A mathematical basis for the graphene
Date
2020
Type:
Article
item.page.extent
33 p.
item.page.accessRights
Authors
item.contributor.advisor
ORCID:
Journal Title
Journal ISSN
Volume Title
Publisher
item.page.isbn
item.page.issn
item.page.issne
item.page.doiurl
item.page.other
item.page.references
Abstract
We present a new basis of representation for the graphene honeycomb structure that facilitates the solution of the eigenvalue problem by reducing it to one dimension. We define spaces in these geometrical basis that allow us to solve the Hamiltonian in the edges of the lattice. We conclude that it is enough to analyze a one-dimensional problem in a set of coupled ordinary second-order differential equations to obtain the behavior of the solutions in the whole graphene structure
Description
item.page.coverage.spatial
item.page.sponsorship
Citation
Computational and Applied Mathematics 39, 19 (2020)
Keywords
Periodic solutions, Stability, General spectral theory, Spectral theory and eigenvalue problems, Graphene, Honeycomb structure