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Temperature-linear Resistivity in Twisted Double Bilayer Graphene

We report an experimental study of carrier density (n), displacement field (D) and twist angle (θ) dependence of temperature (T)-linear resistivity in twisted double bilayer graphene (TDBG). For a large twist angle (θ>1.5°) where correlated insulating states are absent, we observe a T-linear resistivity (with the slope of the order ~10Ω/K) over a wide range of carrier density and its slope decreases with increasing of n, in agreement with acoustic phonon scattering model semi-quantitatively. The slope of T-linear resistivity is non-monotonically dependent on the displacement field with a single peak structure. For device with θ~1.23° at which correlated states emerge, the slope of T-linear resistivity is found maximum (~100Ω/K) at the boundary of the halo structure where phase transition occurs, with signatures of continuous phase transition, Planckian dissipation, and the diverging effective mass; these observations are in line with quantum critical behaviors, which might be due to the symmetry-breaking instability at the critical points. Our results shed new light on correlated physics in TDBG and other twisted moiré systems.