4.3 Article

Symmetry of Electron Bands in Graphene: (Nearly) Free Electron Versus Tight-Binding

Journal

Publisher

WILEY-V C H VERLAG GMBH
DOI: 10.1002/pssb.202000504

Keywords

band calculations; graphene; group theory; image states; tight‐ binding approximation

Funding

  1. Project of the Basque Government for consolidated groups of the Basque University, through the Department of Universities [Q-NANOFOT IT1164-19]
  2. Spanish Ministry of Science and Innovation [PID2019-105488GB-I00]

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The paper presents the symmetry labeling of all electron bands in graphene obtained by combining numerical band calculations and analytical analysis based on group theory. 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 are complimentary.
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.

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