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

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• Electronic Properties of Disordered Two-Dimensional Carbon
• Size, Shape and Low Energy Electronic Structure of Carbon Nanotubes
• Observation of zigzag and armchair edges of graphite using scanning tunneling microscopy and spectroscopy
• Scanning tunneling microscopy and spectroscopy studies of graphite edges
• Stabilization mechanism of edge states in graphene
• Local Energy Gap in Deformed Carbon Nanotubes
• Controlling edge states of zigzag carbon nanotubes by the Aharonov-Bohm flux

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• Soliton Trap in Strained Graphene Nanoribbons
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• Polarization Dependence of Raman Spectra in Strained Graphene
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• Interface Dark Excitons at Sharp Lateral Two-Dimensional Heterostructures
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