Non-Abelian topological superconductivity in maximally twisted double-layer spin-triplet valley-singlet superconductors

Recent studies point to an exotic spin-triplet valley-singlet (STVS) superconducting phase in certain two-valley electron liquids, including rhombohedral trilayer graphene, Bernal bilayer graphene and ZrNCl, which nevertheless admits only trivial topology. Here, we predict that upon twisting two layers of STVS superconductors, a chiral f +/- if'-wave superconducting phase emerges near the maximal' twist angle of 30 degrees where the system becomes an extrinsic quasi-crystal with 12-fold tiling. The resulting composite hosts an odd number of chiral Majorana edge modes and a single non-Abelian Majorana zero mode (MZM) in the vortex core. Through detailed symmetry analysis and microscopic modelling, we demonstrate that the non-Abelian topological superconductivity (TSC) forms robustly near the maximal twist when the isolated Fermi pockets coalesce into a single connected Fermi surface in the moire Brillouin zone. Our results establish the large-twist-angle engineering, with distinct underlying moire physics from magic-angle graphene, as a viable route toward non-Abelian TSC.

Automated summary

Recent studies have uncovered an exotic spin-triplet valley-singlet superconducting phase in certain two-valley electron liquids. By twisting two layers of these superconductors, a chiral f +/- if'-wave superconducting phase emerges near a maximal twist angle of 30 degrees, resulting in an extrinsic quasi-crystal with 12-fold tiling. This composite system hosts odd numbers of chiral Majorana edge modes and a non-Abelian Majorana zero mode in the vortex core, establishing a route towards non-Abelian topological superconductivity.