## Simple Model of Nonlinear Spin Waves in Graphene Structures

**Authors:**Kulyabov D.S., Lovetskiy K.P., Le A.N.**Issue:**Vol 26, No 3 (2018)**Pages:**244-251**Section:**Mathematical Modeling**URL:**http://journals.rudn.ru/miph/article/view/18989**DOI:**http://dx.doi.org/10.22363/2312-9735-2018-26-3-244-251

#### Abstract

### D S Kulyabov

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

Email: kulyabov_ds@rudn.university

6 Miklukho-Maklaya str., Moscow, 117198, Russian Federation; 6 Joliot-Curie, Dubna, Moscow region, 141980, Russian Federation 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)

### K P Lovetskiy

Peoples’ Friendship University of Russia (RUDN University)
Email: lovetskiy_kp@rudn.university

6 Miklukho-Maklaya str., Moscow, 117198, Russian Federation 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)

### Anh Nhat Le

Peoples’ Friendship University of Russia (RUDN University)
Email: leanhnhat@tuyenquang.edu.vn

6 Miklukho-Maklaya str., Moscow, 117198, Russian Federation PhD student of Department of Applied Probability and Informatics of Peoples’ Friendship University of Russia (RUDN University)

- P. R. Wallace, The Band Theory of Graphite, Physical Review 71 (1947) 622-634.
- 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.
- 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.
- N. M. R. Peres, Electronic Properties of Disordered Two-Dimensional Carbon, Physical Review B 73 (2006) 12541. doi: 10.1103/PhysRevB.73.125411.
- 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.
- 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.
- 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.
- 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.
- T. Brauner, Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems, Symmetry 2 (2010) 609-657. doi: 10.3390/sym2020609.
- H. Watanabe, H. Murayama, Unified Description of Non-Relativistic NambuGoldstone Bosons, Physical Review Letters 108 (2012) 25160.

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