从信息论标记捕捉扭曲双层石墨烯中的神奇角度

arXiv - PHYS - Quantum Physics Pub Date : 2024-09-12 DOI:arxiv-2409.07935

Manuel Calixto, Alberto Mayorgas, Octavio Castaños

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引用次数: 0

摘要

扭曲的双层石墨烯哈密顿在狄拉克点的零能特征状态$\psi_0(\theta)$在有效费米速度消失的神奇角度附近显示出对扭曲角度$\theta$的高度敏感性。我们利用信息论的标记，如还原密度矩阵对层扇区的保真度-敏感性和纠缠熵，来捕捉神奇扭转角处零模式的量子临界性。

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Capturing magic angles in twisted bilayer graphene from information theory markers

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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arXiv - PHYS - Quantum Physics

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