Dissipation fingerprints of chiral topological superconductors

Chiral topological superconductors (TSCs) in two dimensions are predicted to host chiral Majorana edge modes, yet their unambiguous experimental identification remains a major challenge. The half-quantized electrical conductance plateau was long considered a definitive signature, but recent findings that trivial phases can mimic this behavior have cast doubt on its validity. Here, we show that spatially resolved energy dissipation serves as a robust fingerprint to resolve this ambiguity. Contrary to conventional superconductors where dissipation arises from vortex motion, we demonstrate that even static vortices in chiral TSCs induce measurable edge-state dissipation via inelastic scattering with vortex core states. By analyzing hybrid quantum anomalous Hall--TSC junctions, we find that while phases with Chern numbers $N=0, 1, 2$ all exhibit identical half-quantized electrical conductance, they present unique spatial dissipation profiles that effectively identify the chiral Majorana modes. As a complementary consistency check, we show that the intrinsic transverse thermal Hall response remains quantized in an ideal chiral-edge geometry. Together, our results establish dissipation imaging as a conceptually distinct and decisive approach to experimentally identifying chiral topological superconductivity.