Time-reversal invariant topological gapped phases in bilayer Dirac materials

We show that a plethora of topological insulating phases can appear in bilayer Dirac materials, including first-order topological insulators, topological mirror insulators, and second-order topological insulators. By considering doping and short-range attractive interactions, we show at a mean-field level that intrinsic odd-parity superconductivity can arise in such systems. Depending on the number and positions of Fermi surfaces in the normal state, we find that the resulting odd-parity superconductivity can lead to diverse time-reversal invariant topological superconducting phases, including topological superconductors and topological mirror superconduc-tors. Our findings suggest that bilayer Dirac materials could be an excellent platform for investigating topological phases.

Automated summary

This study demonstrates that various topological insulating phases can be found in bilayer Dirac materials, and intrinsic odd-parity superconductivity can arise in these systems through doping and short-range attractive interactions. The number and positions of Fermi surfaces result in different topological superconducting phases.