Electronic properties of curved few-layers graphene : a geometrical approach.
We show the presence of non-relativistic Lévy-Leblond fermions in flat three- and four-layers graphene with AB stacking, extending the results obtained in Cariglia et al. 2017 for bilayer graphene. When the layer is curved we obtain a set of equations for Galilean fermions that are a variation of th...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2018 |
| Country: | Brasil |
| Institution: | Universidade Federal de Ouro Preto (UFOP) |
| Repository: | Repositório Institucional da UFOP |
| Language: | English |
| OAI Identifier: | oai:repositorio.ufop.br:123456789/10471 |
| Online Access: | http://www.repositorio.ufop.br/handle/123456789/10471 |
| Access Level: | Open access |
| Keyword: | Lévy-Leblond equations Non-relativistic fermions Eisenhart lift Curved systems |
| Summary: | We show the presence of non-relativistic Lévy-Leblond fermions in flat three- and four-layers graphene with AB stacking, extending the results obtained in Cariglia et al. 2017 for bilayer graphene. When the layer is curved we obtain a set of equations for Galilean fermions that are a variation of those of Lévy-Leblond with a well defined combination of pseudospin, and that admit Lévy-Leblond spinors as solutions in an approriate limit. The local energy of such Galilean fermions is sensitive to the intrinsic curvature of the surface. We discuss the relationship between two-dimensional pseudospin, labelling layer degrees of freedom, and the different energy bands. For Lévy-Leblond fermions, an interpretation is given in terms of massless fermions in an effective 4D spacetime, and in this case the pseudospin is related to four dimensional chirality. A non-zero energy band gap between conduction and valence electronic bands is obtained for surfaces with positive curvature. |
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