▎ 摘 要
Circularly symmetric graphene nanostructures exist in the form of graphene rings, dots, and antidots. For realistic structure sizes, atomistic studies typically become prohibitively demanding. Analytical results, however, can be found within the Dirac-equation approach even in the presence of a perpendicular magnetic field. We model nanostructure confinement by using a circularly symmetric mass term and analyze the influence of geometry, magnetic field, and mass term on the eigenstates. Excellent agreement with atomistic models for small structures is demonstrated. In addition, we find good agreement with recent magneto-transport measurements for large graphene rings and investigate their valley-dependent density of states.