Capturing magic angles in twisted bilayer graphene from information theory markers

Calixto Molina, Manuel; Mayorgas Reyes, Alberto; Castaños, Octavio

doi:10.1016/j.physe.2025.116199

2409.07935v2.pdf (1.345Mb)

Identificadores

URI: https://hdl.handle.net/10481/102903

DOI: 10.1016/j.physe.2025.116199

DOI: 10.48550/arXiv.2409.07935

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Editorial

Elsevier

Materia

Twisted bilayer graphene

Flat bands

Zero modes

Magic twist angles

Fidelity-susceptibility

Fecha

2025-01-16

Referencia bibliográfica

Published version: Calixto Molina, Manuel et al. Physica E: Low-dimensional Systems and Nanostructures Volume 169, April 2025, 116199. https://doi.org/10.1016/j.physe.2025.116199

Patrocinador

Spanish MICIU through the project PID2022-138144NB-I00; Spanish MIU FPU19/06376; University of Granada; Polytechnic University of Cartagena, Spain; European Commission project C-QuENS (ID: 101135359); Program PASPA from DGAPA-UNAM

Resumen

Zero energy eigenstates ψ0(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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