Quantum dots in AA-stacked bilayer graphene

H. S. Qasem, H. M. Abdullah, M. A. Shukri, H. Bahlouli, Udo Schwingenschlögl

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


While electrostatic confinement in single-layer graphene and AA-stacked bilayer graphene is precluded by Klein tunneling and the gapless energy spectrum, we theoretically show that a circular domain wall that separates domains of single-layer graphene and AA-stacked bilayer graphene can provide bound states. Solving the Dirac-Weyl equation in the presence of a global mass potential and a local electrostatic potential, we obtain the energy spectrum of these states and the corresponding radial probability densities. Depending on the mass potential profile, regular bound states can exist inside the quantum dot and topological bound states at the domain wall. Controlling the electrostatic potential inside the quantum dot enables the simultaneous presence of both types of states. We find that the number of nodes of the radial wave function of the regular bound states inside the quantum dot is equal to the radial quantum number. The energy spectra of the bound states display anticrossings, reflecting coupling of electron- A nd holelike states.
Original languageEnglish (US)
JournalPhysical Review B
Issue number7
StatePublished - Aug 13 2020

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: H.B. acknowledges the support of the Saudi Center for Theoretical Physics (SCTP) and of KFUPM under physics research group Project No. RG181001. The research reported in this publication was supported by funding from King Abdullah University of Science and Technology (KAUST).


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