Hypersonic edge solitons in graphene under quantum Hall effect
Department of Applied Physics, Chalmers University of Technology - Kemigården 1, 412 96 Göteborg, Sweden
Received: 11 September 2015
Accepted: 18 November 2015
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.
PACS: 43.35.+d – Ultrasonics, quantum acoustics, and physical effects of sound / 73.43.Lp – Collective excitations / 81.05.ue – Graphene
© EPLA, 2015