Well, just a few days after writing this, there was a headline: "Physics Experiment... Breaks Time-Reversal Symmetry" using quadruplets of electrons... so, maybe that moiré pattern across forests of carbon nanotubes might help after all? :p

https://scitechdaily.com/physics-experiment-reveals-formation-of-a-new-state-of-matter-breaks-time-reversal-symmetry/