physics, 1978, 20, P. 1970–1978.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Huant S., Najda S.P., Etienne B. Two-dimensional D--centers. Physical Review Letters, 1990, 65, 1486.</mixed-citation><mixed-citation xml:lang="en">Huant S., Najda S.P., Etienne B. Two-dimensional D--centers. Physical Review Letters, 1990, 65, 1486.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Durnev M.V. Zeeman splitting of the lightweight hole states in quantum wells: comparison of theory and experiment. Solid State Physics, 2014, 56 (7), 1364.</mixed-citation><mixed-citation xml:lang="en">Durnev M.V. Zeeman splitting of the lightweight hole states in quantum wells: comparison of theory and experiment. Solid State Physics, 2014, 56 (7), 1364.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Krevchik V.D., Zaitsev R.V., Evstifeev V.V. To the photoionization theory for the deep impurity centers in a parabolic quantum well. Physics and technology of semiconductors, 2000, 34 (10), 1244.</mixed-citation><mixed-citation xml:lang="en">Krevchik V.D., Zaitsev R.V., Evstifeev V.V. To the photoionization theory for the deep impurity centers in a parabolic quantum well. Physics and technology of semiconductors, 2000, 34 (10), 1244.</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>
