Full analytical solution of finite-length armchair/zigzag nanoribbons

A García-Fuente, D Carrascal, G Ross, J Ferrer - Physical Review B, 2023 - APS
Finite-length armchair graphene nanoribbons can behave as one-dimensional topological
materials, that may show edge states in their zigzag-terminated edges, depending on their …

Probing the magnetism of topological end states in 5-armchair graphene nanoribbons

J Lawrence, P Brandimarte, A Berdonces-Layunta… - ACS …, 2020 - ACS Publications
We extensively characterize the electronic structure of ultranarrow graphene nanoribbons
(GNRs) with armchair edges and zigzag termini that have five carbon atoms across their …

Correlated topological states in graphene nanoribbon heterostructures

JP Joost, AP Jauho, M Bonitz - Nano Letters, 2019 - ACS Publications
Finite graphene nanoribbon (GNR) heterostructures host intriguing topological in-gap states
(Rizzo, DJ; et al. Nature 2018, 560, 204). These states may be localized either at the bulk …

Ferromagnetism in armchair graphene nanoribbon heterostructures

PA Almeida, LS Sousa, TM Schmidt, GB Martins - Physical Review B, 2022 - APS
We study the properties of flat bands that appear in a heterostructure composed of strands of
different widths of graphene armchair nanoribbons. One of the flat bands is reminiscent of …

Topologically protected edge and confined states in finite armchair graphene nanoribbons and their junctions

MP López-Sancho, MC Muñoz - Physical Review B, 2021 - APS
Topologically protected edge and junction states, previously predicted, have recently been
observed in armchair graphene nanoribbon (AGNR) heterojunctions. Here, via tight-binding …

Unveiling and manipulating hidden symmetries in graphene nanoribbons

NV Tepliakov, J Lischner, E Kaxiras, AA Mostofi… - Physical Review Letters, 2023 - APS
Armchair graphene nanoribbons are a highly promising class of semiconductors for all-
carbon nanocircuitry. Here, we present a new perspective on their electronic structure from …

Towards a rigorous proof of magnetism on the edges of graphene nanoribbons

H Karimi, I Affleck - Physical Review B—Condensed Matter and Materials …, 2012 - APS
A zigzag edge of a graphene nanoribbon supports localized zero modes, ignoring
interactions. Based mainly on mean field arguments and numerical approaches, it has been …

Correlation effects on topological end-states in finite-size graphene nanoribbons in the GW approximation

A Honet, L Henrard, V Meunier - Journal of Physics: Condensed …, 2023 - iopscience.iop.org
Finite size armchair graphene nanoribbons (GNRs) of different families are theoretically
studied using the Hubbard model in both mean-field and GW approximations, including spin …

Edge effects in bilayer graphene nanoribbons: Ab initio total-energy density functional theory calculations

MP Lima, A Fazzio, AJR da Silva - Physical Review B—Condensed Matter and …, 2009 - APS
We show that the ground state of zigzag bilayer graphene nanoribbons is nonmagnetic. It
also possesses a finite gap, which has a nonmonotonic dependence with the width as a …

Electronic states in finite graphene nanoribbons: Effect of charging and defects

M Ijäs, M Ervasti, A Uppstu, P Liljeroth… - Physical Review B …, 2013 - APS
We study the electronic structure of finite armchair graphene nanoribbons using density-
functional theory and the Hubbard model, concentrating on the states localized at the zigzag …