Transmission through quantum networks

We use a simple formalism to calculate the conductance of any quantum netwo rk made of one-dimensional quantum wires. We apply this method to analyze, for two periodic systems, the modulation of this conductance with respect t o the magnetic field. We also study the influence of an elastic disorder on the periodicity of the Aharanov-Bohm oscillations, and we show that a rece ntly proposed localization mechanism induced by the magnetic field resists such a perturbation. Finally, we discuss the relevance of this approach for the understanding of a recent experiment on GaAs/GaAlAs networks.