<article 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" article-type="research-article" dtd-version="1.2" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">Journal of Experimental and Theoretical Physics</journal-id><journal-title-group><journal-title>Journal of Experimental and Theoretical Physics</journal-title></journal-title-group><issn publication-format="print">0044-4510</issn><issn publication-format="electronic">3034-641X</issn><publisher><publisher-name>Russian Academy of Science</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.7868/S3034641X2503006X</article-id><title-group><article-title>TEORIYa VNUTRIZONNYKh OPTIChESKIKh PEREKhODOV V NANOKRISTALLAKh KREMNIYa S ATOMOM VISMUTA</article-title><trans-title-group xml:lang="ru"><trans-title>ТЕОРИЯ ВНУТРИЗОННЫХ ОПТИЧЕСКИХ ПЕРЕХОДОВ В НАНОКРИСТАЛЛАХ КРЕМНИЯ С АТОМОМ ВИСМУТА</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Maksimova</surname><given-names>G. M.</given-names></name><name xml:lang="ru"><surname>Максимова</surname><given-names>Г. М. </given-names></name></name-alternatives><email>maksimova_g_m_noemail@ras.ru</email><xref ref-type="aff" rid="aff-1"></xref><xref ref-type="aff" rid="aff-2"></xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Fomichev</surname><given-names>C. A.</given-names></name><name xml:lang="ru"><surname>Фомичев</surname><given-names>C. А. </given-names></name></name-alternatives><email>fomichev_c_a_noemail@ras.ru</email><xref ref-type="aff" rid="aff-3"></xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Burdov</surname><given-names>V. A.</given-names></name><name xml:lang="ru"><surname>Бурдов</surname><given-names>В. А. </given-names></name></name-alternatives><email>burdov_v_a_noemail@ras.ru</email><xref ref-type="aff" rid="aff-5"></xref></contrib></contrib-group><aff-alternatives id="aff-1"><aff><institution xml:lang="ru">Нижегородский государственный университет им. Н. И. Лобачевского</institution><institution xml:lang="en"></institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff><institution xml:lang="ru"></institution><institution xml:lang="en"></institution></aff></aff-alternatives><aff-alternatives id="aff-3"><aff><institution xml:lang="ru">Нижегородский государственный университет им. Н. И. Лобачевского</institution><institution xml:lang="en"></institution></aff></aff-alternatives><aff-alternatives id="aff-5"><aff><institution xml:lang="ru">Нижегородский государственный университет им. Н. И. Лобачевского</institution><institution xml:lang="en"></institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-03-07" publication-format="electronic"><day>07</day><month>03</month><year>2025</year></pub-date><volume>167</volume><issue>3</issue><fpage>353</fpage><lpage>361</lpage><abstract xml:lang="en"><p>Обсуждается модель эффективной световой эмиссии видимого диапазона в слаболегированных висмутом нанокристаллах кремния (один донор на нанокристалл), осуществляемая за счет внутризонных электронных переходов триплет–синглет. Показано, что для нанокристаллов размерами 2–3 нм имеет место сильное расщепление уровней в нижней части энергетического спектра зоны проводимости за счет короткодействующего потенциала иона Bi. Оптически активными оказываются переходы из двух нижних триплетных состояний в основное (синглетное) состояние. При этом скорость переходов может превышать 107 с−1.</p></abstract><trans-abstract xml:lang="ru"><p>Обсуждается модель эффективной световой эмиссии видимого диапазона в слаболегированных висмутом нанокристаллах кремния (один донор на нанокристалл), осуществляемая за счет внутризонных электронных переходов триплет–синглет. Показано, что для нанокристаллов размерами 2–3 нм имеет место сильное расщепление уровней в нижней части энергетического спектра зоны проводимости за счет короткодействующего потенциала иона Bi. Оптически активными оказываются переходы из двух нижних триплетных состояний в основное (синглетное) состояние. При этом скорость переходов может превышать 107 с−1.</p></trans-abstract><funding-group xml:lang="ru"><funding-statement>В. А. Бурдов и С. А. Фомичев выражают благодарность Российскому научному фонду (грант№ 23-22-00275) за финансовую поддержку. Г. М. Максимова была поддержана Министерством науки и высшего образования РФ в рамках госзадания FSWR-2023-0035.</funding-statement></funding-group><funding-group xml:lang="en"><funding-statement>В. А. Бурдов и С. А. Фомичев выражают благодарность Российскому научному фонду (грант№ 23-22-00275) за финансовую поддержку. Г. М. Максимова была поддержана Министерством науки и высшего образования РФ в рамках госзадания FSWR-2023-0035.