najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2017-8-3-365-370najo-613Research ArticlePHYSICSФИЗИКАMultidimensional light bullets in Fermi liquid in the presence of magnetic field and AdS/CFT correspondenceKonobeevaN. N.

400062, Volgograd

yana_nn@volsu.ruBelonenkoM. B.

400062, Volgograd; 400048, Volgograd

belonenko@volsu.ruVolgograd State UniversityRussian FederationVolgograd State University; Laboratory of Nanotechnology, Volgograd Institute of BusinessRussian Federation20171108202583365370Copyright © Konobeeva N.N., Belonenko M.B., 20252025Konobeeva N.N., Belonenko M.B.Konobeeva N.N., Belonenko M.B.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/613

We consider the evolution of a light bullet in a fermi-liquid while considering the presence of a magnetic field. The energy spectrum for the Fermi liquid was calculated in the framework of AdS/CFT correspondence. The influence of a magnetic field’s amplitude and its period on light bullet evolution was obtained. The stable character of the light bullet propagation in the Fermi liquid in the presence of a magnetic field was confirmed.

light bulletsAdS/CFT correspondencemagnetic fieldThis work was supported by the Ministry of Education and Science of the Russian Federation, Project No. MK4562.2016.2 and by the Russian Foundation for Basic Research (Project No. 16-47-340366). Numerical modeling was carried out in the framework of the state assignment of the Ministry of Education and Science (Project No. 2.852.2017/4.6).ReferencesLandau L.D. The theory of a Fermi liquid. JETP, 1956, 30(7), P. 1058–1064.Landau L.D. The theory of a Fermi liquid. JETP, 1956, 30(7), P. 1058–1064.Midgal A.B. The theory of finite Fermi systems and properties of atomic nuclei. Nauka, Moscow, 1983, 432 p.Midgal A.B. The theory of finite Fermi systems and properties of atomic nuclei. Nauka, Moscow, 1983, 432 p.Mandal S., Saha R., Ghosh S., Chakrabarty S. Neutron star equation of state and the possibility of complex self-energy in Landau theory of a Fermi liquid in the presence of a strong, quantizing magnetic field. Phys. Rev. C, 2006, 74, P. 015801.Mandal S., Saha R., Ghosh S., Chakrabarty S. Neutron star equation of state and the possibility of complex self-energy in Landau theory of a Fermi liquid in the presence of a strong, quantizing magnetic field. Phys. Rev. C, 2006, 74, P. 015801.Sachdev S. What can gauge-gravity duality teach us about condensed matter physics? Ann. Rev. Condensed Matter Phys., 2012, 3, P. 9–33.Sachdev S. What can gauge-gravity duality teach us about condensed matter physics? Ann. Rev. Condensed Matter Phys., 2012, 3, P. 9–33.Faulkner T., Iqbal N., Liu H., McGreevy J., Vegh D. Strange metal transport realized by gauge/gravity duality. Science, 2010, 329, P. 1043-47.Faulkner T., Iqbal N., Liu H., McGreevy J., Vegh D. Strange metal transport realized by gauge/gravity duality. Science, 2010, 329, P. 1043-47.Belonenko M.B., Konobeeva N.N., Galkina E.N. Quick introduction into AdS/CFT correspondence in physics of strongly correlated systems. Nanosystems: physics, chemistry, mathematics, 2016, 7(4), P. 410–421.Belonenko M.B., Konobeeva N.N., Galkina E.N. Quick introduction into AdS/CFT correspondence in physics of strongly correlated systems. Nanosystems: physics, chemistry, mathematics, 2016, 7(4), P. 410–421.Maldacena J.M. The large N limit of superconformal field theories and supergravity. Int. J. Theor. Phys., 1999, 38, P. 1113–1133.Maldacena J.M. The large N limit of superconformal field theories and supergravity. Int. J. Theor. Phys., 1999, 38, P. 1113–1133.Pal Sh.S. Model building in AdS/CMT: DC conductivity and Hall angle. Phys Rev D., 2011, 84, P. 126009.Pal Sh.S. Model building in AdS/CMT: DC conductivity and Hall angle. Phys Rev D., 2011, 84, P. 126009.Konobeeva N.N., Belonenko M.B. Propagation of few cycle optical pulses in marginal Fermi liquid and AdS/CFT correspondence Physica B: Condensed Matter, 2015, 478, P. 43–46.Konobeeva N.N., Belonenko M.B. Propagation of few cycle optical pulses in marginal Fermi liquid and AdS/CFT correspondence Physica B: Condensed Matter, 2015, 478, P. 43–46.Yanyushkina N.N., Beloneko M.B., Lebedev N.G. Amplification of ultimately-short pulses in graphene in the presence of a high-frequency field. Optics and spectroscopy, 2010, 108 (5), 618–623.Yanyushkina N.N., Beloneko M.B., Lebedev N.G. Amplification of ultimately-short pulses in graphene in the presence of a high-frequency field. Optics and spectroscopy, 2010, 108 (5), 618–623.Kryuchkov S.V. Semiconductor superlattices in strong fields [in Russian], Peremena, Volgograd, 1992, 67 p.Kryuchkov S.V. Semiconductor superlattices in strong fields [in Russian], Peremena, Volgograd, 1992, 67 p.Konobeeva N.N., Belonenko M.B. Dynamics of Ultimately Short Electromagnetic Pulses in Silicene Waveguides. Technical physics letters, 2013, 39, P. 579–581.Konobeeva N.N., Belonenko M.B. Dynamics of Ultimately Short Electromagnetic Pulses in Silicene Waveguides. Technical physics letters, 2013, 39, P. 579–581.Benini F. Holography and condensed matter. Fortschr. Phys. 2012, 60, P. 810–821.Benini F. Holography and condensed matter. Fortschr. Phys. 2012, 60, P. 810–821.Basu P., Yang He J., Mukherjee A., Shieh H.-H. Holographic non-Fermi liquid in a background magnetic field. Phys. Rev. D., 2010, 82, P. 044036.Basu P., Yang He J., Mukherjee A., Shieh H.-H. Holographic non-Fermi liquid in a background magnetic field. Phys. Rev. D., 2010, 82, P. 044036.Bahvalov N.S. Numerical methods (analysis, algebra, ordinary differential equations). Nauka, Moscow, 1975. 632 p.Bahvalov N.S. Numerical methods (analysis, algebra, ordinary differential equations). Nauka, Moscow, 1975. 632 p.

The authors declare that there are no conflicts of interest present.