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Change of chirality at magic angles of twisted bilayer graphene

Stauber, T. ; González, J. ; Gómez-Santos, G.


We derive a simple formula for the real-space chirality of twisted bilayer graphene that can be related to the cross product of its sheet currents. This quantity shows well-defined plateaus for the first remote band as a function of the gate voltage which are approximately quantized for commensurate twist angles. The zeroth plateau corresponds to the first magic angle where a sign change occurs ...


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