Abstract

We have found out that the band inversion in a silicene quantum dot (QD), in perpendicular magnetic B and electric fields, drastically depends on the strength of the magnetic field. We study the energy spectrum of the silicene QD where the electric field provides a tunable band gap Δ. Boundary conditions introduce chirality, so that negative and positive angular-momentum m zero Landau level (ZLL) edge states show a quite different behavior regarding the band-inversion mechanism underlying the topological insulator transition. We show that, whereas some ZLLs suffer band inversion at for any B > 0, other ZLLs only suffer band inversion above critical values of the magnetic field at nonzero values of the gap.

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