Isolated and hybrid bilayer graphene quantum rings

Using the continuum model, we investigate electronic properties of two types bilayer graphene (BLG) quantum ring (QR) geometries: (i) An isolated BLG QR and (ii) a monolayer (MLG) with put on top an infinite sheet (hybrid QR). Solving Dirac-Weyl equation in presence perpendicular magnetic field applying mass boundary condition at boundaries, obtain analytical results for energy levels corresponding wave spinors both structures. In case QR, observe sizable magnetically tunable band gap which agrees tight-binding transport simulations. Our also show intervalley symmetry ${E}_{e}^{K}(m)=\ensuremath{-}{E}_{h}^{{K}^{\ensuremath{'}}}(m)$ between electron (e) hole (h) states ($m$ is angular momentum number) spectrum QR. The interface hybrid modifies drastically as compared that Its are from MLG dot to Landau varied. predictions can be verified experimentally using different techniques such by magnetotransport measurements.