Abstract
We study a tight-binding model of the supercubane-like lattice with spin–orbit coupling. By evaluating the Z2 topological indices, we find that the supercubane-like lattice can support strong topological insulator and the phase diagrams of the lattice with different filling fractions are present. Strong topological insulators with Z2 invariants (1;000) and (1;111) can be realized for 1/8 filling fraction and semimetals can be obtained for 1/8, quarter and half filling fractions. We analyze and discuss the characteristics of these topological insulators and their surface states. Spin textures of surface states are also evaluated for 11¯1 slab geometry.
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