Hypersonic edge solitons in graphene under quantum Hall effect
Journal article, 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.


quantum Hall effect



surface waves


Anton Vikström

Chalmers, Applied Physics, Condensed Matter Theory

Leonid Gorelik

Chalmers, Applied Physics, Condensed Matter Theory

Europhysics Letters

0295-5075 (ISSN) 1286-4854 (eISSN)

Vol. 112 4 44004-

Areas of Advance

Nanoscience and Nanotechnology (2010-2017)

Subject Categories

Physical Sciences

Condensed Matter Physics


Basic sciences



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