A Madelung Fluid Based Density Gradient Model for Large Barrier Tunneling Calculations

摘要

A modified density gradient model is derived for the carrier density inside a large potential barrier from the Madelung-Bohm fluid theory of quantum mechanics (QM) and the WKB approximation. The derived model is used with simple additional assumptions on the nature of the inversion layer and dissipationless transport, and shows an excellent match to experimental tunneling current data. Though the present derivation is one-dimensional, the model shows promise for generalization to 2-D and 3-D.