Revisiting the electronic properties of dislocated graphene sheets - Archive ouverte HAL
Article Dans Une Revue Eur.Phys.J.B Année : 2023

Revisiting the electronic properties of dislocated graphene sheets

Nicolás Fernández
  • Fonction : Auteur
Mario Solís
  • Fonction : Auteur
Teofilo Vargas
  • Fonction : Auteur

Résumé

The interplay between topological defects, such as dislocations or disclinations, and the electronic degrees of freedom in graphene has been extensively studied. In the literature, for the study of this kind of problems, it is in general used either a gauge theory or a curved spatial Riemannian geometry approach, where, in the geometric case, the information about the defects is contained in the metric and the spin-connection. However, these topological defects can also be associated to a Riemann-Cartan geometry where curvature and torsion plays an important role. In this article we study the interplay between a wedge dislocations in a planar graphene sheet and the properties of its electronic degrees of freedom. Our approach relies in its relation with elasticity theory through the so called elastic-gauge, where their typical coefficients, as for example the Poisson's ratio, appear directly in the metric, and consequently also in the electronic spectrum.

Dates et versions

hal-04006148 , version 1 (27-02-2023)

Identifiants

Citer

Nicolás Fernández, Pierre Pujol, Mario Solís, Teofilo Vargas. Revisiting the electronic properties of dislocated graphene sheets. Eur.Phys.J.B, 2023, 96 (6), pp.68. ⟨10.1140/epjb/s10051-023-00542-x⟩. ⟨hal-04006148⟩
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