Electron-number statistics and shot-noise suppression by Coulomb correlation in nondegenerate ballistic transport

Within a Monte Carlo simulation, we investigate the statistical properties of an electron flow injected with a Poissonian distribution and transmitted under ballistic regime in the presence of long-range Coulomb interaction. Electrons are shown to exhibit a motional squeezing which tends to space them more regularly rather than strictly at random, and to evidence a sub-Poissonian statistics with a substantially reduced Fano factor $F_n\ll 1$. The temporal (anti)correlation among carriers is demonstrated to be a collective effect which persists over the transit of several successive electrons, and results in a considerable (more than one order of magnitude) shot-noise suppression.