</funding-statement></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>B1</label><citation-alternatives><mixed-citation xml:lang="ru">S. G. Pavlov, H. W. H¨ubers, J. N. Hovenier, T. O. Klaassen, D. A. Carder, P. J. Phillips, B. Redlich, H. Riemann, R. Kh. Zhukavin, and V. N. Shastin, Phys. Rev. Lett. 96, 037404 (2006).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B2"><label>B2</label><citation-alternatives><mixed-citation xml:lang="ru">S. G. Pavlov, H. W. H¨ubers, U. B¨ottger, R. Kh. Zhukavin, V. N. Shastin, J. N. Hovenier, B. Redlich, N. V. Abrosimov, and H. Riemann, Appl. Phys. Lett. 92, 091111 (2008).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B3"><label>B3</label><citation-alternatives><mixed-citation xml:lang="ru">S. G. Pavlov, U. B¨ottger, J. N. Hovenier, N. V. Abrosimov, H. Riemann, R. Kh. Zhukavin, V. N. Shastin, B. Redlich, A. F. G. van der Meer, and H. W. H¨ubers, Appl. Phys. Lett. 94, 171112 (2009).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B4"><label>B4</label><citation-alternatives><mixed-citation xml:lang="ru">S. G. Pavlov, U. B¨ottger, R. Eichholz, N. V. Abrosimov, H. Riemann, V. N. Shastin, B. Redlich, and H. W. H¨ubers, Appl. Phys. Lett. 95, 201110 (2009).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B5"><label>B5</label><citation-alternatives><mixed-citation xml:lang="ru">V. A. Belyakov, A. I. Belov, A. N. Mikhaylov, D. I. Tetelbaum, and V. A. Burdov, J. Phys.: Condens. Matter 21, 045803 (2009).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B6"><label>B6</label><citation-alternatives><mixed-citation xml:lang="ru">T. C.-J. Yang, K. Nomoto, B. Puthen-Veettil, Z. Lin, L. Wu, T. Zhang, X. Jia, G. Conibeer, and I. PerezWurfl, Mater. Res. Express 4, 075004 (2017).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B7"><label>B7</label><citation-alternatives><mixed-citation xml:lang="ru">K. Nomoto, T. C. -J. Yang, A. V. Ceguerra, T. Zhang, Z. Lin, A. Breen, L. Wu, B. Puthen-Veettil, X. Jia, G. Conibeer, I. Perez-Wurfl, and S. P. Ringer, J. Appl. Phys. 122, 025102 (2017).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B8"><label>B8</label><citation-alternatives><mixed-citation xml:lang="ru">E. Klimesova, K. Kusova, J. Vacik, V. Holy, and I. Pelant, J. Appl. Phys. 112, 064322 (2012).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B9"><label>B9</label><citation-alternatives><mixed-citation xml:lang="ru">V. A. Belyakov and V. A. Burdov, Phys. Rev. B 79, 035302 (2009).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B10"><label>B10</label><citation-alternatives><mixed-citation xml:lang="ru">N. V. Derbenyova and V. A. Burdov, J. Appl. Phys. 123, 161598 (2018).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B11"><label>B11</label><citation-alternatives><mixed-citation xml:lang="ru">N. V. Derbenyova, A. A. Konakov, and V. A. Burdov, J. Lumin. 233, 117904 (2021).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B12"><label>B12</label><citation-alternatives><mixed-citation xml:lang="ru">V. A. Burdov and M. I. Vasilevskiy, Appl. Sci. 11, 497 (2021).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B13"><label>B13</label><citation-alternatives><mixed-citation xml:lang="ru">F. Sangghaleh, I. Sychugov, Z. Yang, J. G. C. Veinot, and J. Linnros, ACS Nano 9, 7097 (2015).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B14"><label>B14</label><citation-alternatives><mixed-citation xml:lang="ru">C. Delerue, M. Lannoo, G. Allan, E. Martin, I. Mihalcescu, J. C. Vial, R. Romestain, F. M¨uller, and A. Bsiesy, Phys. Rev. Lett. 75, 2228 (1995).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B15"><label>B15</label><citation-alternatives><mixed-citation xml:lang="ru">C. Sevik and C. Bulutay, Phys. Rev. B 77, 125414 (2008).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B16"><label>B16</label><citation-alternatives><mixed-citation xml:lang="ru">G. Allan and C. Delerue, Phys. Rev. B 66, 233303 (2002).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B17"><label>B17</label><citation-alternatives><mixed-citation xml:lang="ru">W. Kohn and J. M. Luttinger, Phys. Rev. 97, 1721 (1955).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B18"><label>B18</label><citation-alternatives><mixed-citation xml:lang="ru">W. Kohn and J. M. Luttinger, Phys. Rev. 98, 915 (1955).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B19"><label>B19</label><citation-alternatives><mixed-citation xml:lang="ru">Z. Zhou, M. L. Steigerwald, R. A. Friesner, L. Brus, andM. S. Hybertsen, Phys. Rev. B 71, 245308 (2005).