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

Abstract

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 Z_2 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 filing fractions. We analyze and discuss the characteristics of these topological insulators and their surfaces states.

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Cited by in corpus (3)

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• Half quantum spin Hall effect on the surface of weak topological insulators
• Edge states and topological properties of electrons on the bismuth on silicon surface with giant spin-orbit coupling