Physical modeling and prediction of the matching properties of MOSFETs

A physical model is presented that describes the matching properties of the MOS transistor. Fluctuations in channel doping, fixed oxide charge, gate doping, and oxide thickness are taken into account. A good agreement is demonstrated between the model and the mismatch in the drain current and transconductance of a 0.13 μm technology. Fluctuations in the channel doping are found to be the dominating effect. These affect the transistor through the threshold voltage directly, and through Coulomb scattering. A prediction is made concerning the matching properties of future technologies. It is expected that the fluctuations in the threshold voltage remain constant at A₀(ΔV_T)=3 mVμm, independently of the technology generation.