A simplified method for quantum size effect analysis in submicron devices

The Wigner‐transformed Bloch equation is used to analyze the quantum size effects which occur in very small semiconductor devices. In this approach, instead of solving the Schrodinger equation, the diagonal elements of the density matrix are calculated directly. As a result, the eigenvalue problem is avoided, thereby greatly reducing computation time. A simple algorithm suitable for two‐dimensional device simulation including quantum size effects is also developed.