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Dynamic chaotization of the electronic subsystem in graphene superlattice
Institution:2. Volgograd State Technical University, V.I. Lenin Avenue, 28, Volgograd 400005, Russia;1. School of Material Science and Engineering, Changchun University of Science and Technology, Changchun, 130022, China;2. Changchun Normal University, Changchun, 130032, China
Abstract:d'Alembert equation written for the electromagnetic waves propagating in the graphene superlattice is discussed. The chaotic behavior of the electrons in graphene superlattice is studied by the Melnikov method. Dynamic chaos of electron in graphene superlattice is shown to appear for certain intervals of amplitudes of preset alternate current. The frequency dependence of the critical amplitude of alternate current above which would be a chaos is investigated.
Keywords:Graphene  Superlattice  Solitary electromagnetic wave  Dynamic chaos  Melnikov function
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