Document Type
Article
Publication Date
2-1-2025
Abstract
We analyze a class of bound defect states in the continuum electronic spectrum of bilayer materials, which emerge independent of symmetry protection or additional degrees of freedom. Taking graphene as a prototypical example, our comparative analysis of AA- and AB-stacked bilayer graphene demonstrates that these states originate from the intrinsic algebraic structure of the tight-binding Hamiltonian when trigonal warping is neglected rather than any underlying symmetry. The inclusion of trigonal warping and higher-order hoppings broadens the bound states into long-lived resonances. This discovery provides a distinct pathway to defect and band-structure engineering. We conclude with a proposed protocol for observing these states in scanning tunneling microscopy experiments.
Publication Source (Journal or Book title)
Physical Review B
Recommended Citation
Massatt, D., Shipman, S., Vekhter, I., & Wilson, J. (2025). Defect bound states in the continuum of bilayer electronic materials without symmetry protection. Physical Review B, 111 (6) https://doi.org/10.1103/PhysRevB.111.L060101