Abstract
We present a theory that models the reflectance difference spectrum of bulk, spontaneously ordered P. Near the band gap this spectrum exhibits a sharp, negative feature at and a broad positive feature that peaks near +. The zero crossing between these two peaks occurs near +. For the sample studied in this paper, the spin-orbit splitting and the crystal-field splitting are 120 and 25 meV, respectively. Two previous calculations, which assume constant transition-matrix elements, were able to produce a negative peak at , but not the positive feature. In this paper, the reflectance difference spectrum near the band gap is calculated using an 8-band k⋅p model and an explicit treatment of the momentum or k dependence of the transition-matrix elements. The new calculation produces both the negative peak at and the positive feature that peaks near +. The positive feature is attributed to the strong k dependence of the matrix element anisotropy. A strong coupling, enhanced by ordering, between three valence bands is essential. A problem associated with the analytical expression for the dielectric function ɛ used in previous calculations is discussed.
- Received 19 September 1996
DOI:https://doi.org/10.1103/PhysRevB.55.16385
©1997 American Physical Society