Coherent conductance in an alternating dot: exact results

In this paper we have calculated the conductance of a periodic quantum dot attached to metallic leads, within the tight-binding (TB) model and in the ballistic regime. We have calculated the Green's function (GF), density of states (DOS) and the coherent transmission coefficient (TC) fully analytically for an alternating quantum dot (A-QD). The quasi-gap, bound states energies, the energy and dot-size dependence of the GF and conductance for the system are also derived. Finally, we show analytically the conductance can be switched between insulating (OFF) and conducting (ON) states by applying a gate voltage.