Solid-State Electronics, Vol.61, No.1, 93-95, 2011
Analytic expression for the Fowler-Nordheim V-I characteristic including the series resistance effect
It is shown in this communication that the Fowler-Nordheim (FN) tunneling expression for the current-voltage (I-V) characteristic can be analytically inverted so that an exact expression for the voltage-current (V-I) characteristic can be obtained. The solution of the resulting implicit equation is found using the Lambert W function, i.e. the solution of the transcendental equation we(w) = x. The reported expressions are supported by experimental I-V curves measured in thin (approximate to 5 nm) SiO2 films in MOS capacitors. The analysis includes the case of a tunneling oxide with a large series resistance. For practical purposes, a closed-form expression for W based on a Pade-type approximation is also provided. (C) 2011 Elsevier Ltd. All rights reserved.