Nonlinear resonant tunneling in systems coupled to quantum reservoirs

TL;DR

This paper develops an adiabatic approximation to analyze steady-state and dynamic electron transport in biased resonant tunneling systems with nonlinear interactions, providing a new modeling approach.

Contribution

It introduces a novel adiabatic approximation framework for nonlinear resonant tunneling systems coupled to quantum reservoirs.

Findings

Effective modeling of electron transport in nonlinear resonant tunneling structures.

Insight into steady-state and time-dependent behaviors of interacting electrons.

Potential applications in designing quantum electronic devices.

Abstract

An adiabatic approximation in terms of instantaneous resonances is developed to study the steady-state and time-dependent transport of interacting electrons in biased resonant tunneling heterostructures. The resulting model consists of quantum reservoirs coupled to regions where the system is described by nonlinear ordinary differential equations and has a general conceptual interest.