Properties of emission from a low-dimensional paraboloidal emitter

In this work, we analyze properties of cold field emission from a low-dimensional, paraboloidal emitter tip. We find that the entirety of the emitted current density (ECD) originates from a few high-energy, zero-angular-momentum subbands and from a region on the tip that is highly localized around the apex. In addition, Fowler-Nordheim (FN) plots for such emitters are non-linear and do not serve as a reliable tool for extracting emission parameters.