O. L. Berman, R. Ya. Kezerashvili, K. Ziegler
Published 2013-02-19Version 1
A study of the formation of excitons as a problem of two Dirac particles in a gapped graphene layer and in two gapped graphene layers separated by a dielectric is presented. In the low energy limit the separation of the center-of-mass and relative motions is obtained. Analytical solutions for the wave function and energy dispersion for both cases when electron and hole interact via a Coulomb potential are found. It is shown that the energy spectrum and the effective exciton mass are functions of the energy gaps as well as interlayer separation in case of two layer gapped graphene.
Comments: 12 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:1110.6744
Journal: Physical Review A 87, 042513 (2013); Presented at the 20th International IUPAP Conference on Few-Body Problems in Physics, Poster PS 58,
Energy Gaps in Graphene Nanoribbons
Toward a new theory of the fractional quantum Hall effect: The many-body spectra and energy gaps at $ν<1$
Semiclassical approach for excitonic spectrum of Coulomb coupling between two Dirac particles
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