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The mechanism of charge carrier interaction in twisted bilayer graphene (TBG)remains an unresolved problem, where some researchers proposed the dominance ofthe electron-phonon interaction, while the others showed evidence forelectron-electron or electron-magnon interactions. Here we propose to resolvethis problem by generalizing the Bloch-Gr\"uneisen equation and using it forthe analysis of the temperature dependent resistivity in TBG. It is awell-established theoretical result that the Bloch-Gr\"uneisen equationpower-law exponent, n, exhibits exact integer values for certain mechanisms.For instance, n=5 implies the electron-phonon interaction, n=3 is associatedwith electron-magnon interaction and n=2 applies to the electron-electroninteraction. Here we interpret the linear temperature-dependent resistance,widely observed in TBG, as n$\rightarrow$1, which implies the quasielasticcharge interaction with acoustic phonons. Thus, we fitted TBG resistance curvesto the Bloch-Gr\"uneisen equation, where we propose that n is a free-fittingparameter. We found that TBGs have a smoothly varied n-value (ranging from 1.4to 4.4) depending on the Moir\'e superlattice constant, $\lambda$, or thecharge carrier concentration. This implies that different mechanisms smoothlytransition from one to another. The proposed generalized Bloch-Gr\"uneisenequation is applicable to a wide range of problems, including the Earthgeology.

Quantifying the charge carrier interaction in metallic twisted graphene superlattices