Year: 2020
Type: article
Abstract: We consider states localized by electrostatic potentials in phosphorene using an atomistic tight-binding approach. From the tight-binding spectra of states confined in a parabolic potential we extract effective masses for conduction band electrons moving along the armchair and zigzag crystal directions by a fit to the harmonic oscillator spectrum. 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 spectra in an external magnetic field, the confined probability densities, and the interaction effects. We study the confined states in the conduction band and find that both methods produce Wigner crystallization with separated single-electron islands already for small quantum dots. The effective-mass model works with slightly worse precision for confined states of the valence band. The continuum approach deviates considerably from the tight-binding model only in the limit of extremely strong lateral confinement.
Author: Bartłomiej Szafran
Institution: AGH University of Krakow
Language: English
Subfield: Materials Chemistry
Field: Materials Science
Domain: Physical Sciences
Open Access status: green
Funder: Narodowe Centrum Nauki
Award: G6643577157
OpenAlex ID: W3012484741