Origin of Structural Anomaly in Cuprous Halides

Cuprous halides (CuX; X = Cl, Br, or I) have been extensively investigated in the literature, but many of their fundamental properties are still not very well understood. For example, debate about their crystal stability, i.e., whether the ground-state structures of CuX are zinc-blende, still exists. By performing rigorous first-principles calculations for CuX using an accurate hybrid functional, we unambiguously demonstrate that CuX are indeed stable in the zinc-blende structure, but their accurate description requires careful treatment of the exchange interaction. Previous calculations based on local or semilocal density functionals underestimated the important contributions from exchange interactions and thus underestimated the energy separation between the unoccupied 4s and occupied 3d orbitals in Cu, resulting in an overestimation of the s-d coupling and the energy reduction of distorted CuX. Our study clarifies a long-standing and highly debated issue with regard to ground-state structures of CuX and advances the physics of phase stability and the importance of s-d coupling in semiconductors.