It is shown that integration of the set of differential equations that describes semiconductor heterostructures within the envelope-function approach gives the proper boundary conditions for the envelope functions at abrupt interfaces. These boundary conditions are correct in the sense that they ensure the continuity of the (cell-averages of the) particle density and the probability current density. Proper symmetrization rules for the effective Hamiltonian can be inferred from the requirement to conserve the probability current density.
ASJC Scopus subject areas
- Materials Science(all)
- Condensed Matter Physics
- Electrical and Electronic Engineering