Boundary treatments in non-equilibrium Greens function (NEGF) methods for quantum transport in nano-MOSFETs
Non-equilibrium Greens function (NEGF) is a general method for modeling non-equilibrium quantum transport in open mesoscopic systems with many body scattering effects. In this paper, we present a unified treatment of quantum device boundaries in the framework of NEGF with both finite difference and finite element discretizations. Boundary treatments for both types of numerical methods, and the resulting self-energy ? for the NEGF formulism, representing the dissipative effects of device contacts on the transport, are derived using auxiliary Greens functions for the exterior of the quantum devices. Numerical results with both discretization schemes for an one-dimensional nano-device and a 29nm double gated MOSFET are provided to demonstrate the accuracy and flexibility of the proposed boundary treatments.
non-equilibrium greens function (negf) quantum transport mosfet self-energy nano-devices schrdinger equation