Theoretical study of the Pauli violation ratio in magic-angle twisted multilayer graphene

Motivated by recent experimental studies on magic-angle twisted multilayer graphene [Park et al. Nature Materials 21, 877, 2022] who observed robust superconductivity with a critical magnetic field in excess of the Pauli limit, in this theoretical work we calculate how the upper bound on the Pauli violation ratio (i.e. the ratio between the critical magnetic field and the Pauli limit value) in this system depends on atomic relaxation, disorder and spontaneous emergence of ferroelectricity. We find that for realistic experimental parameters this ratio can be large, consistent with experimental observations.