Simple Model of Nonlinear Spin Waves in Graphene Structures

Мұқаба

Дәйексөз келтіру

Толық мәтін

Аннотация

A series of theoretical and experimental works is known which investigated the magnetic properties of graphene structures. This is due, among other things, to the prospects of using graphene as a material for the needs of the future nanoelectronics and spintronics. In particular, it is known about the presence of ferromagnetic properties at temperatures up to 200 C and above in a single-layer graphene films that are free from impurities. Previously there was proposed a quantum field theoretical model describing the possible mechanism of ferromagnetism in graphene as a result of spontaneous breaking of spin symmetry of the surface density of valence electrons. The possible spatial configurations of the localized spin density were described. In this paper we investigate such spatially localized nonlinear spin configurations of the valence electron density on the graphene surface such as kinks, and their interactions, as well as quasibound metastable states of the interacting kinks and antikinks, that are breathers. The spectrum of such breathers is investigated. It is shown that under certain conditions, this spectrum has a discrete sector, which, in turn, allows us to speak about the possibility of coherent quantum generation of spin waves in graphene structures, which is important in terms of practical applications in nanoelectronics and spintronics.

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Авторлар туралы

D Kulyabov

Peoples’ Friendship University of Russia (RUDN University); Laboratory of Information Technologies Joint Institute for Nuclear Research

Хат алмасуға жауапты Автор.
Email: kulyabov_ds@rudn.university
Associate Professor, Doctor of Sciences in Physics and Mathematics, Associate Professor of Department of Applied Probability and Informatics of Peoples’ Friendship University of Russia (RUDN University) 6 Miklukho-Maklaya str., Moscow, 117198, Russian Federation; 6 Joliot-Curie, Dubna, Moscow region, 141980, Russian Federation

K Lovetskiy

Peoples’ Friendship University of Russia (RUDN University)

Email: lovetskiy_kp@rudn.university
Associate Professor, Candidate of Sciences in Physics and Mathematics, Associate Professor of Department of Applied Probability and Informatics of Peoples’ Friendship University of Russia (RUDN University) 6 Miklukho-Maklaya str., Moscow, 117198, Russian Federation

Anh Le

Peoples’ Friendship University of Russia (RUDN University)

Email: leanhnhat@tuyenquang.edu.vn
PhD student of Department of Applied Probability and Informatics of Peoples’ Friendship University of Russia (RUDN University) 6 Miklukho-Maklaya str., Moscow, 117198, Russian Federation

Әдебиет тізімі

  1. P. R. Wallace, The Band Theory of Graphite, Physical Review 71 (1947) 622-634.
  2. D. V. Kolesnikov, V. A. Osipov, The Continuum Gauge Field-Theory Model for Low-Energy Electronic States of Icosahedral Fullerenes, European Physical Journal B 49 (2006) 465. arXiv:cond-mat/0510636.
  3. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, A. A. Firsov, Two-Dimensional Gas of Massless Dirac Fermions in Graphene, Nature 438 (2005) 197-200. doi: 10.1038/nature04233.
  4. N. M. R. Peres, Electronic Properties of Disordered Two-Dimensional Carbon, Physical Review B 73 (2006) 12541. doi: 10.1103/PhysRevB.73.125411.
  5. Y. Wang, Y. Huang, Y. Song, Z. X., Y. Ma, J. Liang, Y. Chen, Room-Temperature Ferromagnetism of Graphene, Nano Lett. 9 (2009) 220-224.
  6. N. Tombros, C. Jozsa, M. Popinciuc, H. T. Jonkman, B. J. van Wees, Electronic Spin Transport and Spin Precession in Single Graphene Layers at Room Temperature, Nature 448 (2007) 571-574.
  7. D. D. Grachev, Y. P. Rybakov, L. A. Sevastyanov, E. F. Sheka, Ferromagnetism in graphene and fullerene structures. theory, modelling, experiment, Bulletin of Peoples’ Friendship University of Russia. Series Mathematics, Information Sciences, Physics (1) (2010) 22-27.
  8. D. D. Grachev, L. A. Sevastyanov, The Quantum Field Model of the Ferromagnetism in Graphene Films, Nanostructures, Mathematical Physics and Modelling 4 (2011) 5-15.
  9. T. Brauner, Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems, Symmetry 2 (2010) 609-657. doi: 10.3390/sym2020609.
  10. H. Watanabe, H. Murayama, Unified Description of Non-Relativistic NambuGoldstone Bosons, Physical Review Letters 108 (2012) 25160.

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