Artifical atoms in interacting graphene quantum dots

Details Artifical atoms in interacting graphene quantum dots Artifical atoms in interacting graphene quantum dots

2009-05-22

arxiv.org/abs/0905.3667v1

Phys. Rev. B 80, 161402(R) (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages, 2 figures

Scientific paper

10.1103/PhysRevB.80.161402

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.

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