Quantum oscillation and wave packet revival in conical graphene structure

Abstract

We present analytical expressions for the eigenstates and eigenvalues of electrons confined in a graphene monolayer in the presence of a disclination. The calculations are performed in the continuum limit approximation in the vicinity of the Dirac points, solving Dirac equation by freezing out the carrier radial motion. We include the effect of an external magnetic field and show the appearence of Aharonov-Bohm oscillation and find out the conditions of gapped and gapless states in the spectrum. We show that the gauge field due to a disclination lifts the orbital degeneracy originating from the existence of two valleys. The broken valley degeneracy has a clear signature on quantum oscillations and wave packet dynamics.

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Cited by in corpus (4)

• Geometrical optics limit of phonon transport in a channel of disclinations
• Propagation of acoustic waves in a von-Kármán vortex street like configuration of disclinations
• Spin texture of an irradiated warped topological insulator surface
• Electronic Properties of Graphene Quantum Ring with Wedge Disclination