Elastic, electronic, lattice dynamical properties and electron-phonon interaction in the ternary superconductors Ba(GaGe) and Ba(GaSi)

We report the results of an ab-initio study of electronic, and detailed lattice dynamical properties of superconducting materials, Ba(GaGe) and Ba(GaSi). The phonon dispersion curves along the high-symmetry directions and phonon frequencies parameters at the Brillouin zone center are computed by using density functional perturbation theory while the elastic constants are calculated in metric-tensor formulation. The band structure, and partial densities of states and Fermi surface topology are also discussed. The transition temperature Tc of superconductivity in these compounds have been evaluated. We found the values of electron-phonon coupling constant at 0.85 and 0.84 for Ba(GaSi) and Ba(GaSe).