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A planar quantum-well device made of a gapless graphene nanoribbon with edgesin contact with gapped graphene sheets is examined. The size-quantizationspectrum of charge carriers in an asymmetric quantum well is shown to exhibit apseudospin splitting. Interface states of a new type arise from the crossing ofdispersion curves of gapless and gapped graphene materials. The excitonspectrum is calculated for a planar graphene quantum well. The effect of anexternal electric field on the exciton spectrum is analyzed.

Size Quantization in Planar Graphene-Based Heterostructures: Pseudospin Splitting, Interface States, and Excitons