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arXiv · 2212.12125

Stable defect states in the continuous spectrum of bilayer graphene with magnetic field

Stephen P. Shipman·Jorge Villalobos
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Abstract

In a tight-binding model of AA-stacked bilayer graphene, it is demonstrated that a bound defect state within the region of continuous spectrum can exist stably with respect to variations in the strength of a perpendicular magnetic field. This is accomplished by creating a defect that is compatible with the interlayer coupling, thereby shielding the bound state from the effects of the continuous spectrum, which varies erratically in a pattern known as the Hofstadter butterfly.

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Stephen P. Shipman, Jorge Villalobos. 2022-12-23. Stable defect states in the continuous spectrum of bilayer graphene with magnetic field. https://arxiv.org/abs/2212.12125

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