Abstract
We consider a graphene sheet with a zigzag edge subject to a perpendicular magnetic field and investigate the evolution of in-plane elastic edge deformation. In such a system, resonant electronic edge states generate a strong Landau damping of low-amplitude acoustic edge waves with specific wave vectors. We study the propagation of a short hypersonic edge pulse in the case of a strong interaction with resonant electronic edge states. Using the resonance approximation, we derive the system of equations describing the evolution of the pulse and show that self-induced transparency can appear under certain conditions. As a consequence, pulses with particular profiles can travel without attenuation at a velocity different from that of sound.
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