Energy levels of ABC-stacked trilayer graphene quantum dots with infinite-mass boundary conditions

M. Mirzakhani, M. Zarenia, D. R. Da Costa, S. A. Ketabi, F. M. Peeters

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Using the continuum model, we investigate the confined states and the corresponding wave functions of ABC-stacked trilayer graphene (TLG) quantum dots (QDs). First, a general infinite-mass boundary condition is derived and applied to calculate the electron and hole energy levels of a circular QD in both the absence and presence of a perpendicular magnetic field. Our analytical results for the energy spectra agree with those obtained by using the tight-binding model, where a TLG QD is surrounded by a staggered potential. Our findings show that (i) the energy spectrum exhibits intervalley symmetry EKe(m)=-EK′h(m) for the electron (e) and hole (h) states, where m is the angular momentum quantum number, (ii) the zero-energy Landau level (LL) is formed by the magnetic states with m≤0 for both Dirac valleys, that is different from monolayer and bilayer graphene QD with infinite-mass potential in which only one of the cones contributes, and (iii) groups of three quantum Hall edge states in the tight-binding magnetic spectrum approach the zero LL, which results from the layer symmetry in TLG QDs.

Original languageEnglish (US)
Article number165423
JournalPhysical Review B
Issue number16
StatePublished - Oct 19 2016

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© 2016 American Physical Society.

Copyright 2019 Elsevier B.V., All rights reserved.


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