English

Artifical atoms in interacting graphene quantum dots

Mesoscale and Nanoscale Physics 2009-10-08 v1 Strongly Correlated Electrons

Abstract

We describe the theory of few Coulomb-correlated electrons in a magnetic quantum dot formed in graphene. While the corresponding nonrelativistic (Schr\"odinger) problem is well understood, a naive generalization to graphene's "relativistic" (Dirac-Weyl) spectrum encounters divergencies and is ill-defined. We employ Sucher's projection formalism to overcome these problems. Exact diagonalization results for the two-electron quantum dot, i.e., the artificial helium atom in graphene, are presented.

Keywords

Cite

@article{arxiv.0905.3667,
  title  = {Artifical atoms in interacting graphene quantum dots},
  author = {Wolfgang Häusler and Reinhold Egger},
  journal= {arXiv preprint arXiv:0905.3667},
  year   = {2009}
}

Comments

4+ pages, 2 figures

R2 v1 2026-06-21T13:04:59.232Z