Mechanical and electronic properties of SieGe alloy in Cmmm structure

Using the density functional theory, a first-principles calculation for a novel orthorhombic structure (z-phase) property of silicon, germanium and their alloy Si_0.5Ge_0.5 is carried out in this work. The crystal structure is optimized to be in agreement with existing results, and based on this, the elastic properties including elastic constants and moduli are calculated, satisfying the elastic stability criteria. The anisotropic properties are represented by multiple anisotropic factors and linear bulk moduli, and the results indicate zphase Si_0.5Ge_0.5 performs slight anisotropy in the c-axis direction. Besides, solid sound velocities in different propagation orientations and modes as well as Debye temperature are predicted using elastic moduli. At last, the band structure and density of states of zphase Si_0.5Ge_0.5are calculated, and comes out z-phase Si_0.5Ge_0.5is indirect band semiconductor with a narrow band gap.