Analytical Study of Electronic Structure in Armchair Graphene Nanoribbons
By Huaixiu Zheng, Zhengfei Wang, Tao Luo, Q. Shi, Jie Chen. 2006
281 citations recorded by the source corpus.
We present the analytical solution of the wave function and energy dispersion of armchair graphene nanoribbons (GNRs) based on the tight-binding approximation. By imposing the hard-wall boundary condition, we find that the wave vector in the confined direction is discretized. This discrete wave vector serves as the index of different subbands. Our analytical solutions of wave function and associated energy dispersion reproduce the results of numerical tight-binding and the solutions based on the $\mathbf{k}∙\mathbf{p}$ approximation. In addition, we also find that all armchair GNRs with edge deformation have energy gaps, which agrees with recently reported first-principles calculations.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/4a0e6b0d8514cfd4800d0059505cabb075c3ff92
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In Atomic and Molecular Physics, and Optics
In Materials Chemistry
Citations in the corpus
- Charge transport in disordered graphene-based low dimensional materials (2008, background): “Furthermore, it has been shown that edge deformations [34, 35] and strain [70, 71] signifi cantly change the band gap of armchair GNRs, turning metallic ribbons into semiconducting ones, even when calculated with the N-N tight-binding model.”