A bird’s eye view on the flat and conic band world of the honeycomb and Kagome lattices: towards an understanding of 2D metal-organic frameworks electronic structure

Cyrille Barreteau 1, * F. Ducastelle 2 T. Mallah 3
* Auteur correspondant
1 GMT - Groupe Modélisation et Théorie
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
2 LEM - ONERA - CNRS - Laboratoire d'étude des microstructures
3 ICMMO - Institut de Chimie Moléculaire et des Matériaux d'Orsay
Abstract : We present a thorough tight-binding analysis of the band structure of a wide variety of lattices belonging to the class of honeycomb and Kagome systems including several mixed forms combining both lattices. The band structure of these systems are made of a combination of dispersive and flat bands. The dispersive bands possess Dirac cones (linear dispersion) at the six corners (K points) of the Brillouin zone although in peculiar cases Dirac cones at the center of the zone ($\ gamma$ point) appear. The flat bands can be of different nature. Most of them are tangent to the dispersive bands at the center of the zone but some, for symmetry reasons, do not hybridize with other states. The objective of our work is to provide an analysis of a wide class of so-called ligand-decorated honeycomb Kagome lattices that are observed in 2D metal-organic framework (MOF) where the ligand occupy honeycomb sites and the metallic atoms the Kagome sites. We show that the $p_x$-$p_y$ graphene model is relevant in these systems and there exists four types of flat bands: Kagome flat (singly degenerate) bands, two kinds of ligand-centered flat bands (A$_2$ like and E like, respectively doubly and singly degenerate) and metal-centered (three fold degenerate) flat bands.
Keywords : Kagome flat bands Dirac cones honeycomb tight-binding metal-organic framework
Type de document :
Article dans une revue
Journal of Physics: Condensed Matter, IOP Publishing, 2017, 29, pp.465302. 〈10.1088/1361-648X/aa8fec〉
Liste complète des métadonnées

Littérature citée [41 références]  Voir  Masquer  Télécharger
https://hal-cea.archives-ouvertes.fr/cea-01633867
Contributeur : Dominique Girard <>
Soumis le : lundi 13 novembre 2017 - 14:40:12
Dernière modification le : mercredi 28 mars 2018 - 10:10:03
Document(s) archivé(s) le : mercredi 14 février 2018 - 14:29:17

Fichier

1709.07199.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

CEA | DSM-IRAMIS | IRAMIS-SPEC | INC-CNRS | UNIV-PARIS-SACLAY | CEA-DRF | ONERA | CEA-UPSAY

Citation

Cyrille Barreteau, F. Ducastelle, T. Mallah. A bird’s eye view on the flat and conic band world of the honeycomb and Kagome lattices: towards an understanding of 2D metal-organic frameworks electronic structure. Journal of Physics: Condensed Matter, IOP Publishing, 2017, 29, pp.465302. 〈10.1088/1361-648X/aa8fec〉. 〈cea-01633867〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

137

Téléchargements de fichiers

47

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD