Electrostatic quantum dot confinement in phosphorene

Abstract

We consider states localized by electrostatic potentials in phosphorene using an atomistic tight binding approach. From the results of the tight-binding calculations of the confined states we extract effective masses for the conduction band electrons in the armchair and zigzag directions. The masses derived in this way are used for a simple single-band effective mass model which, as we find, reproduces very well the tight-binding energy spectrum in external magnetic field, the probability densities and the interaction effects. Both methods produce Wigner crystallization for the ground-state of the electron pair with the single-electron islands separated in the armchair direction already for small quantum dots.

References in corpus (12)

• Strain engineered direct-indirect band gap transition and its mechanism in 2D phosphorene
• Tunable optical properties of multilayers black phosphorus thin films
• Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus
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• Electro-optical properties of phosphorene quantum dots
• Exciton binding energies and luminescence of phosphorene under pressure
• The electronic origin of shear-induced direct to indirect gap transition and anisotropy diminution in phosphorene
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• Electric- and magnetic-field dependence of the electronic and optical properties of phosphorene quantum dots
• Wigner localization in a graphene quantum dot with a mass gap

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• Insights into electronic and transport properties of phosphorene nanorings in two perpendicular directions: Effects of circular and elliptical external potentials
• Aharonov-Bohm oscillations in phosphorene quantum rings: mass anisotropy compensation by confinement potential
• Exciton localization on p-i-n junctions in two-dimensional crystals
• Scanning gate microscopy probing of anisotropic electron flow in a two dimensional electron gas at the (110) ${\mathrm{LaAlO}}_3/{\mathrm{SrTiO}}_3$ interface: A theoretical investigation