Defect bound states in the continuum of bilayer electronic materials without symmetry protection
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916569124175872 |
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| author | Massatt, Daniel Shipman, Stephen P. Vekhter, Ilya Wilson, Justin H. |
| author_facet | Massatt, Daniel Shipman, Stephen P. Vekhter, Ilya Wilson, Justin H. |
| contents | 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. Inclusion of trigonal warping and higher-order hoppings broaden the bound states into long-lived resonances. This discovery provides a pathway to previously unexplored approaches in defect and band-structure engineering. We conclude with a proposed protocol for observing these states in scanning tunneling microscopy experiments. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_16844 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Defect bound states in the continuum of bilayer electronic materials without symmetry protection Massatt, Daniel Shipman, Stephen P. Vekhter, Ilya Wilson, Justin H. Mesoscale and Nanoscale Physics Materials Science Spectral Theory 81Q10 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. Inclusion of trigonal warping and higher-order hoppings broaden the bound states into long-lived resonances. This discovery provides a pathway to previously unexplored approaches in defect and band-structure engineering. We conclude with a proposed protocol for observing these states in scanning tunneling microscopy experiments. |
| title | Defect bound states in the continuum of bilayer electronic materials without symmetry protection |
| topic | Mesoscale and Nanoscale Physics Materials Science Spectral Theory 81Q10 |
| url | https://arxiv.org/abs/2312.16844 |