We investigated magnetoresistance of p-type Ge-on-Si metal-oxide-semiconductor field-effect transistors in order to determine the hole mobility μ as a function of the gate polarization (V_{G}). Measurements were carried out at 4.2 K and magnetic fields up to 10 T. The signal measured was proportional to the derivative of the transistor resistance with respect to V_{G}. To determine the hole mobility we developed a method to treat the measured signal which is based on a numerical solution of a differential equation resulting from the theoretical description of the experimental procedure. As a result, we obtained a non-monotonic μ(V_{G}) dependence which is a characteristic feature of the carrier transport in gated two-dimensional structures.
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