Half-metallic properties of the Co2Ti1−xFexGa Heusler alloys and Co2Ti0.5Fe0.5Ga (0 0 1) surface

Electronic and magnetic properties of the bulk Co₂Ti_1−xFe_xGa Heusler alloys and Co₂Ti_0.5Fe_0.5Ga (0 0 1) surfaces are studied within the framework of density functional theory using the augmented plane wave plus local orbital (APW+lo) approach. It will be shown that all alloys have the spin polarization of the ideal 100% value except the Co₂FeGa alloy with spin polarization about 98%. Co₂Ti_0.5Fe_0.5Ga is an example that is stable against the effects destroying the half-metallicity due to the position of the Fermi energy (E_F) in the middle of the minority band gap. The phase diagram obtained by ab-initio atomistic thermodynamics shows that in the higher limit of μ_Ga three surfaces of FeGa, TiGa and TiFeGa are accessible in the Co₂Ti_0.5Fe_0.5Ga alloy but on decreasing μ_Ga, the accessible region gradually moves towards FeGa termination. It is discussed that, at the ideal surfaces, half-metallicity of the alloy is lost, although the TiGa surface keeps high spin polarization (about 95%).