  In topological insulators doped with magnetic ions, spin-orbit coupling and
ferromagnetism give rise to the quantum anomalous Hall effect. Here we show
that in s-wave superconductors with strong spin-orbit coupling, magnetic
impurity ions can generate topological vortices in the absence of external
magnetic fields. Such vortices, dubbed quantum anomalous vortices, support
robust Majorana zero-energy modes when superconductivity is induced in the
topological surface states. We demonstrate that the zero-energy bound states
observed in Fe(Te,Se) superconductors are possible realizations of the Majorana
zero modes in quantum anomalous vortices produced by the interstitial magnetic
Fe. The quantum anomalous vortex matter not only advances fundamental
understandings of topological defect excitations of Cooper pairing, but also
provides new and advantageous platforms for manipulating Majorana zero modes in
quantum computing.
