Full Schrodinger-Poisson solver in 1D in the conduction band
This program solves the Schrodinger-Poisson equations in the conduction band for any heterostructures.
2 versions are available:
- one is using the Kane model to take into account the non-parabolicity. Two algorithm are available, the shooting method and the diagonalisation of the Hamiltonian (FEM). Both algorithm lead to the same results but the FEM is faster.
- The second is only using the shooting method and the non-parabolicity is implemented via the alpha parameter, alpha=1/Egap; and meff(E)=meff(0)(1+alphaE)
Both models follow the book of Paul Harrison and actually makes the 2d density of states not constant https://onlinelibrary.wiley.com/doi/book/10.1002/9781118923337
DOI:10.1002/9781118923337
A strain model is included. It basically shifts the conduction band edge The strain is mainly interesting for InGaAs/GaAs heterostructures The non-parabolicity is also included into the density of states for the Poisson solver.
-> Additionnal material can be added in the "materialDB_ZB.csv" file
-> II-VI and cubic nitride material parameters are available but should be grabt in the "Library.m" file
Enjoy! If you like it, don t forget the star!