Scattering resonances in 1D coherent transport through a correlated quantum dot: An application of the few-particle quantum transmitting boundary method

We present a method for the calculation of thescattering states of a N + 1th-particle coherently interactingwith N correlated particles confined in a nanostructureand placed within an open domain. The method is based on ageneralization of the quantum transmitting boundary method[C. Lent and D. Kirkner, J. App. Phys. 67, 6353 (1990)].The antisymmetry conditions of the N + 1-identical particlescurrent-carrying state results from a proper choice ofthe boundary conditions. As an example which is relevant tocoherent electronics, we apply the method to compute the exacttransmission functions and phases of an electron crossinga 1D quantum dot with zero, one or two bound electrons.