Simulation of resonant tunneling heterostructures: numerical comparison of a complete Schrodinger-Poisson system and a reduced nonlinear model

摘要

Two different models are compared for the simulation of the transverse electronic transport through a heterostructure: a 1D self-consistent Schrodinger-Poisson model with a numerically heavy treatment of resonant states and a reduced model derived from an accurate asymptotic nonlinear analysis. After checking the agreement at the qualitative and quantitative level on quite well understood bifurcation diagrams, the reduced model is used to tune double well configurations for which nonlinearly interacting resonant states actually occur in the complete self-consistent model.