Temperature analysis of the Gaussian distribution modeling the barrier height inhomogeneity in the Tungsten/4H-SiC Schottky diode

The temperature dependence of the electrical properties of the Schottky barrier contact W/4H-SiC is studied in term of the Werner’s model assuming a Gaussian distribution of the barrier height to model the inhomogeneity of the Schottky interface. The Gaussian distribution is characterized by the parameters ϕ¯B\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\overline{\phi }_{B}$$\end{document} as a mean barrier height, ρ2, ρ3 as coefficients quantifying the barrier deformation and σs as a standard deviation. The effect of the series resistance Rs and its relation with the standard deviation σs is also reported. A vertical optimization process is used to extract simultaneously all the parameters cited above as function of temperature from the forward current–voltage (I-V) characteristics at temperatures ranging from 303 to 448 K. The temperature dependence of the characterized parameters of the W/4H-SiC Schottky structure enables us to quantify the inhomogeneity state of the Schottky barrier height prevailing at the MS interface in terms of those extracted parameters.