Main Question or Discussion Point
As we know topological phases cannot be explained using spontaneous symmetry breaking and order parameter. But can they coexist? Suppose there is a system which is undergoing quantum phase transition to a anti-ferromagnetic phase from a disordered phase. So in the anti-ferromagnetic phase continuous rotational symmetry is spontaneously broken. Can this anti-ferromagnetic phase be a topological insulator as well? Or one need to tune some parameter within the anti-ferromagnetic phase to make it a anti-ferromagnetic topological insulator.