Theory of optical transitions in graphene nanoribbons

Details Theory of optical transitions in graphene nanoribbons Theory of optical transitions in graphene nanoribbons

2011-07-05

arxiv.org/abs/1107.0795v2

Phys. Rev. B 84, 085458 (2011)

Physics

Condensed Matter

Materials Science

11 pages, 7 figures

Scientific paper

10.1103/PhysRevB.84.085458

Matrix elements of electron-light interactions for armchair and zigzag graphene nanoribbons are constructed analytically using a tight-binding model. The changes in wavenumber ($\Delta n$) and pseudospin are the necessary elements if we are to understand the optical selection rule. It is shown that an incident light with a specific polarization and energy, induces an indirect transition ($\Delta n=\pm1$), which results in a characteristic peak in absorption spectra. Such a peak provides evidence that the electron standing wave is formed by multiple reflections at both edges of a ribbon. It is also suggested that the absorption of low-energy light is sensitive to the position of the Fermi energy, direction of light polarization, and irregularities in the edge. The effect of depolarization on the absorption peak is briefly discussed.

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