Controlling edge states of zigzag carbon nanotubes by the Aharonov-Bohm flux

Abstract

It has been known theoretically that localized states exist around zigzag edges of a graphite ribbon and of a carbon nanotube, whose energy eigenvalues are located between conduction and valence bands. We found that in metallic single-walled zigzag carbon nanotubes two of the localized states become critical, and that their localization length is sensitive to the mean curvature of a tube and can be controlled by the Aharonov-Bohm flux. The curvature induced mini-gap closes by the relatively weak magnetic field. Conductance measurement in the presence of the Aharonov-Bohm flux can give information about the curvature effect and the critical states.

5 pages, 4 figures

References in corpus (2)

• Fractional Flux Periodicity in Doped Carbon Nanotubes
• Re-parameterization Invariance in Fractional Flux Periodicity

Cited by in corpus (13)

• Stabilization mechanism of edge states in graphene
• Gauge field for edge state in graphene
• Kohn Anomalies in Graphene Nanoribbons
• Theory of superconductivity of carbon nanotubes and graphene
• Local density of states at zigzag edge of carbon nanotubes and graphene
• Valley coupling in finite-length metallic single-wall carbon nanotubes
• Berry's Phase for Standing Wave Near Graphene Edge
• Magnetism as a mass term of the edge states in graphene
• Topology and zero energy edge states in carbon nanotubes with superconducting pairing
• Hamiltonian decomposition for bulk and surface states
• Topological Phase Transition in Metallic Single-Wall Carbon Nanotube
• Electronic transport in bent carbon nanotubes
• Aharanov-Bohm effect for the edge states of zigzag carbon nanotubes