Non-perturbation theory of electronic dynamic conductivity for two-barrier resonance tunnel nano-structure

TL;DR

This paper develops a non-perturbation theoretical framework for calculating electronic dynamic conductivity in two-barrier resonance tunnel nano-structures, accommodating strong electromagnetic fields and complex electron interactions.

Contribution

It introduces the first non-perturbation approach to dynamic conductivity in open nano-structures with rectangular potentials and variable effective masses.

Findings

Results align qualitatively and quantitatively with previous perturbation-based theories.

The method extends to strong electromagnetic fields in complex nano-structures.

Applicable to quantum cascade lasers and detectors.

Abstract

The non-perturbation theory of electronic dynamic conductivity for open two-barrier resonance tunnel structure is established for the first time within the model of rectangular potentials and different effective masses of electrons in the elements of nano-structure and the wave function linear over the intensity of electromagnetic field. It is proven that the results of the theory of dynamic conductivity, developed earlier in weak signal approximation within the perturbation method, qualitatively and quantitatively correlate with the obtained results. The advantage of non-perturbation theory is that it can be extended to the case of electronic currents interacting with strong electromagnetic fields in open multi-shell resonance tunnel nano-structures, as active elements of quantum cascade lasers and detectors.