Efficient Wigner function simulation for nanowire MOSFETs and comparison to Quantum Drift-Diffusion

In this paper, we have developed a full Quantum Device Simulator by solving the Wigner equation in the mode space for a cylindrical nanowire MOSFET. A novel and efficient numerical technique to solve the Wigner equation has been developed. It's comparison with the LU decomposition method shows that significant improvement in the simulation time is obtained. Comparison of the results obtained from the Wigner equation and Quantum Drift Diffusion method suggests that later can be continued to be used after suitable adjustments to the mobility and effective masses (across the transport). Timing comparison of the Wigner equation and QDD formalism indicates that the later is more than 200 times faster than the Wigner equation.