幻角手性模型中平带的精细结构

IF 1.3 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2024-10-14 DOI:10.1007/s00023-024-01478-3

Simon Becker, Tristan Humbert, Maciej Zworski

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引用次数: 0

摘要

我们根据Becker-Embree-Wittsten-Zworski引入的框架，分析了扭曲双层石墨烯（TBG）的Tarnopolsky-Kruchkov-Vishwanath手性模型在幻角处的Bloch特征函数的对称性。我们证明了第一个布洛赫特征值在远离狄拉克点的地方消失意味着它在所有动量处消失，即存在一个平坦带。我们还展示了平坦带的多重性如何与Bloch特征函数的节点集相关。最后，我们给出了两个关于平带结构的数值观测结果。

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Fine Structure of Flat Bands in a Chiral Model of Magic Angles

We analyse symmetries of Bloch eigenfunctions at magic angles for the Tarnopolsky–Kruchkov–Vishwanath chiral model of the twisted bilayer graphene (TBG) following the framework introduced by Becker–Embree–Wittsten–Zworski. We show that vanishing of the first Bloch eigenvalue away from the Dirac points implies its vanishing at all momenta, that is, the existence of a flat band. We also show how the multiplicity of the flat band is related to the nodal set of the Bloch eigenfunctions. We conclude with two numerical observations about the structure of flat bands.

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来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.