Analytical approximation for the surface potential in n-channel MOSFETs considering quantumMechanical effects

A physics-based analytical model for the surface potential in n-channel MOSFETs considering quantummechanical effects in the inversion region is presented. The model is continuous from the accumulation to strong inversion regions of operation. The results from the model show excellent agreement with the values obtained from a self-consistent solution of the Schrdinger and Poisson equations. The transconductance and currentvoltage characteristics of MOSFETs obtained using the surface-potential values calculated from our model also agree very well with those obtained from numerical methods and reported data. © 2006 IEEE.