Calibrated complex impedance and permittivity measurements with scanning microwave microscopy

摘要

We present a procedure for calibrated complex impedance measurements and dielectric quantification with scanning microwave microscopy. The calibration procedure works in situ directly on the substrate with the specimen of interest and does not require any specific calibration sample. In the workflow tip-sample approach curves are used to extract calibrated complex impedance values and to convert measured S_(11) reflection signals into sample capacitance and resistance images. The dielectric constant of thin dielectric SiO_2 films were determined from the capacitance images and approach curves using appropriate electrical tip-sample models and the ε_r value extracted at f = 19.81 GHz is in good agreement with the nominal value of ε_r ~ 4. The capacitive and resistive material properties of a doped Si semiconductor sample were studied at different doping densities and tip-sample bias voltages. Following a simple serial model the capacitance-voltage spectroscopy curves are clearly related to the semiconductor depletion zone while the resistivity is rising with falling dopant density from 20 Ω to 20 kΩ. The proposed procedure of calibrated complex impedance measurements is simple and fast and the accuracy of the results is not affected by varying stray capacitances. It works for nanoscale samples on either fully dielectric or highly conductive substrates at frequencies between 1 and 20 GHz.