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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">10.17586/2220-8054-2017-8-6-717-722</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-597</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>Amplification of electromagnetic radiation in a superlattice placed in a tilted magnetic field</article-title><trans-title-group xml:lang="ru"><trans-title>Amplification of electromagnetic radiation in a superlattice placed in a tilted magnetic field</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Pyataev</surname><given-names>M. A.</given-names></name><name name-style="western" xml:lang="en"><surname>Pyataev</surname><given-names>M. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Bolshevistskaya, 68, Saransk, 430005</p></bio><bio xml:lang="en"><p>Bolshevistskaya, 68, Saransk, 430005</p></bio><email xlink:type="simple">pyataevma@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Shorokhov</surname><given-names>A. V.</given-names></name><name name-style="western" xml:lang="en"><surname>Shorokhov</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Bolshevistskaya, 68, Saransk, 430005</p></bio><bio xml:lang="en"><p>Bolshevistskaya, 68, Saransk, 430005</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Khvastunov</surname><given-names>N. N.</given-names></name><name name-style="western" xml:lang="en"><surname>Khvastunov</surname><given-names>N. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Studencheskaya, 11 A, Saransk, 430007</p></bio><bio xml:lang="en"><p>Studencheskaya, 11 A, Saransk, 430007</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Vlasov</surname><given-names>K. R.</given-names></name><name name-style="western" xml:lang="en"><surname>Vlasov</surname><given-names>K. R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Bolshevistskaya, 68, Saransk, 430005</p></bio><bio xml:lang="en"><p>Bolshevistskaya, 68, Saransk, 430005</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Krevchik</surname><given-names>V. D.</given-names></name><name name-style="western" xml:lang="en"><surname>Krevchik</surname><given-names>V. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Krasnaya, 40, Penza, 440026</p></bio><bio xml:lang="en"><p>Krasnaya, 40, Penza, 440026</p></bio><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Semenov</surname><given-names>M. B.</given-names></name><name name-style="western" xml:lang="en"><surname>Semenov</surname><given-names>M. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Krasnaya, 40, Penza, 440026</p></bio><bio xml:lang="en"><p>Krasnaya, 40, Penza, 440026</p></bio><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Alekseev</surname><given-names>K. N.</given-names></name><name name-style="western" xml:lang="en"><surname>Alekseev</surname><given-names>K. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Loughborough, Leicestershire LE11 3TU</p></bio><bio xml:lang="en"><p>Loughborough, Leicestershire LE11 3TU</p></bio><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Kusmartsev</surname><given-names>F. V.</given-names></name><name name-style="western" xml:lang="en"><surname>Kusmartsev</surname><given-names>F. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Loughborough, Leicestershire LE11 3TU</p></bio><bio xml:lang="en"><p>Loughborough, Leicestershire LE11 3TU</p></bio><xref ref-type="aff" rid="aff-4"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>National Research Mordovia State University</institution></aff><aff xml:lang="en"><institution>National Research Mordovia State University</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Mordovian State Pedagogical Institute</institution></aff><aff xml:lang="en"><institution>Mordovian State Pedagogical Institute</institution></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Penza State University</institution></aff><aff xml:lang="en"><institution>Penza State University</institution></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>Loughborough University</institution></aff><aff xml:lang="en"><institution>Loughborough University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>12</day><month>08</month><year>2025</year></pub-date><volume>8</volume><issue>6</issue><fpage>717</fpage><lpage>722</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Pyataev M.A., Shorokhov A.V., Khvastunov N.N., Vlasov K.R., Krevchik V.D., Semenov M.B., Alekseev K.N., Kusmartsev F.V., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Pyataev M.A., Shorokhov A.V., Khvastunov N.N., Vlasov K.R., Krevchik V.D., Semenov M.B., Alekseev K.N., Kusmartsev F.V.</copyright-holder><copyright-holder xml:lang="en">Pyataev M.A., Shorokhov A.V., Khvastunov N.N., Vlasov K.R., Krevchik V.D., Semenov M.B., Alekseev K.N., Kusmartsev F.V.</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/597">https://nanojournal.ifmo.ru/jour/article/view/597</self-uri><abstract><p>The interaction of electrons in a superlattice with electromagnetic radiation in presence of static electric and magnetic fields is investigated. The electric field is directed along the superlattice axis while the magnetic field is inclined at an arbitrary angle to the axis of superlattice. It is shown that the dependence of current in the superlattice on electric field in the general case can have several maxima. In some regions of electric and magnetic field values, the absorption coefficient for high frequency electromagnetic radiation can be negative that means the electromagnetic wave will be amplified. We note that negative absorption in the system is possible at some conditions at the region of positive differential conductivity in contrast to classical Bloch oscillator in which amplification takes place in case of negative differential conductivity only. This phenomenon can be used for the design of a teraherz amplifier and generator based on the superlattice.</p></abstract><trans-abstract xml:lang="ru"><p>The interaction of electrons in a superlattice with electromagnetic radiation in presence of static electric and magnetic fields is investigated. The electric field is directed along the superlattice axis while the magnetic field is inclined at an arbitrary angle to the axis of superlattice. It is shown that the dependence of current in the superlattice on electric field in the general case can have several maxima. In some regions of electric and magnetic field values, the absorption coefficient for high frequency electromagnetic radiation can be negative that means the electromagnetic wave will be amplified. We note that negative absorption in the system is possible at some conditions at the region of positive differential conductivity in contrast to classical Bloch oscillator in which amplification takes place in case of negative differential conductivity only. This phenomenon can be used for the design of a teraherz amplifier and generator based on the superlattice.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>semiconductor superlattice</kwd><kwd>magnetic field</kwd><kwd>teraherz radiation</kwd></kwd-group><kwd-group xml:lang="en"><kwd>semiconductor superlattice</kwd><kwd>magnetic field</kwd><kwd>teraherz radiation</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 RFBR (project no. 17-02-00969).</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">Esaki L., Tsu R. Superlattice and negative differential conductivity in semiconductors. IBM J. Res. Dev., 1970, 14, P. 61.</mixed-citation><mixed-citation xml:lang="en">Esaki L., Tsu R. 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