Abstract
Often real samples of graphene consist of islands of both monolayer and
bilayer graphene. Bound states in such hybrid quantum dots are
investigated for (i) a circular single-layer graphene quantum dot
surrounded by an infinite bilayer graphene sheet and (ii) a circular
bilayer graphene quantum dot surrounded by an infinite single-layer
graphene. Using the continuum model and applying zigzag boundary
conditions at the single-layer-bilayer graphene interface, we obtain
analytical results for the energy levels and the corresponding wave
spinors. Their dependence on perpendicular magnetic and electric fields
are studied for both types of quantum dots. The energy levels exhibit
characteristics of interface states, and we find anticrossings and
closing of the energy gap in the presence of a bias potential.
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