Nonlinear Dirac equation for graphene
A. A. Gladkikhab, G. G. Malinetskiiab
a Keldysh Institute of Applied Mathematics (Russian Academy of Sciences)
b Moscow Intitute of Physics and Technology (National Research University)
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.
nonlinear Dirac equation, graphene, numerical simulation.
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A. A. Gladkikh, G. G. Malinetskii, “Nonlinear Dirac equation for graphene”, Matem. Mod., 32:8 (2020), 43–56
Citation in format AMSBIB
\by A.~A.~Gladkikh, G.~G.~Malinetskii
\paper Nonlinear Dirac equation for graphene
\jour Matem. Mod.
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