Three-dimensional topological insulators in the octahedron-decorated cubic lattice

We investigate a tight-binding model of the octahedron-decorated cubic lattice with spin-orbit coupling. We calculate the band structure of the lattice and evaluate the Z(2) topological indices. According to the Z2 topological indices and the band structure, we present the phase diagrams of the lattice with different filling fractions. We find that the (1; 111) and (1; 000) strong topological insulators occur in some range of parameters at 1/6, 1/2, and 2/3 filling fractions. Additionally, the (0; 111) weak topological insulator is found at 1/6 and 2/3 filling fractions. We analyze and discuss the characteristics of these topological insulators and their surface states.