Magic angle in thermal conductivity of twisted bilayer graphene

We report a local minimum in thermal conductivity twisted bilayer graphene (TBG) at the angle of 1.08°, which corresponds to ‘magic angle’ transition several other reported properties. Within supercell moiré lattice, different stacking modes generate phonon scattering sites reduce TBG. The magic arises from competition between delocalization atomic vibrational amplitudes and stresses on one hand, increased AA density hand. former effect weakens strength single scatterer while latter increases scatterers. combination these two effects eventually leads apparition highlighted irregularity heat conduction. manifestation angle, disclosing new mechanisms nanoscale, further uncovers unique physics two-dimensional materials.