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B20"><label>B20</label><citation-alternatives><mixed-citation xml:lang="ru">N. V. Derbenyova and V. A. Burdov, J. Phys. Chem. C 122, 850 (2018).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B21"><label>B21</label><citation-alternatives><mixed-citation xml:lang="ru">S. Ossicini, I. Marri, M. Amato, M. Palummo, E. Canadell, and R. Rurali, Faraday Discuss. 222, 217 (2020).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B22"><label>B22</label><citation-alternatives><mixed-citation xml:lang="ru">V. A. Belyakov and V. A. Burdov, Phys. Lett. A 367, 128 (2007).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B23"><label>B23</label><citation-alternatives><mixed-citation xml:lang="ru">S. T. Pantelides and C. T. Sah, Phys. Rev. B 10, 621 (1974).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B24"><label>B24</label><citation-alternatives><mixed-citation xml:lang="ru">В. А. Бурдов,ЖЭТФ 121, 480 (2002)</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B25"><label>B25</label><citation-alternatives><mixed-citation xml:lang="ru">V. A. Burdov, JETP 94, 411 (2002).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B26"><label>B26</label><citation-alternatives><mixed-citation xml:lang="ru">А. А. Копылов, ФТП 16, 2141 (1982)</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B27"><label>B27</label><citation-alternatives><mixed-citation xml:lang="ru">A. Kopylov, Sov. Phys. Semicond. 16, 1380 (1982).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B28"><label>B28</label><citation-alternatives><mixed-citation xml:lang="ru">J. L. Ivey and R. L. Mieher, Phys. Rev. B 11, 822 (1975).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B29"><label>B29</label><citation-alternatives><mixed-citation xml:lang="ru">V. A. Belyakov and V. A. Burdov, Phys. Rev. B 76, 045335 (2007).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B30"><label>B30</label><citation-alternatives><mixed-citation xml:lang="ru">V. A. Belyakov, V. A. Burdov, R. Lockwood, and A. Meldrum, Adv. Opt. Tech. 2008, 279502 (2008).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B31"><label>B31</label><citation-alternatives><mixed-citation xml:lang="ru">R. A. Faulkner, Phys. Rev. 184, 713 (1969).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B32"><label>B32</label><citation-alternatives><mixed-citation xml:lang="ru">A. K. Ramdas and S. Rodriguez, Rep. Prog. Phys. 44, 1297 (1981).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B33"><label>B33</label><citation-alternatives><mixed-citation xml:lang="ru">A. J. Mayur, M. Dean Sciacca, A. K. Ramdas, and S. Rodriguez, Phys. Rev. B 48, 10893 (1993).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B34"><label>B34</label><citation-alternatives><mixed-citation xml:lang="ru">U. Bockelmann and G. Bastard, Phys. Rev. B 42, 8947 (1990).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B35"><label>B35</label><citation-alternatives><mixed-citation xml:lang="ru">T. Inoshita and H. Sakaki, Phys. Rev. B 46, 7260 (1992).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B36"><label>B36</label><citation-alternatives><mixed-citation xml:lang="ru">R. Heitz, H. Born, F. Guffarth, O. Stier, A. Schliwa, A. Hoffmann, and D. Bimberg, Phys. Rev. B 64, 241305 (2001).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B37"><label>B37</label><citation-alternatives><mixed-citation xml:lang="ru">J. Urayama, N. B. Norris, J. Singh, and P. Bhattacharya, Phys. Rev. Lett. 86, 4930 (2001).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B38"><label>B38</label><citation-alternatives><mixed-citation xml:lang="ru">P. Guyot-Sionnest, B. Wehrenberg, and D. Yu, J. Chem. Phys. 123, 074709 (2005).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B39"><label>B39</label><citation-alternatives><mixed-citation xml:lang="ru">A. J. Nozik, Annu. Rev. Phys. Chem. 52, 193 (2001).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B40"><label>B40</label><citation-alternatives><mixed-citation xml:lang="ru">С. А. Фомичев, В. А. Бурдов, ФТП 57, 566 (2023)</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B41"><label>B41</label><citation-alternatives><mixed-citation xml:lang="ru">S. A. Fomichev, V. A. Burdov, Semiconductors 57, 551 (2023).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B42"><label>B42</label><citation-alternatives><mixed-citation xml:lang="ru">A. Thranhardt, C. Ell, G. Khitrova, and H. M. Gibbs, Phys. Rev. B 65, 035327 (2002).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref></ref-list></back></article>