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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">10.17586/2220-8054-2016-7-3-422-426</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-1213</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>Negative differential conductivity in Fermi liquid in the presence of magnetic field</article-title><trans-title-group xml:lang="ru"><trans-title>Negative differential conductivity in Fermi liquid in the presence of 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>Konobeeva</surname><given-names>N. N.</given-names></name><name name-style="western" xml:lang="en"><surname>Konobeeva</surname><given-names>N. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Volgograd</p></bio><bio xml:lang="en"><p>Volgograd</p></bio><email xlink:type="simple">yanann@inbox.ru</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>Belonenko</surname><given-names>M. B.</given-names></name><name name-style="western" xml:lang="en"><surname>Belonenko</surname><given-names>M. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Volgograd</p></bio><bio xml:lang="en"><p>Volgograd</p></bio><email xlink:type="simple">mbelonenko@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Volgograd State University</institution></aff><aff xml:lang="en"><institution>Volgograd State University</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Volgograd State University; Volgograd Institute of Business</institution></aff><aff xml:lang="en"><institution>Volgograd State University; Volgograd Institute of Business</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2016</year></pub-date><pub-date pub-type="epub"><day>20</day><month>08</month><year>2025</year></pub-date><volume>7</volume><issue>3</issue><fpage>422</fpage><lpage>426</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Konobeeva N.N., Belonenko M.B., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Konobeeva N.N., Belonenko M.B.</copyright-holder><copyright-holder xml:lang="en">Konobeeva N.N., Belonenko M.B.</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/1213">https://nanojournal.ifmo.ru/jour/article/view/1213</self-uri><abstract><p>In this paper we, study the response of a Fermi liquid under the influence of an external magnetic field applied to the external electric field. The dispersion law of the Fermi liquid is obtained via AdS/CFT correspondence. The regions of the negative differential conductivity on the current-voltage characteristic were observed. The possibility of terahertz pulse generation in such systems was shown for a wide range of magnetic field strengths.</p></abstract><trans-abstract xml:lang="ru"><p>In this paper we, study the response of a Fermi liquid under the influence of an external magnetic field applied to the external electric field. The dispersion law of the Fermi liquid is obtained via AdS/CFT correspondence. The regions of the negative differential conductivity on the current-voltage characteristic were observed. The possibility of terahertz pulse generation in such systems was shown for a wide range of magnetic field strengths.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Fermi liquid</kwd><kwd>AdS/CFT correspondence</kwd><kwd>differential negative conductivity</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Fermi liquid</kwd><kwd>AdS/CFT correspondence</kwd><kwd>differential negative conductivity</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">This work was supported by the Russian Foundation for Basic Research under project No. 16-32-00230   and project No. 16-07-01265</funding-statement><funding-statement xml:lang="en">This work was supported by the Russian Foundation for Basic Research under project No. 16-32-00230   and project No. 16-07-01265</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">Izyumov Yu.A., Letfulov B.M., Shipitsyn E.V., Chao K.A. A theory of ferromagnetism in the Hubbard model with infinite Coulomb interaction. Int. J. Mod. Phys., 1992, 6, P. 3479–3514.</mixed-citation><mixed-citation xml:lang="en">Izyumov Yu.A., Letfulov B.M., Shipitsyn E.V., Chao K.A. A theory of ferromagnetism in the Hubbard model with infinite Coulomb interaction. Int. J. Mod. Phys., 1992, 6, P. 3479–3514.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Policastro G., Son D.T., Starinets A.O. From AdS/CFT correspondence to hydrodynamics. J. High Energy Phys., 2002, 9, P. 43.</mixed-citation><mixed-citation xml:lang="en">Policastro G., Son D.T., Starinets A.O. From AdS/CFT correspondence to hydrodynamics. J. High Energy Phys., 2002, 9, P. 43.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Pal Sh.S. Model building in AdS/CMT: DC conductivity and Hall angle. Phys. Rev. D, 2011, 84, P. 126009.</mixed-citation><mixed-citation xml:lang="en">Pal Sh.S. Model building in AdS/CMT: DC conductivity and Hall angle. Phys. Rev. D, 2011, 84, P. 126009.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Sachdev S. What can gauge-gravity duality teach us about condensed matter physics. Annual Rev. Cond. Mat. Phys, 2012, 3, P. 9.</mixed-citation><mixed-citation xml:lang="en">Sachdev S. What can gauge-gravity duality teach us about condensed matter physics. Annual Rev. Cond. Mat. Phys, 2012, 3, P. 9.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Nakayama Yu.A lecture note on scale invariance vs conformal invariance, 2013, http://arxiv.org/abs/1302.0884.