4.2.2 Results

Because of the operating principle of the MagFET and the vectorial nature of the Lorentz force full three-dimensional simulations are mandatory and enable a deep insight of the behavior of the sensor. Two-dimensional simulations cannot be utilized. Due to the lack of appropriate simulators MAGFETs are mostly described analytically in the literature [143,147] or by measurements. Besides, three-dimensional simulation with Minimos-NT can be used to investigate the dependence of the relative sensitivity on geometric parameters.

Fig. 4.9 shows the $ I_{\mathrm{D}}$- $ V_{\mathrm{DS}}$ characteristics for both drain currents for the case that no voltage has been applied. Thus, both drain currents are equal since the sizes of the drains are equal.

In case a magnetic field is applied different drain currents are obtained. Fig. 4.10 shows the $ I_{\mathrm{D}}$- $ V_{\mathrm{DS}}$ characteristics for both drain currents in the range of $ 3\,{\mathrm{V}} \leq
V_{\mathrm{DS}} \leq 5\,{\mathrm{V}}$. The magnetic field applied is $ {B}=0.05\,{\mathrm{T}}$. The figure shows a small differential current $ {\Delta}I$ due to the low magnetic field applied. The differential current $ {\Delta}I$ is shown in Fig. 4.11. One can clearly see that $ {\Delta}I$ increases with increasing drain voltage.

Figure 4.9: Result without magnetic field.
\begin{figure}\vspace*{0.4cm}
\begin{center}
\psfig{file=figures/magfet/magfetNoField_Id12_xcrv_rot, width=11.5cm}\end{center}\vspace*{-0.4cm}
\end{figure}

Figure 4.10: Resulting currents with $ {B}=0.05{\hspace {.35ex}}{\textrm {T}}$.
\begin{figure}\vspace*{0.4cm}
\begin{center}
\psfig{file=figures/magfet/magfetWithField_Id12_xcrv_rot, width=11.5cm}\end{center}\vspace*{-0.4cm}
\end{figure}

Figure 4.11: $ {\Delta }I_{{\textrm {D}}}$ with $ B=0.05{\hspace {.35ex}}{\textrm {T}}$.
\begin{figure}\vspace*{0.4cm}
\begin{center}
\psfig{file=figures/magfet/magfetWithField_Delta_xcrv_rot, width=11.5cm}\end{center}\vspace*{-0.4cm}
\end{figure}

Robert Klima 2003-02-06