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\section{Introduction}  Resonant Tunneling Diodes (RTDs) are two terminal electronic devices in which the transport is achieved by the electrons tunneling through a resonant state in a double potential barrier setup. This is one of the first devices to take advantage of the quantum mechanical electron-wave property\cite{Chang_1991}. Since the improvement in crystal growth and nano-fabrication methods, RTDs has been of great interest both as a theoretical study of quantum transport physics and functional quantum devices in the laboratories. The specific property of interest is the region of negative resistance it shows under certain conditions, which is not an intuitive classical result. Although this can be explained