Next: Introduction
Abstract:
In semiconductor heterostructures the electron dispersion relations are non-parabolic
and vary with position. The non-parabolicity is described by effective Hamiltonians
which either include higher-order
derivatives or couple several basis states.
As a result, the current density operator is not simply
related to the gradient. By generalizing Green's identity to higher-order derivatives
and to difference relations, the appropriate form of this operator is derived for all of
the commonly-used band structure representations.
William R. Frensley
Tue May 23 12:57:57 CDT 1995