Effective Nonlinear Model of Resonant Tunneling Nanostructures

TL;DR

This paper presents a simple, analytically tractable nonlinear model for resonant tunneling nanostructures that accounts for electron-electron scattering effects, showing resonance shifts and good agreement with self-consistent solutions.

Contribution

Introduces a novel nonlinear effective-mass model for resonant tunneling structures that simplifies analysis while capturing electron-electron scattering effects.

Findings

Resonance peaks shift to higher energies with increased nonlinear coupling

Model results agree well with self-consistent Schrödinger-Poisson solutions

Calculation method is fast and suitable for rapid analysis

Abstract

We introduce a model of a nonlinear double-barrier structure, to describe in a simple way the effects of electron-electron scattering while remaining analytically tractable. The model is based on a generalized effective-mass equation where a nonlinear local field interaction is introduced to account for those inelastic scattering phenomena. Resonance peaks seen in the transmission coefficient spectra for the linear case appear shifted to higher energies depending on the magnitude of the nonlinear coupling. Our results are in good agreement with self-consistent solutions of the Schr\"odinger and Poisson equations. The calculation procedure is seen to be very fast, which makes our technique a good candidate for rapid approximate analysis of these structures.