Sound waves induce Volkov-like states, band structure and collimation effect in graphene. (18th December 2015)

• Record Type: Journal Article
• Authors: Oliva-Leyva, M; Naumis, Gerardo G
• Is Part Of: Journal of physics. Volume 28:Number 2(2016)
• Publication Date: 2015-12-18
• Subjects: graphene -- time-dependent deformation -- pseudoelectromagnetic field -- wave-particle interaction -- Dirac equation; Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/0953-8984/28/2/025301
• Languages: English
• ISSNs: 0953-8984

Abstract

Abstract: We find exact states of graphene quasiparticles under a time-dependent deformation (sound wave), whose propagation velocity is smaller than the Fermi velocity. To solve the corresponding effective Dirac equation, we adapt the Volkov-like solutions for relativistic fermions in a medium under a plane electromagnetic wave. The corresponding electron-deformation quasiparticle spectrum is determined by the solutions of a Mathieu equation resulting in band tongues warped in the surface of the Dirac cones. This leads to a collimation effect of electron conduction due to strain waves.