English

Electrostatic quantum dot confinement in phosphorene

Mesoscale and Nanoscale Physics 2020-06-25 v2

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.

Keywords

Cite

@article{arxiv.2003.06677,
  title  = {Electrostatic quantum dot confinement in phosphorene},
  author = {B. Szafran},
  journal= {arXiv preprint arXiv:2003.06677},
  year   = {2020}
}
R2 v1 2026-06-23T14:14:52.674Z