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Simulating quantum transport through mesoscopic, ring-shaped graphenestructures, we address various quantum coherence and interference phenomena.First, a perpendicular magnetic field, penetrating the graphene ring, givesrise to Aharonov-Bohm oscillations in the conductance as a function of themagnetic flux, on top of the universal conductance fluctuations. At very highfluxes the interference gets suppressed and quantum Hall edge channels develop.Second, applying an electrostatic potential to one of the ring arms, $nn'n$- or$npn$-junctions can be realized with particle transmission due to normaltunneling or Klein tunneling. In the latter case the Aharonov-Bohm oscillationsweaken for smooth barriers. Third, if potential disorder comes in to play, bothAharonov-Bohm and Klein tunneling effects rate down, up to the point whereparticle localization sets in.

Transport and quantum coherence in graphene rings: Aharonov-Bohm oscillations, Klein tunneling and particle localization