Capturing magic angles in twisted bilayer graphene from information theory markers

• URL: http://arxiv.org/abs/2409.07935v1
• Date: Thu, 12 Sep 2024 11:03:14 GMT
• Title: Capturing magic angles in twisted bilayer graphene from information theory markers
• Authors: Manuel Calixto, Alberto Mayorgas, Octavio Castaños,
• Abstract summary: We 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, to capture this quantum criticality of zero modes at magic twist angles.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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