Shot noise in disordered graphene samples

One of the most promising applications for graphene is in the implementation of sensors, which benefit from the extremely high surface-to-volume ratio of a 2-dimensional material. In order to minimize the variance on the readout of such sensors, we need to reduce all sources of noise as much as possible. A noise contribution particularly relevant for samples with high aspect ratio (ratio of the width to the length) is shot noise, which is expected to have a very peculiar behavior as a function of the chemical potential, as predicted by Tworzidło et al. and, therefore, as a function of the voltage applied to a gate electrostatically coupled to the graphene sheet. We developed an approach, based on an envelope function representation, enabling the simulation of samples of realistic size.