Spectral element method for the schrödinger-poisson system

The development of a fast spectral element method (SEM) with exponential accuracy for the self-consistent solution of the Schrödinger-Poisson system for the simulation of semiconductor nanodevices was presented. Gauss-Lobatto-Legendre polynomials were used to represent the unknown fields Schrödinger and Poisson equations. The spectral element method was first applied on an infinite quantum well under an external bias to solve the Schrödinger equation. It was observed that the spectral element method had an exponential accuracy. while the finite-difference method only had a 2nd order accuracy.

Duke Scholars

Author Hisham Z. Massoud Electrical and Computer Engineering