Stable defect states in the continuous spectrum of bilayer graphene with magnetic field
Document Type
Article
Publication Date
12-1-2023
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.
Publication Source (Journal or Book title)
Physica D Nonlinear Phenomena
Recommended Citation
Shipman, S., & Villalobos, J. (2023). Stable defect states in the continuous spectrum of bilayer graphene with magnetic field. Physica D Nonlinear Phenomena, 455 https://doi.org/10.1016/j.physd.2023.133891
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