SPECIAL-LINES APPROXIMATION TO BRILLOUIN-ZONE INTEGRATION

For the sake of saving memory and cpu time, in particular, for device modelling, a new approximation to integrals over the Brillouin zone is proposed, where the 3D integral is replaced with a sum of 1D integral s along characteristic directions (e.g. symmetry lines) of the crystal lattice. In contrast to parabolic-isotropic approximations, this meth od takes into account the full non-parabolicity and approximates the w arping of real bands. As a test, numerical results are given for the h eavy- and light-hole density as function of Fermi energy in InGaAsP.