Capturing magic angles in twisted bilayer graphene from information theory markers
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915153539235840 |
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| author | Calixto, Manuel Mayorgas, Alberto Castaños, Octavio |
| author_facet | Calixto, Manuel Mayorgas, Alberto Castaños, Octavio |
| contents | Zero energy eigenstates $ψ_0(θ)$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07935 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Capturing magic angles in twisted bilayer graphene from information theory markers Calixto, Manuel Mayorgas, Alberto Castaños, Octavio Mesoscale and Nanoscale Physics Quantum Physics Zero energy eigenstates $ψ_0(θ)$ 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. |
| title | Capturing magic angles in twisted bilayer graphene from information theory markers |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2409.07935 |