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We present a linear response calculation for twisted bilayer graphene. Thecalculation is performed for both the continuum and tight-binding models, withthe aim of assessing the validity of the former. All qualitatively importantfeatures previously reported by us [T. Stauber et al. Phys. Rev. Lett. 120,046801 (2018)] for the Drude matrix in the continuum model are also present inthe tight-binding calculation, with increasing quantitative agreement fordecreasing twist angle. These features include the chiral longitudinal magneticmoment associated with plasmonic modes, and the anomalous counterflow aroundthe neutrality point, better interpreted as a paramagnetic response. We haveaddressed the differences between Drude and equilibrium response, and shownthat orbital paramagnetism is the equilibrium response to a parallel magneticfield over a substantial doping region around the neutrality point. Chiralityalso makes the equilibrium response to exhibit a non trivial current structureassociated with the non-vertical character of interlayer bonds in thetight-binding calculation.

Linear response of twisted bilayer graphene: continuum vs. tight-binding models