Quantifying the Charge Carrier Interaction in Metallic Twisted Bilayer Graphene Superlattices

The mechanism of charge carrier interaction in twisted bilayer graphene (TBG) remains an unresolved problem, where some researchers proposed the dominance electron–phonon interaction, while others showed evidence for electron–electron or electron–magnon interactions. Here we propose to resolve this problem by generalizing Bloch–Grüneisen equation and using it analysis temperature dependent resistivity TBG. It is a well-established theoretical result that power-law exponent, p, exhibits exact integer values certain mechanisms. For instance, p = 5 implies 3 associated with 2 applies interaction. interpret linear temperature-dependent resistance, widely observed TBG, as p→1, which quasielastic acoustic phonons. Thus, fitted TBG resistance curves equation, free-fitting parameter. We found TBGs have smoothly varied p-value (ranging from 1.4 4.4) depending on Moiré superlattice constant, λ, concentration, n. This different mechanisms superlattices transition one another on, at least, λ generalized applicable wide range disciplines, including superconductivity geology.