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Two-dimensional second-order topological superconductors hostzero-dimensional Majorana bound states at their boundaries. In this work,focusing on rotation-invariant crystalline topological superconductors, weestablish a bulk-boundary correspondence linking the presence of such Majoranabound states to bulk topological invariants introduced by Benalcazar et al. Wethus establish when a topological crystalline superconductor protected byrotational symmetry displays second-order topological superconductivity. Ourapproach is based on stacked Dirac Hamiltonians, using which we relatetransitions between topological phases to the transformation properties betweenadjacent gapped boundaries. We find that in addition to the bulk rotationalinvariants, the presence of Majorana boundary bound states in a given geometrydepends on the interplay between weak topological invariants and the locationof the rotation center relative to the lattice. We provide numerical examplesfor our predictions and discuss possible extensions of our approach.

Second-Order Bulk-Boundary Correspondence in Rotationally Symmetric Topological Superconductors from Stacked Dirac Hamiltonians