Effect of electron-electron interactions on the Klein paradox in graphene-based double-barrier structures

The effects of Coulomb interactions on the transport properties of the relativistic electron through graphene-based double-barrier structures have been investigated. A self-consistent Green's function method has been developed by solving numerically the Dyson equation in the Hartree-Fock approximation. The transmission probability, conductivity, shot noise, and Fano factor through the structures have been calculated and analyzed. It is shown that Klein tunneling is suppressed strongly by taking into account the electron-electron interaction. In contrast, the Fano factor shows abrupt increase. The shot noise is either improved or suppressed, which depends on the energy of the incident electron and the strength of the electron-electron interaction. The physical originations for these phenomena have been discussed.