Dirac fermions in armchair graphene nanoribbons trapped by electric quantum dots

0559787 - ÚJF 2023 RIV US eng J - Journal Article
Jakubský, Vít - Kuru, S. - Negro, J.
Dirac fermions in armchair graphene nanoribbons trapped by electric quantum dots.
Physical Review B. Roč. 105, č. 16 (2022), č. článku 165404. ISSN 2469-9950. E-ISSN 2469-9969
R&D Projects: GA ČR GA19-07117S
Institutional support: RVO:61389005
Keywords : Dirac fermions * armchair graphene nanoribbons
OECD category: Condensed matter physics (including formerly solid state physics, supercond.)
Impact factor: 3.7, year: 2022
Method of publishing: Limited access
https://doi.org/10.1103/PhysRevB.105.165404

We study the confinement of Dirac fermions in armchair graphene nanoribbons by means of electrostatic quantum dots. We provide an analytically feasible model where some bound states can be found explicitly. We show that the energies of these bound states belong either to the gap of valence and conducting bands or they represent bound states in the continuum whose energies are embedded in the continuous spectrum. The solutions satisfying armchair boundary conditions are found in an elegant manner with the use of specific projection operators.
Permanent Link: https://hdl.handle.net/11104/0332988