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arXiv · 2409.07935

Capturing magic angles in twisted bilayer graphene from information theory markers

Manuel Calixto·Alberto Mayorgas·Octavio Castaños
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Abstract

Zero energy eigenstates $\psi_0(\theta)$ of the twisted bilayer graphene Hamiltonian at the Dirac point show a high sensitivity to the twist angle $\theta$ 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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Manuel Calixto, Alberto Mayorgas, Octavio Castaños. 2024-09-12. Capturing magic angles in twisted bilayer graphene from information theory markers. https://doi.org/10.1016/j.physe.2025.116199

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