Twisted Graphene Bilayers and Quasicrystals: A Cut and Projection Approach
In this work, a modified version of the cut and projection approach is proposed to describe the structure of graphene bilayers with twist angles. With this method, the rotation between two graphene layers is viewed as a rotation of the projection space and the resulting projected structure is interp...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-10-01
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| Series: | Crystals |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-4352/9/10/519 |
| _version_ | 1798005371923595264 |
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| author | José L. Aragón Gerardo G. Naumis Alfredo Gómez-Rodríguez |
| author_facet | José L. Aragón Gerardo G. Naumis Alfredo Gómez-Rodríguez |
| author_sort | José L. Aragón |
| collection | DOAJ |
| description | In this work, a modified version of the cut and projection approach is proposed to describe the structure of graphene bilayers with twist angles. With this method, the rotation between two graphene layers is viewed as a rotation of the projection space and the resulting projected structure is interpreted as the set of points of best fit between the two rotated structures. Additionally, focus is given to the pertinence of the many algebraic and geometric tools used in grain boundaries and in quasicrystals to graphene bilayer system (or any other bilayer system, for that matter) case. |
| first_indexed | 2024-04-11T12:38:09Z |
| format | Article |
| id | doaj.art-b94ee224d2484113abc168d81cb7f1c4 |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-04-11T12:38:09Z |
| publishDate | 2019-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-b94ee224d2484113abc168d81cb7f1c42022-12-22T04:23:34ZengMDPI AGCrystals2073-43522019-10-0191051910.3390/cryst9100519cryst9100519Twisted Graphene Bilayers and Quasicrystals: A Cut and Projection ApproachJosé L. Aragón0Gerardo G. Naumis1Alfredo Gómez-Rodríguez2Depto. de Nanotecnología, Centro de Física Aplicada y Tecnología Avanzada, Universidad Nacional Autónoma de México, Boulevard Juriquilla 3001, 76230 Querétaro, MexicoDepto. de Sistemas Complejos, Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 Ciudad de México, MexicoDepto. de Materia Condensada, Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 Ciudad de México, MexicoIn this work, a modified version of the cut and projection approach is proposed to describe the structure of graphene bilayers with twist angles. With this method, the rotation between two graphene layers is viewed as a rotation of the projection space and the resulting projected structure is interpreted as the set of points of best fit between the two rotated structures. Additionally, focus is given to the pertinence of the many algebraic and geometric tools used in grain boundaries and in quasicrystals to graphene bilayer system (or any other bilayer system, for that matter) case.https://www.mdpi.com/2073-4352/9/10/519graphene bilayerstwist grain boundariescoincidence site latticesquasicrystalscut and projection method |
| spellingShingle | José L. Aragón Gerardo G. Naumis Alfredo Gómez-Rodríguez Twisted Graphene Bilayers and Quasicrystals: A Cut and Projection Approach Crystals graphene bilayers twist grain boundaries coincidence site lattices quasicrystals cut and projection method |
| title | Twisted Graphene Bilayers and Quasicrystals: A Cut and Projection Approach |
| title_full | Twisted Graphene Bilayers and Quasicrystals: A Cut and Projection Approach |
| title_fullStr | Twisted Graphene Bilayers and Quasicrystals: A Cut and Projection Approach |
| title_full_unstemmed | Twisted Graphene Bilayers and Quasicrystals: A Cut and Projection Approach |
| title_short | Twisted Graphene Bilayers and Quasicrystals: A Cut and Projection Approach |
| title_sort | twisted graphene bilayers and quasicrystals a cut and projection approach |
| topic | graphene bilayers twist grain boundaries coincidence site lattices quasicrystals cut and projection method |
| url | https://www.mdpi.com/2073-4352/9/10/519 |
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