English

Probing the zero energy shell wave functions of triangular graphene quantum dots with broken sublattice symmetry using a localized impurity

Mesoscale and Nanoscale Physics 2024-06-05 v1 Strongly Correlated Electrons

Abstract

We present here a method of probing the wave functions of a degenerate shell in a triangular graphene quantum dot, triangulene, using a localized substitutional impurity. We demonstrate its applicability to the example of aza-triangulenes. Using the analytical solution for degenerate states of an all-carbon triangulene as a basis for a triangulene containing a nitrogen impurity, we predict the structure of the zero energy shell in the presence of this impurity. We show that the impurity allows probing of the wave functions of a degenerate shell on a carbon site where it is located. We confirm our predictions by a comparison with the tight-binding and ab-initio calculation as well as with experiment.

Keywords

Cite

@article{arxiv.2406.02364,
  title  = {Probing the zero energy shell wave functions of triangular graphene quantum dots with broken sublattice symmetry using a localized impurity},
  author = {Alina Wania Rodrigues and Daniel Miravet and James Lawrence and Jiong Lu and Pawel Hawrylak},
  journal= {arXiv preprint arXiv:2406.02364},
  year   = {2024}
}