Zero-energy states in graphene quantum dot with wedge disclination

We show that wedge disclination affects the density of states for fermions that are electrostatically confined in graphene quantum dots. By considering a magnetic flux and solving the Dirac equation, we determine the eigenspinors. These are used for large arguments to derive an approximate scattering matrix, which allows us to get the density of states. Under various conditions, it is found that the density of states exhibits several resonance peaks. In particular, it is shown that the wedge disclination is able to change the amplitude, width, and positions of resonance peaks.