W. Zhu, M. L. Liang, Q. W. Shi, Z. F. Wang, J. Chen, J. G. Hou
Published 2008-04-07Version 1
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.
Comments: 5 page, 4 figures
The Electronic Structure of Few-Layer Graphene: Probing the Evolution from a 2-Dimensional to a 3-Dimensional Material
Bound electron states in the monolayer graphene with short-range impurities
Electronic structure of interfaces between hexagonal and rhombohedral graphite
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