Spin exchange interaction with tunable range between graphene quantum dots

Details Spin exchange interaction with tunable range between graphene quantum dots Spin exchange interaction with tunable range between graphene quantum dots

2010-11-12

arxiv.org/abs/1011.2966v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 3 figures

Scientific paper

We study the spin exchange between two electrons localized in separate quantum dots in graphene. The electronic states in the conduction band are coupled indirectly by tunneling to a common continuum of delocalized states in the valence band. As a model, we use a two-impurity Anderson Hamiltonian which we subsequently transform into an effective spin Hamiltonian by way of a two-stage Schrieffer-Wolff transformation. We then compare our result to that from a Coqblin-Schrieffer approach as well as to fourth order perturbation theory.

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