Trapped modes in armchair graphene nanoribbons

2019/01/13 by Vladimir Kozlov, Kozlov, V. A., С. А. Назаров +3
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.1901.04477

openalex publication_date 2019/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study scattering on an ultra-low potential in armchair graphene nanoribbon. Using the continuous Dirac model and including a couple of artificial waves in the scattering process, described by an augumented scattering matrix, we derive a condition for the existence of a trapped mode. We consider the threshold energies, where the the multiplicity of the continuous spectrum changes and show that a trapped mode may appear for energies slightly less than a threshold and its multiplicity does not exceed one. For energies which are higher than a threshold, there are no trapped modes, provided that the potential is sufficiently small.

Citations

• Impurity Scattering in Carbon Nanotubes – Absence of Back Scattering –
• The electronic properties of graphene

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