Coupling of two Dirac particles
Mesoscale and Nanoscale Physics
2013-07-30 v1 Quantum Physics
Abstract
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.
Cite
@article{arxiv.1302.4505,
title = {Coupling of two Dirac particles},
author = {O. L. Berman and R. Ya. Kezerashvili and K. Ziegler},
journal= {arXiv preprint arXiv:1302.4505},
year = {2013}
}
Comments
12 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:1110.6744