Geodesic
Nonlinear Dirac equation for graphene
Matematičeskoe modelirovanie, Tome 32 (2020) no. 8, pp. 43-56

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a nonlinear Dirac equation in order to describe collective electronic phenomena. In comparison to the other papers on the given topic the interaction term includes the sum of the spinor components’ squares instead of their difference. We investigate the properties of the obtained nonlinear equation, pretending to describe hightemperature ferromgnetism without assumptions about the key role of defects. The numerical simulation was done for simple boundary and initial conditions with Lax–Friedrichs scheme.
Keywords: nonlinear Dirac equation, numerical simulation.
Mots-clés : graphene 
@article{MM_2020_32_8_a3,
     author = {A. A. Gladkikh and G. G. Malinetskii},
     title = {Nonlinear {Dirac} equation for graphene},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {43--56},
     publisher = {mathdoc},
     volume = {32},
     number = {8},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2020_32_8_a3/}
}
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A. A. Gladkikh; G. G. Malinetskii. Nonlinear Dirac equation for graphene. Matematičeskoe modelirovanie, Tome 32 (2020) no. 8, pp. 43-56. http://geodesic.mathdoc.fr/item/MM_2020_32_8_a3/