Dirac fermions in armchair graphene nanoribbons trapped by electric quantum dots

• URL: http://arxiv.org/abs/2111.10829v1
• Date: Sun, 21 Nov 2021 14:46:48 GMT
• Title: Dirac fermions in armchair graphene nanoribbons trapped by electric quantum dots
• Authors: Vit Jakubsky, Sengul Kuru, Javier Negro
• Abstract summary: We study the confinement of Dirac fermions in armchair graphene nanoribbons by means of a quantum-dot-type electrostatic potential. We find exact solutions for some bound states that satisfy appropriate boundary conditions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the confinement of Dirac fermions in armchair graphene nanoribbons by means of a quantum-dot-type electrostatic potential. With the use of specific projection operators, we find exact solutions for some bound states that satisfy appropriate boundary conditions. We show that the energies of these bound states belong either to the gap of valence and conducting bands or they represent BIC's (bound states in the continuum) whose energies are embedded in the continuous spectrum.

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