The impact of the k-linear term on nonlinear optical response of the C-exciton manifold in ZnO were investigated. The spectral decomposition analysis of C exciton was studied using time-integrated and spectrally resolved four-wave mixing (FWM). It was observed that the energy separation between the lower polariton branch and the extra branch, which was due to the k-linear term, was 3.3 meV. It was also observed that the binding energy of the biexcitons, which consisted of two C excitons, was 1.4 meV.
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