quantum well is semiconductor from this in most application optical transition and the band gap is the most important things to generate laser ..Best Regards

A fairly simple model will contain the bandgaps (for III-V materials, particularly the direct Gamma and indirect X and L valleys) and effective masses (for III-V materials, particularly the Gamma, X and L valley electrons, and the heavy and light holes) of the semiconductor alloys involved. If strain is involved, the empirical deformation potentials can be used to calculate the effect. For III-V's, a good repository of values is given in Ref. [1]. There are a few errors in some of the less used values that I've corrected and compounded into a small, open-source python library available at [2], with documentation at [3].

For optical mode simulation, you will also want models for the complex refractive indexes as a function of photon energy (or wavelength in vacuum). This can become somewhat complicated, though, since the refractive index changes with carrier injection due to band filling and free-carrier absorption. Nonetheless, these higher order effects can be ignored at first.

[1]I. Vurgaftman, J. R. Meyer, and L. R. Ram-Mohan, “Band parameters for III–V compound semiconductors and their alloys,” Journal of Applied Physics, vol. 89, no. 11, pp. 5815–5875, Jun. 2001.

[2] https://github.com/scott-maddox/openbandparams/releases/latest

[3] http://scott-maddox.github.io/openbandparams/

Jerry Meyer and Vurgaftman's paper is the bible, and gives great self-consistency across the III-V material system. We found it modeled real behavior very well when integrated with crossllight. It matched PL quite well too.

If we are talking about quantum wells, besides the band gap, it is important to know the lattice constants of materials in order to predict possible strain. The deformation effects, in turn, influence on the band gap and selection rules for the interband optical transitions. Usually, it is better to deal with a lattice-matched pair of semiconductors (especially from the technological point of view). However, there are some papers where strain helps to turn optical characteristics of the laser.