An Adjusted Constant-Current Method to Determine Saturated and Linear Mode Threshold Voltage of MOSFETs

Abstract

The constant-current (CC) method uses a current criterion to determine the threshold voltage ( <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">V</i> <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">TH</sub> ) of metal-oxide-semiconductor (MOS) field-effect transistors. We show that using the same current criterion in both saturation and linear modes leads to inconsistent results and incorrect interpretation of effects, such as drain-induced barrier lowering in advanced CMOS halo-implanted devices. The generalized adjusted CC method is based on the theory of the charge-based MOS transistor model. It introduces an adjusted current criterion, depending on <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">V</i> <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">DS</sub> , allowing to coherently determine <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">V</i> <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">TH</sub> for the entire range of <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">V</i> <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">DS</sub> from linear operation to saturation. The method uses commonly available <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">I</i> <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">D</sub> versus <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">V</i> <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">G</sub> data with focus on moderate inversion. The method is validated with respect to the ideal surface potential model, and its suitability is demonstrated with technology-computer-aided-design data from a 65-nm CMOS technology and measured data from a 90-nm CMOS technology. Comparison with other widely used threshold voltage extraction methods is provided.