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We study the effect of electron-acoustic phonon interactions in twistedbilayer graphene on resistivity in the high-temperature transport andsuperconductivity in the low-temperature phase diagram. We theoretically showthat twisted bilayer graphene should have an enhanced and strongly twist-angledependent linear-in-temperature resistivity in the metallic regime with theresistivity magnitude increasing as the twist angle approaches the magic angle.The slope of the resistivity versus temperature could approach one hundred ohmsper kelvin with a strong angle dependence, but with a rather weak dependence onthe carrier density. This higher-temperature density-independent linear-in-$T$resistivity crosses over to a $T^4$ dependence at a low density-dependentcharacteristic temperature, becoming unimportant at low temperatures. Thisangle-tuned resistivity enhancement arises from the huge increase in theeffective electron-acoustic phonon coupling in the system due to thesuppression of graphene Fermi velocity induced by the flatband condition in themoir\'e superlattice system. Our calculated temperature dependence isreminiscent of the so-called `strange metal' transport behavior except that itis arising from the ordinary electron-phonon coupling in a rather unusualparameter space due to the generic moir\'e flatband structure of twistedbilayer graphene. We also show that the same enhanced electron-acoustic phononcoupling also mediates effective attractive interactions in $s$, $p$, $d$ and$f$ pairing channels with a theoretical superconducting transition temperatureon the order of $\sim$5 K near magic angle. The fact that ordinary acousticphonons can produce exotic non-$s$-wave superconducting pairing arises from theunusual symmetries of the system.

Phonon-induced giant linear-in-$T$ resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity