Effect of an anisotropic effective mass on the binding energy of complexes

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Abstract
The anisotropy of the electron effective mass in a semiconductor increases the binding energy of complexes, when the optical reduced mass is held constant. A general theorem is given for the dependence of the energy on the anisotropy. For the two-electron two-Coulomb-center system with parallel principal-mass axes, the energy is lower when the direction of the light-mass axes is parallel rather than perpendicular to the axis of centers. The electrons prefer to form the bonding charge between the centers by overlapping their light-mass region.

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