Berlin 2018 – scientific programme
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O: Fachverband Oberflächenphysik
O 6: Graphene: Electronic properties, structure and substrate interaction I (joint session O/TT)
O 6.7: Talk
Monday, March 12, 2018, 12:00–12:15, MA 043
Can the Coulomb interaction be added to the Dirac-Weyl equation of graphene? — •Fabian Rost and Sam Shallcross — Theoretische Festkörperphysik, Universität Erlangen-Nürnberg, Staudtstr. 7B2, 91058 Erlangen, Germany
On the basis of an exact operator equivalence between a lattice tight binding model and a continuum description H(r,p) [1], we address the question of the required form the interaction potential Veff(r,r′) should take in the continuum description in order to maintain operator equivalence with the tight-binding Hamiltonian in the presence of an interaction potential V(r,r′). To lowest order we find the natural answer: that Veff(r,r′) = V(r,r′) but also that this is sufficient only in the case that V(r,r′) does not change on the scale of the lattice constant. Taking the example of graphene we derive the corrections to the lowest order result for the case of the Coulomb interaction.
[1] N. Ray et al., arXiv preprint arXiv:1607.00920, 2016