Electronic structure of rutile simultaneously doped with carbon and nitrogen atoms in the coherent potential approximation

The coherent potential method has been used for calculating the electronic structure and magnetic properties of rutile with a disordered arrangement of impurity carbon and nitrogen atoms in the oxygen sublattice: TiO$_{2-x-y}$C$_x$N$_y$, $x(y)$ = 0, 0.03, and 0.06. The tendencies to changes in the magnetic moment and photocatalytic activity with variations in the carbon-nitrogen composition of codoped rutile have been analyzed using the obtained data.