Electrostatic quantum dots in silicene

We study electrostatic quantum dot confinement for charge carriers in silicene. The confinement is formed by vertical electric field surrounding the quantum dot area. The resulting energy gap in the outside of the quantum dot traps the carriers within, and the difference of electrostatic potentials on the buckled silicene sublattices produces nonzero carrier masses outside the quantum dot. We study the electrostatic confinement defined inside a silicene flake with both the atomistic tight-binding approach as well as with the continuum approximation for a circularly symmetric electrostatic potential. We find localization of the states within the quantum dot and their decoupling from the edge that makes the spectrum of the localized states independent of the crystal termination. For an armchair edge of the flake removal of the intervalley scattering by the electrostatic confinement is found.