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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