Revisiting the electronic properties of disclinated graphene sheets

Nicolás Fernández (), Pierre Pujol (), Mario Solís () and Teófilo Vargas ()
Additional contact information
Nicolás Fernández: Universidad Nacional Mayor de San Marcos
Pierre Pujol: CNRS and Université de Toulouse, UPS
Mario Solís: Centro Atómico Bariloche, CNEA and CONICET
Teófilo Vargas: Universidad Nacional Mayor de San Marcos

The European Physical Journal B: Condensed Matter and Complex Systems, 2023, vol. 96, issue 6, 1-7

Abstract: Abstract The interplay between topological defects, such as dislocations or disclinations, and the electronic degrees of freedom in graphene have 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 with a Riemann–Cartan geometry where curvature and torsion plays an important role. In this article, we study the interplay between a wedge disclination in a planar graphene sheet and the properties of its electronic degrees of freedom. Our approach relies on 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. Graphical abstract

Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/s10051-023-00542-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:96:y:2023:i:6:d:10.1140_epjb_s10051-023-00542-x

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/s10051-023-00542-x

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().