A Physically Based Analytical Model to Predict Quantized Eigen Energies and Wave Functions Incorporating Penetration Effect

摘要

We propose a physically based analytical compact model to calculate Eigenenergies and Wave functions which incorporates penetration effect. The model isapplicable for a quantum well structure that frequently appears in modernnano-scale devices. This model is equally applicable for both silicon and III-Vdevices. Unlike other models already available in the literature, our model canaccurately predict all the eigen energies without the inclusion of any fittingparameters. The validity of our model has been checked with numericalsimulations and the results show significantly better agreement compared to theavailable methods.