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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 custom-type="elpub" pub-id-type="custom">najo-1084</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>A quantitative model for quantum transport in nano-transistors</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>Wulf</surname><given-names>U.</given-names></name></name-alternatives><bio xml:lang="en"><p>Postfach 101344, 03013 Cottbus.</p></bio><email xlink:type="simple">wulf@physik.tu-cottbus.de</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>Krahlisch</surname><given-names>M.</given-names></name></name-alternatives><bio xml:lang="en"><p>Postfach 101344, 03013 Cottbus.</p></bio><email xlink:type="simple">TheBrute@gmx.de</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>Kučera</surname><given-names>J.</given-names></name></name-alternatives><bio xml:lang="en"><p>Cukrovarnická 10, 162 53 Praha 6.</p></bio><email xlink:type="simple">kucera@fzu.cz</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Richter</surname><given-names>H.</given-names></name></name-alternatives><bio xml:lang="en"><p>Postfach 101344, 03013 Cottbus.</p></bio><email xlink:type="simple">richter@gfww.de</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>Höntschel</surname><given-names>J.</given-names></name></name-alternatives><bio xml:lang="en"><p>Wilschdorfer Landstraße 101, 01109 Dresden.</p></bio><email xlink:type="simple">jan.hoentschel@globalfoundries.com</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>BTU Cottbus-Senftenberg, Fakultät 1</institution><country>Germany</country></aff><aff xml:lang="en" id="aff-2"><institution>Institute of Physics, Academy of Sciences of the Czech Republic</institution><country>Czech Republic</country></aff><aff xml:lang="en" id="aff-3"><institution>GLOBALFOUNDRIES Dresden</institution><country>Germany</country></aff><pub-date pub-type="collection"><year>2013</year></pub-date><pub-date pub-type="epub"><day>17</day><month>08</month><year>2025</year></pub-date><volume>4</volume><issue>6</issue><fpage>800</fpage><lpage>809</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Wulf U., Krahlisch M., Kučera J., Richter H., Höntschel J., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Wulf U., Krahlisch M., Kučera J., Richter H., Höntschel J.</copyright-holder><copyright-holder xml:lang="en">Wulf U., Krahlisch M., Kučera J., Richter H., Höntschel J.</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/1084">https://nanojournal.ifmo.ru/jour/article/view/1084</self-uri><abstract><p>In a number of recent publications, a one-dimensional effective model for quantum transport in a nanotransistor was developed yielding qualitative agreement with the trace of an experimental transistor. To make possible a quantitative comparison, we introduce three phenomenological parameters in our model, the first one describing the overlap between the wave functions in the contacts and in the transistor channel, the second one is the transistor temperature, and the third one is the maximum height of the source-drain barrier. These parameters are adjusted to the traces of three experimental transistors. An accurate fit is obtained if the three adjustable parameters are determined for each gate voltage resulting in three calibration functions. In the threshold- and subthreshold regime the calibration functions are physically interpretable and allow one to extract key data from the transistors, such as their working temperature, their body factor, a linear combination of the flat band voltage and the built-in potential between substrate and source contact, and the quality of the wave function coupling between the contacts and the electron channel.</p></abstract><kwd-group xml:lang="en"><kwd>nano-transistor</kwd><kwd>quantum transport</kwd><kwd>quantitative transistor model</kwd><kwd>nano-FET</kwd><kwd>drain current</kwd></kwd-group><funding-group><funding-statement xml:lang="en">We gratefully acknowledge funding by the ’Nachwuchsforschergruppe Hybride Systeme des Landes Brandenburg’.</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">Lundstrom M., Guo J. Nanoscale Transistors. 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