Electronic properties of bilayer sheets forming moiré patterns
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866916134259785728 |
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| author | Wu-Mei, W. S. Rey-González, R. R. |
| author_facet | Wu-Mei, W. S. Rey-González, R. R. |
| contents | In this article, we report the electronic band structures of hexagonal bilayer systems, specifically, rotated graphene-graphene and boron nitride-boron nitride bilayers, by introducing an angle between the layers and forming new periodic structures, known as moiré patterns. Using a semi-empirical tight-binding approach with a parametrized hopping parameter between the layers, using one orbital per-site approximation, and taking into account nearest-neighbor interactions only, we found he electronic dispersion relations to be around K points in a low energy approximation. Our results show that graphene bilayers exhibit zero band gap for all angles tested in this work. In boron nitride bilayers, the results reveal a tunable bandgap that satisfies the prediction of the bandgap found in one-dimensional diatomic systems presented in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_15529 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Electronic properties of bilayer sheets forming moiré patterns Wu-Mei, W. S. Rey-González, R. R. Soft Condensed Matter In this article, we report the electronic band structures of hexagonal bilayer systems, specifically, rotated graphene-graphene and boron nitride-boron nitride bilayers, by introducing an angle between the layers and forming new periodic structures, known as moiré patterns. Using a semi-empirical tight-binding approach with a parametrized hopping parameter between the layers, using one orbital per-site approximation, and taking into account nearest-neighbor interactions only, we found he electronic dispersion relations to be around K points in a low energy approximation. Our results show that graphene bilayers exhibit zero band gap for all angles tested in this work. In boron nitride bilayers, the results reveal a tunable bandgap that satisfies the prediction of the bandgap found in one-dimensional diatomic systems presented in the literature. |
| title | Electronic properties of bilayer sheets forming moiré patterns |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2103.15529 |