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Chiral topological insulators, superconductors, and other competing orders in three dimensions

Chiral topological insulators, superconductors, and other competing orders in three dimensions

We discuss the proximate phases of a three-dimensional system with Dirac-like dispersion. Using the cubic lattice with plaquette $\pi$-flux as a model, we find, among others phases, a chiral topological insulator and singlet topological superconductor. While the former requires a special "chiral" symmetry, the latter is stable as long as …