Abstract
We consider the Maxwell equations for the electromagnetic-field propagation in a system of graphene planes with Anderson impurities. A phenomenological equation is obtained in the form of an analog of the classical 1 + 1-dimensional sine-Gordon equation. Electrons are considered within the quantum formalism taking into account the dispersion-law variations in the presence of an impurity subsystem. The phenomenological equation is analyzed numerically. It was found that the formation of a forbidden band in the graphene spectrum influenced the propagation of ultrashort optical pulses.
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Belonenko, M.B., Lebedev, N.G. & Tuzalina, O.Y. Electromagnetic solitons in a system of graphene planes with Anderson impurities. J Russ Laser Res 30, 101–108 (2009). https://doi.org/10.1007/s10946-009-9069-y
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DOI: https://doi.org/10.1007/s10946-009-9069-y