Local density of states at zigzag edge of carbon nanotubes and graphene

Abstract

The electron-phonon matrix element for edge states of carbon nanotubes and graphene at zigzag edges is calculated for obtaining renormalized energy dispersion of the edge states. Self-energy correction by electron-phonon interaction contributes to the energy dispersion of edge states whose energy bandwidth is similar to phonon energy. Since the energy-uncertainty of the edge state is larger than temperature, we conclude that the single-particle picture of the edge state in not appropriate when the electron-phonon interaction is taken into account. The longitudinal acoustic phonon mode contributes to the matrix element through the on-site deformation potential because the wavefunction of the edge state has an amplitude only on one of the two sublattices. The on-site deformation potentials for the longitudinal and in-plane tangential optical phonon modes are enhanced at the boundary. The results of local density of states are compared with the recent experimental data of scanning tunneling spectroscopy.

arXiv comment8 pages, 5 figures

References in corpus (10)

• Observation of zigzag and armchair edges of graphite using scanning tunneling microscopy and spectroscopy
• Electron-Phonon Scattering in Metallic Single-Walled Carbon Nanotubes
• Scanned Probe Microscopy of Electronic Transport in Carbon Nanotubes
• Scanning tunneling microscopy and spectroscopy of the electronic local density of states of graphite surfaces near monoatomic step edges
• Edge state on hydrogen-terminated graphite edges investigated by scanning tunneling microscopy
• High-Tc superconductivity in entirely end-bonded multi-walled carbon nanotubes
• Scanning tunneling microscopy and spectroscopy studies of graphite edges
• Stabilization mechanism of edge states in graphene
• Theory of superconductivity of carbon nanotubes and graphene
• Controlling edge states of zigzag carbon nanotubes by the Aharonov-Bohm flux

Cited by in corpus (15)

• Electronic properties of mesoscopic graphene structures: charge confinement and control of spin and charge transport
• Robustness of edge states in graphene quantum dots
• Effect of Holstein phonons on the electronic properties of graphene
• Edge states and enhanced spin-orbit interaction at graphene/graphane interfaces
• Chirality dependent frequency shift of radial breathing mode in metallic carbon nanotubes
• Anomalous near-field heat transfer in carbon-based nano-structures with edge states
• Magnetic field induced localization in carbon nanotubes
• Hamiltonian decomposition for bulk and surface states
• Metallic Carbon Nanotube Quantum Dots with Broken Symmetries as a Platform for Tunable Terahertz Detection
• Edge States at the Interface between Monolayer and Bilayer Graphene
• Aharanov-Bohm effect for the edge states of zigzag carbon nanotubes
• Transport properties of hybrid single-bilayer graphene interfaces in magnetic field
• Raman study on G mode of graphene for determination of edge orientation
• Edge states in a honeycomb lattice: effects of anisotropic hopping and mixed edges
• Non-equilibrium Green's function formalism for radiative heat transfer