文摘
Dilute germanium carbides (Ge<sub>1−ss="EmphasisTypeItalic ">x sub>C<sub> x sub>) offer a direct bandgap for compact silicon photonics, but widely varying properties have been reported. This work reports improved band structure calculations for Ge<sub>1−ss="EmphasisTypeItalic ">x sub>C<sub> x sub> using ab initio simulations that employ the HSE06 exchange–correlation density functional. Contrary to Vegard’s law, the conduction band minimum at Γ is consistently found to decrease with increasing C content, while L and X valleys change much more slowly. The calculated Ge bandgap is within 11% of experimental values. A decrease in energy at the Γ conduction band valley of (170 meV ± 50)/%C is predicted, leading to a direct bandgap for x > 0.008. These results indicate a promising material for Group IV lasers.