Abstract
The symmetry labeling of all electron bands in graphene obtained by combining numerical band calculations and analytical analysis based on group theory is presented. The latter is performed both in the framework of the (nearly) free electron model, or in the framework of the tight-binding model. The predictions about relative positions of the bands which can be made on the basis of each of the models just using the group theory (and additional simple qualitative arguments, if necessary) are complimentary.
| Original language | English |
|---|---|
| Article number | 2000504 |
| Journal | Physica Status Solidi (B): Basic Research |
| Volume | 258 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2021 |
Bibliographical note
Publisher Copyright:© 2020 Wiley-VCH GmbH
Funding
The work on this article started during E.K.'s visit to Max‐Planck‐Institut für Physik komplexer Systeme in December 2019 and January 2020. E.K. cordially thanks the Institute for the hospitality extended to him during that and all his previous visits. V.M.S. acknowledges support from the Project of the Basque Government for consolidated groups of the Basque University, through the Department of Universities (Q‐NANOFOT IT1164‐19) and from the Spanish Ministry of Science and Innovation (grant no. PID2019–105488GB–I00). The authors are grateful to G. J. Ferreira, G. G. Naumis, and R.‐J. Slager for bringing our attention to their articles.
| Funders | Funder number |
|---|---|
| Department of Universities | Q‐NANOFOT IT1164‐19 |
| Eusko Jaurlaritza | |
| Ministerio de Ciencia e Innovación | PID2019–105488GB–I00 |
| Baise University |
Keywords
- band calculations
- graphene
- group theory
- image states
- tight-binding approximation
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