Gauge field for edge state in graphene

Abstract

By considering the continuous model for graphene, we analytically study a special gauge field for the edge state. The gauge field explains the properties of the edge state such as the existence only on the zigzag edge, the partial appearance in the $k$-space, and the energy position around the Fermi energy. It is demonstrated utilizing the gauge field that the edge state is robust for surface reconstruction, and the next nearest-neighbor interaction which breaks the particle-hole symmetry stabilizes the edge state.

9 pages, 5 figures

References in corpus (2)

• Stabilization mechanism of edge states in graphene
• Controlling edge states of zigzag carbon nanotubes by the Aharonov-Bohm flux

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• Theory of superconductivity of carbon nanotubes and graphene
• Chirality dependent frequency shift of radial breathing mode in metallic carbon nanotubes
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• Excitonic Effects in the Optical Spectra of Graphene Nanoribbons
• Aharanov-Bohm effect for the edge states of zigzag carbon nanotubes