The impact of the dopants on the formation of conductive path in titanium dioxide: ab initio calculationsLei Li, Wen-Shi Li, Jian-Feng Yang, Hai-Xia Li and Ling-Feng MaoEur. Phys. J. B, 89 12 (2016) 265DOI: https://doi.org/10.1140/epjb/e2016-70381-2