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

被引：2

作者：

Becker, Simon ^{[1
]}

Humbert, Tristan ^{[2
]}

Zworski, Maciej ^{[2
]}

机构：

[1] Swiss Fed Inst Technol, Inst Math Res, CH-8092 Zurich, Switzerland

[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

ANNALES HENRI POINCARE | 2025年 / 26卷 / 08期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s00023-024-01478-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：2827 / 2857

页数：31

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