The effect of interface phonons on operating electron states in three-barrier resonant tunneling structure as an active region of quantum cascade detector

TL;DR

This paper models how interface phonons influence electron states in a three-barrier quantum structure, revealing that transition energies are weakly affected by barrier positioning regardless of temperature.

Contribution

It introduces a first-principles Hamiltonian for electron-phonon interactions in a three-barrier quantum structure and analyzes their effects on electron states using Green's functions.

Findings

Transition energies are weakly dependent on barrier position.

Temperature does not significantly alter the energy of quantum transitions.

The model provides insights into electron-phonon interactions in quantum cascade detectors.

Abstract

The Hamiltonian of electrons interacting with interface phonons in three-barrier resonant tunneling structure is established using the first principles within the models of effective mass and polarization continuum. Using the Green's functions method, the temperature shifts and decay rates of operating electron states are calculated depending on geometric design of three-barrier nano-structure GaAs/Al$_{x}$Ga$_{1-x}$As which is an active region of quantum cascade detector. It is established that independently of the temperature, the energy of quantum transition during the process of electromagnetic field absorption is a nonlinear weakly varying function of the position of the inner barrier with respect to the outer barriers of the structure.