Electronic Structure in Gapped Graphene with Coulomb Potential

Details Electronic Structure in Gapped Graphene with Coulomb Potential Electronic Structure in Gapped Graphene with Coulomb Potential

2008-04-07

arxiv.org/abs/0804.0984v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 page, 4 figures

Scientific paper

In this paper, we numerically study the bound electron states induced by long range Coulomb impurity in gapped graphene and the quasi-bound states in supercritical region based on the lattice model. We present a detailed comparison between our numerical simulations and the prediction of the continuum model which is described by the Dirac equation in (2+1)-dimensional Quantum Electrodynamics (QED). We also use the Fano's formalism to investigate the quasi-bound state development and design an accessible experiments to test the decay of the supercritical vacuum in the gapped graphene.

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