Analytical study of vertical Hall (VH)-devices using an adapted conform mapping technique.

摘要

We adapt the conform mapping technique to the analytical calculation of two dimensional vertical Hall (VH)-devi-ces with five electrical contacts. With our new method the finite size of the two output current electrodes is taken into account. The mapping technique has been extended to VH-devices embeded in a well or in a guard-ring. Different cases, all based on a typical VH-device, have been studied to illustrate the potentialities of the method. We calculate the geometry factor, the series resistance as well as the current unbalanc between both output current electrodes. Such accurate alculations are especially required in order to understand the efficient linearization schemes recently developed for such VH-devices.