Higher-Order Topological Phases in Point-Group Symmetric Superconductors*

The search of platforms hosting Majorana zero modes is one of the central issues to achieving topological qubits. One of the newest venues explored to this end is higher-order topological superconductivity. In this talk, we consider a point-group symmetric quantum anomalous Hall system with proximity-induced s-wave superconductivity, that is well-known to host chiral/helical Majorana edge states. We find that as we tune the parameters of chemical potential and superconducting pairing magnitude, higher-order topological Majorana states arise at the corners of the system protected by the underlying rotational point-group symmetry.  We further discuss a method to probe the stability and transport properties of these emergent corner states so as to provide a connection with experimental realizations. Our results point to a parallel path to engineer and manipulate Majorana fermions in topological superconductors with point-group symmetries.