Trigonal quasicrystalline states in $$30^\circ$$ 30 ∘ rotated double moiré superlattices
Abstract We study the lattice configuration and electronic structure of a double moiré superlattice, which is composed of a graphene layer encapsulated by two other layers in a way such that the two hexagonal moiré patterns are arranged in a dodecagonal quasicrystalline configuration. We show that t...
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Nature Portfolio
2021
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oai:doaj.org-article:845e3f09433546f88201111cea78cf662021-12-02T15:56:50ZTrigonal quasicrystalline states in $$30^\circ$$ 30 ∘ rotated double moiré superlattices10.1038/s41598-021-91044-22045-2322https://doaj.org/article/845e3f09433546f88201111cea78cf662021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-91044-2https://doaj.org/toc/2045-2322Abstract We study the lattice configuration and electronic structure of a double moiré superlattice, which is composed of a graphene layer encapsulated by two other layers in a way such that the two hexagonal moiré patterns are arranged in a dodecagonal quasicrystalline configuration. We show that there are between 0 and 4 such configurations depending on the lattice mismatch between graphene and the encapsulating layer. We then reveal the resonant interaction, which is distinct from the conventional 2-, 3-, 4-wave mixing of moiré superlattices, that brings together and hybridizes twelve degenerate Bloch states of monolayer graphene. These states do not fully satisfy the dodecagonal quasicrystalline rotational symmetry due to the symmetry of the wave vectors involved. Instead, their wave functions exhibit trigonal quasicrystalline order, which lacks inversion symmetry, at the energies much closer to the charge neutrality point of graphene.J. A. CrossePilkyung MoonNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021) |
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Medicine R Science Q |
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Medicine R Science Q J. A. Crosse Pilkyung Moon Trigonal quasicrystalline states in $$30^\circ$$ 30 ∘ rotated double moiré superlattices |
| description |
Abstract We study the lattice configuration and electronic structure of a double moiré superlattice, which is composed of a graphene layer encapsulated by two other layers in a way such that the two hexagonal moiré patterns are arranged in a dodecagonal quasicrystalline configuration. We show that there are between 0 and 4 such configurations depending on the lattice mismatch between graphene and the encapsulating layer. We then reveal the resonant interaction, which is distinct from the conventional 2-, 3-, 4-wave mixing of moiré superlattices, that brings together and hybridizes twelve degenerate Bloch states of monolayer graphene. These states do not fully satisfy the dodecagonal quasicrystalline rotational symmetry due to the symmetry of the wave vectors involved. Instead, their wave functions exhibit trigonal quasicrystalline order, which lacks inversion symmetry, at the energies much closer to the charge neutrality point of graphene. |
| format |
article |
| author |
J. A. Crosse Pilkyung Moon |
| author_facet |
J. A. Crosse Pilkyung Moon |
| author_sort |
J. A. Crosse |
| title |
Trigonal quasicrystalline states in $$30^\circ$$ 30 ∘ rotated double moiré superlattices |
| title_short |
Trigonal quasicrystalline states in $$30^\circ$$ 30 ∘ rotated double moiré superlattices |
| title_full |
Trigonal quasicrystalline states in $$30^\circ$$ 30 ∘ rotated double moiré superlattices |
| title_fullStr |
Trigonal quasicrystalline states in $$30^\circ$$ 30 ∘ rotated double moiré superlattices |
| title_full_unstemmed |
Trigonal quasicrystalline states in $$30^\circ$$ 30 ∘ rotated double moiré superlattices |
| title_sort |
trigonal quasicrystalline states in $$30^\circ$$ 30 ∘ rotated double moiré superlattices |
| publisher |
Nature Portfolio |
| publishDate |
2021 |
| url |
https://doaj.org/article/845e3f09433546f88201111cea78cf66 |
| work_keys_str_mv |
AT jacrosse trigonalquasicrystallinestatesin30circ30rotateddoublemoiresuperlattices AT pilkyungmoon trigonalquasicrystallinestatesin30circ30rotateddoublemoiresuperlattices |
| _version_ |
1718385400935874560 |