Theory of optical transitions in graphene nanoribbons

Abstract

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 ($\Delta n=\pm 1$), 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.

11 pages, 7 figures

References in corpus (7)

• Energy Gaps in Graphene Nanoribbons
• Etching and Narrowing of Graphene from the Edges
• Kohn Anomalies in Graphene Nanoribbons
• Theory of Electro-Optical Properties of Graphene Nanoribbons
• Identifying the Orientation of Edge of Graphene Using G Band Raman Spectra
• Electron Wave Function in Armchair Graphene Nanoribbons
• Berry's Phase for Standing Wave Near Graphene Edge

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• Optical selection rules of zigzag graphene nanoribbons
• Theory of intraband plasmons in doped carbon nanotubes: rolled surface-plasmons of graphene
• Hidden correlation between absorption peaks in achiral carbon nanotubes and nanoribbons
• Coherent radial breathing like phonons in graphene nanoribbons
• Graphene through the looking glass of QFT
• Theory of a Carbon-Nanotube Polarization Switch
• Coherent control of current injection in zigzag graphene nanoribbons
• Extended high-harmonic spectra through cascade resonance in confined quantum systems
• First-principles study of the terahertz third-order nonlinear response of metallic armchair graphene nanoribbons
• Pseudospin for Raman D Band in Armchair Graphene Nanoribbons
• Quantum Size Effects in the Terahertz Nonlinear Response of Metallic Armchair Graphene Nanoribbons
• Exciton absorption spectra in narrow armchair graphene nanoribbons in electric fields
• Layered Dynamical Conductivity for a Transfer Matrix Method -- Application to an N-layer Graphene
• Exciton absorption in narrow armchair graphene nanoribbons
• Terahertz Generation and Amplification in Graphene Nanoribbons in Multi-frequency Electric Fields
• Multiphoton absorption and Rabi oscillations in armchair graphene nanoribbons
• Optical Properties of Graphene in Magnetic and Electric fields
• Transport in armchair graphene nanoribbons and in ordinary waveguides
• Stationary Two-State System in Optics using Layered Materials
• Appearance of Negative Differential Conductivity in Graphene Nanoribbons at High-Harmonics
• Decoration of graphene nanoribbons by $5d$ transition-metal elements