JCMS: Quantum Criticality and Enhanced Superconductivity in Twisted Multilayer Graphene

by Xinghai Zhang (KTH)

Monday 10 Nov 2025, 11:00 → 12:00 Europe/Stockholm

Albano 3: 6228 - Mega (22 seats) (Albano Building 3)

Multilayer moiré materials can exhibit topological electronic features yet are inherently quasiperiodic—leading to wave function interference whose Anderson-localizing tendency can be mitigated by topology. While the atomic scale quasiperiodicity is elegantly glossed over in the Bistritzer-MacDonald model of twisted bilayer graphene, twisted multilayer graphene (TMG) are generically quasiperiodic on the moiré scale, due to the incommensurate twist angle mismatch. Here we show that quasiperiodic TMG exhibits normal state quantum criticality and hosts robust superconductivity with rigid phase stiffness, not relying on the fine-tuning to magic angles. The enhanced superconductivity results from wave function criticality in the normal state, which effectively simulates topological superconductor surface states. The interplay of quasiperiodicity and nontrivial topology in TMG make it behave like a critical metal, with fractal wave function statistics at all energies linked to the plateau transition of the integer quantum Hall effect. We show that the criticality and robust superconductivity is further stabilized by increasing interlayer coupling in TMG, which is experimentally accessible by applying pressure.