Topological nature of superconductivity from composite-carrier pairing in Chern bands

Ascertain whether superconductivity arising from composite-carrier pairing formed by binding doped charge to spin-flip (magnon) excitations in a doped Chern ferromagnet remains topological by virtue of its origin in a Chern band.

Background

If composite-carrier pairing is realized in a doped Chern ferromagnet, an immediate question is whether the resulting superconducting state inherits nontrivial topology from the Chern band. Establishing the topological character of such superconductivity is crucial for understanding possible chiral or other topological pairing symmetries observed in moiré systems.

The authors motivate this question by prior proposals of topological superconductivity in Chern bands and by the close interplay of magnetism and topology in narrow-band moiré materials.

References

This raises two important open questions. And if such pairing occurs, does the resulting superconducting state remain topological by virtue of its origin in a Chern band?

— Chiral skyrmionic superconductivity from doping a Chern Ferromagnet  (2604.02298 - Gonçalves et al., 2 Apr 2026) in Introduction (paragraph beginning with "This raises two important open questions.")