A two-dimensional numerical simulation of a cylindrical resonant tunneling structure using a parallelized two-dimensional lattice Weyl-Wigner transport model

Abstract

We have recently developed a Buot-Jensen type lattice Weyl-Wigner 2D single band transport computer code which examines two-dimensional transport through a nanoscale quantum device exhibiting circular cylindrical symmetry. By performing the simulation in two dimensions, we are including radial effects in the Wigner function transport equation (WFE) which are not present in any one-dimensional simulation. We will describe the progress and process of constructing our simulation applied to a resonant tunneling structure (RTS) which can be described as a series of cylindrical shell RTSs, each having circular summary. We compare and contrast the results to an analogous structure simulated in one-dimension. The effect of radial drift, scattering and charge distribution will de discussed.