Hybrid density functional studies of cadmium vacancy in CdTe

The intrinsic defect of cadmium vacancy （Vcd） in cadmium telluride （CdTe） has been studied by first-principles cal- culations using potentials with both the screened hybrid functional of Heyd, Scuseria, and Ernzerhof （HSE） approximation and the generalized gradient approximation of the Perdew-Burke-Ernzerhof form （PBE-GGA）. Both results show that the Ta structure of the Vctl defect for different charges is the most stable structure as compared with the distorted C3v structure with one hole localized at one of the four nearest Te atoms. This indicates that the John-Teller distortion （C3v） structure may be unstable in bulk CdTe crystal. The reason likely lies in the delocalized resonance nature of the t2 state of the Vcd defect. Moreover, the formation energy obtained by the HSE method is about 0.6-0.8 eV larger than that obtained by the PBE method. The transition levels calculated by the PBE method and the HSE method are similar and well consistent with the experimental results.