Abstract

Theoretical calculations of binding energies of electrons by nitrogen pairs in GaP are reported. The calculations are based on the Koster-Slater Green's-function equation and the central-cell defect-potential approximation of Hjalmarson et al. [Phys. Rev. Lett. 44, 810 (1980)]. The defect-potential parameters ${V}_{s}$ and ${V}_{p}$ are adjusted to fit the experimental binding energies of electrons by single N impurity and seven (NN${)}_{1}$ (x=1,2,...,7) pairs. The results are in general agreement for the first time with experiments for either range or ordering of binding energies, and thus strongly support the Hopfield-Thomas-Lynch model for isoelectronic traps. Besides, excited electronic states of (NN${)}_{1}$, (NN${)}_{3}$, (NN${)}_{5}$, and (NN${)}_{6}$ are reported. The energy value of the (NN${)}_{1}$ excited state supports the speculation of Cohen et al.

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