title: Sound waves induce Volkov-like states, band structure and collimation effect in graphene.
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.
authors.affiliation: Depto. de Física-Química, Instituto de Física, Universidad Nacional Autónoma de México (UNAM). Apdo. Postal 20-364, 01000, México D.F. 01000, Mexico.
authors.forename: M
authors.initials: M
authors.lastname: Oliva-Leyva
authors.forename: Gerardo G
authors.initials: GG
authors.lastname: Naumis