Determination of spin-orbit splitting Δ 0 of valence band at Γ for gallium phosphide nanoparticles using fluorescence and infrared spectroscopes

Abstract

The value of spin-orbit splitting Δ 0 of gallium phosphide (GaP) nanoparticles was determined. The information concerning the spin-orbit splitting of the valence band at Γ was acquired using fluorescence and infrared spectroscopes. Detailed investigation on the fluorescence characteristics under ultraviolet photoexcitation reveals that two doublets of emission transitions are related to the spin-orbit splitting of the valence band. The origin of two broad violet emissions, 3.00 and 3.10 eV, can be attributed to the direct transitions near the Γ point of the Brillouin zone between the Γ 1 conduction band and Γ 15 valance band, that is, Γ 6c -Γ 8v and Γ 6c -Γ 7v , respectively. The origin of two blue emissions, 2.74 and 2.64 eV, can be attributed to the indirect transitions between the X 1 conduction band and Γ 15 valance band, that is, Δ 5c -Γ 8v and Δ 5c -Γ 7v , respectively. Based on these transitions, the spin-orbit splitting Δ 0 of the GaP nanoparticles is determined as 0.10 eV. The infrared spectrum of the GaP nanoparticles shows a band at 817 cm −1 which is assigned to the transition between the Γ 7v and Γ 8v valence band maxima. It follows therefore that the spin-orbit splitting Δ 0 is 0.10 eV.