Description
Chiral superconductors spontaneously break time-reversal symmetry, host a finite Chern number, and have been proposed as a platform for topological quantum computing. In particular, chiral d-wave superconductivity was recently proposed in many different materials, but smoking-gun experimental fingerprints are largely lacking. To solve this, we demonstrate how the spontaneous edge currents and magnetic signatures can be directly engineered with experimentally feasible mesoscopic patterning [1]. Furthermore, we find that quadruply quantized vortex-skyrmions are prone to form, consisting of a closed domain wall decorated with fractional vortices [2]. We demonstrate that the vortex-skyrmions are robust and that their size is easily tunable with temperature and magnetic fields. We show how the vortex-skyrmions break axial and rotation symmetries in only one direction of external field, such that a direct signature of the Chern number and superconducting pairing symmetry emerges in the local density of states and total magnetic moment.
[1] P. Holmvall, A. M. Black-Schaffer, Phys. Rev. B 111, 184505 (2025); P. Holmvall, A. M. Black-Schaffer, Phys. Rev. B 108, 174505 (2023)
[2] P. Holmvall, A. M. Black-Schaffer, Phys. Rev. B 108, L100506 (2023); P. Holmvall, N. Wall-Wennerdal, A. M. Black-Schaffer, Phys. Rev. B 108, 094511 (2023)