Numerical methods for a quantum energy transport model arising in scaled MOSFETs

Abstract

This paper describes numerical methods for a four-moments quantum energy transport(QET) model, which is derived by using a diffusion scaling in the quantum hydrodynamic model. Space discretization is performed by a new set of unknown variables. Numerical stability and convergence are obtained by developing an iterative solution method with a relaxation method. Numerical results in a scaled MOSFET are discussed. The QET model allows simulations of quantum confinement transport, and nonlocal and hot-carrier effects in scaled MOSFETs.