Capturing magic angles in twisted bilayer graphene from information theory markers

Abstract

Zero energy eigenstates 0(θ) of the twisted bilayer graphene Hamiltonian at the Dirac point show a high sensitivity to the twist angle θ near the magic angles where the effective Fermi velocity vanishes. We use information theory markers, like fidelity-susceptibility and entanglement entropy of the reduced density matrix to the layer sector, to capture this quantum criticality of zero modes at magic twist angles.

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