Quantum oscillation and wave packet revival in conical graphene structure

TL;DR

This paper analyzes quantum oscillations and wave packet revival phenomena in a graphene monolayer with a disclination, revealing effects of magnetic fields and gauge fields on electronic states and valley degeneracy.

Contribution

It provides analytical solutions for electron eigenstates in disclinated graphene, including effects of magnetic fields and valley degeneracy lifting.

Findings

Observation of Aharonov-Bohm oscillations

Disclination-induced valley degeneracy lifting

Conditions for gapped and gapless states

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.