#### Piotr M. Mensz

Report 4,
December 30, 2022

# Prospects for THz A_xlGa_1-xN/GaN TW-QCL Structure*

This report describes the simulation results obtained within the
Non-equilibrium Green Function’s function(NEGF) formalism as provided
in the software <i>nextnano.NEGF</i>. In this stage of the research I
discovered significant inconsistencies in previous calculations which
have an Important impact on QCL simulations and lead to quantitative
and physical errors also reported in QCL literature of based on the
<i>nextnano.NEGF</i> software. The model uses Schrodinger Equation
solution for single CB band after determination of the non-parabolic
effective mass from 3x3 <b>k·p</b> Hamiltonian for Conduction(CB)
light hole ( LH) bands and Spin-Orbit (SO) split-off band. The
solution of Schrodinger Equation give wave functions which in QCL
geometry form min-bands. The highest energy obtained in calculations
has to be below the user defined in the input file energy cut-off
parameter, <i>Energy_Range_Axial</i>, which value also limits energy
range of NEGF used in calculations.

*<i>*This work has been completed in part under the Israel Ministry of Science and Technology Grant no. 3-16813. </i>*

Full report link:
[Prospects for THz AxlGa1-xN/GaN TW-QCL
Structure.](https://drive.google.com/file/d/1QFysW4x64mEYXaBpd0afdzUHA5-L6CYj/view?usp=sharing)