</mixed-citation><mixed-citation xml:lang="en">Nakayama Yu.A lecture note on scale invariance vs conformal invariance, 2013, http://arxiv.org/abs/1302.0884.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Belonenko M.B., Konobeeva N.N., et al. Tunneling characteristics of a contact between a superlattice and non-Fermi liquid using the AdS/CFT correspondence. Mod. Phys. Let. B, 2014, 28, P. 1450170.</mixed-citation><mixed-citation xml:lang="en">Belonenko M.B., Konobeeva N.N., et al. Tunneling characteristics of a contact between a superlattice and non-Fermi liquid using the AdS/CFT correspondence. Mod. Phys. Let. B, 2014, 28, P. 1450170.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Levitov L.S., Shitov A.V. Green’s functions. Problems with solutions, Moscow: Fizmatlit, 2003, 392 p.</mixed-citation><mixed-citation xml:lang="en">Levitov L.S., Shitov A.V. Green’s functions. Problems with solutions, Moscow: Fizmatlit, 2003, 392 p.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Belonenko M.B., Mescheryakova N.E. Electromagnetic solitons in a system of quantum dots with taking into account the Hubbard interaction. J. Rus. Las. Res., 2008, 29, P. 544.</mixed-citation><mixed-citation xml:lang="en">Belonenko M.B., Mescheryakova N.E. Electromagnetic solitons in a system of quantum dots with taking into account the Hubbard interaction. J. Rus. Las. Res., 2008, 29, P. 544.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Witten E. Anti-de Sitter space and holography. Adv. Theor. Math. Phys, 1998, 2, P. 253.</mixed-citation><mixed-citation xml:lang="en">Witten E. Anti-de Sitter space and holography. Adv. Theor. Math. Phys, 1998, 2, P. 253.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Kulaxizi M., Parnachev A. Comments on Fermi Liquid from Holography. Phys. Rev. D, 2008, 78, P. 086004.</mixed-citation><mixed-citation xml:lang="en">Kulaxizi M., Parnachev A. Comments on Fermi Liquid from Holography. Phys. Rev. D, 2008, 78, P. 086004.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Kulaxizi M., Parnachev A. Holographic Responses of Fermion Matter. Nucl. Phys. B, 2009, 815, P. 125.</mixed-citation><mixed-citation xml:lang="en">Kulaxizi M., Parnachev A. Holographic Responses of Fermion Matter. Nucl. Phys. B, 2009, 815, P. 125.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Charmousis C., Gouteraux B., et al. Effective Holographic, Theories for low-temperature condensed matter systems. J. High Energy Phys, 2010, 1011, P. 151.</mixed-citation><mixed-citation xml:lang="en">Charmousis C., Gouteraux B., et al. Effective Holographic, Theories for low-temperature condensed matter systems. J. High Energy Phys, 2010, 1011, P. 151.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Hartnol S.A. Quantum critical dynamics from black holes, 2010, http://arxiv.org/abs/0909.3553v2.</mixed-citation><mixed-citation xml:lang="en">Hartnol S.A. Quantum critical dynamics from black holes, 2010, http://arxiv.org/abs/0909.3553v2.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Gladun A.D., Ryzhij V.I. Absolute negative conductivity mechanism of the thin films in quantizing transverse field. JETP Lett., 1969, 57, P. 978.</mixed-citation><mixed-citation xml:lang="en">Gladun A.D., Ryzhij V.I. Absolute negative conductivity mechanism of the thin films in quantizing transverse field. JETP Lett., 1969, 57, P. 978.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Ignatov .A., Romanov Yu.A. Absolute negative conductivity in semiconductor with superlattice. Radiophys. Quant. Electr., 1978, 21, P. 90.</mixed-citation><mixed-citation xml:lang="en">Ignatov .A., Romanov Yu.A. Absolute negative conductivity in semiconductor with superlattice. Radiophys. Quant. Electr., 1978, 21, P. 90.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Volkov A.F., Kogan Sh.M. Physical phenomena in semiconductors with negative differential conductivity. UFN, 1968, 96, P. 633.</mixed-citation><mixed-citation xml:lang="en">Volkov A.F., Kogan Sh.M. Physical phenomena in semiconductors with negative differential conductivity. UFN, 1968, 96, P. 633.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Andreev A.V., Aleiner I.L., Millis A.J. Dynamical symmetry breaking as the origin of the zero-dc-resistance state in an ac-driven system. Phys. Rev. Lett., 2003, 91, P. 056803.</mixed-citation><mixed-citation xml:lang="en">Andreev A.V., Aleiner I.L., Millis A.J. Dynamical symmetry breaking as the origin of the zero-dc-resistance state in an ac-driven system. Phys. Rev. Lett., 2003, 91, P. 056803.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Bergeret F.S., Huckestein B., Volkov A.F. Current-voltage characteristics and the zero-resistance state in a two-dimensional electron gas. Phys. Rev. B, 2003, 67, P. 241303(R).</mixed-citation><mixed-citation xml:lang="en">Bergeret F.S., Huckestein B., Volkov A.F. Current-voltage characteristics and the zero-resistance state in a two-dimensional electron gas. Phys. Rev. B, 2003, 67, P. 241303(R).</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Dragoman D., Dragoman M. Terahertz oscillations in semiconducting carbon nanotubes resonant-tunneling diodes. Physica E, 2004, 24, P. 282–289.</mixed-citation><mixed-citation xml:lang="en">Dragoman D., Dragoman M. Terahertz oscillations in semiconducting carbon nanotubes resonant-tunneling diodes. Physica E, 2004, 24, P. 282–289.</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>
