Abstract
We compute self-consistently the matrix elements of the Hamiltonian and the momentum in a localized basis for covalent semiconductors. This basis is connected with the Wannier functions of the system obtained by means of a variational method. The calculation has been performed for different lattice constants in order to look for a dependence law for and . The results are more satisfactory in Si, where roughly scales as . The scaling of the Cartesian components of is rather more complicated, but a simple behavior is obtained for the modulus .
- Received 19 December 1983
DOI:https://doi.org/10.1103/PhysRevB.29.6840
©1984 American Physical Society