Dirac cones for graph models of multilayer AA-stacked graphene sheets-Reference-Cited by-同舟云学术

Dirac cones for graph models of multilayer AA-stacked graphene sheets

Published:2021-02-15 Issue:4 Volume:76 Page:371-384
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

de Oliveira César R.¹^ORCID,Rocha Vinícius L.¹^ORCID

Affiliation:

1. Departamento de Matemática , UFSCar , São Carlos , SP , 13560-970 Brazil

Abstract

Abstract We propose an extension, of a quantum graph model for a single sheet of graphene, to multilayer AA-stacked graphene and also to a model of the bulk graphite. Spectra and Dirac cones are explicitly characterized for bilayer and trilayer graphene, as well as for graphite. For weak layer interaction (as proposed in the text), simple perturbation arguments also cover any number of layers and it mathematically recovers basic cone existences from the theoretical and experimental physics literature; its main strength is its simplicity.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2020-0330/pdf

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