Nanogap Diode Current Using Shape Factor Methods

Field emission from "nano diodes" encounter strong deviations from the tunneling barrier presupposed in Fowler Nordheim theory. Modifications to the emission barrier are modeled using a hyperbolic geometry to find trajectories along which Gamow factor is found; a quadratic equivalent potential is determined, and a shape factor method is used to evaluate the total current from a protrusion or wedge geometry.