Theory of superconductivity of carbon nanotubes and graphene

Abstract

We present a new mechanism of carbon nanotube superconductivity that originates from edge states which are specific to graphene. Using on-site and boundary deformation potentials which do not cause bulk superconductivity, we obtain an appreciable transition temperature for the edge state. As a consequence, a metallic zigzag carbon nanotube having open boundaries can be regarded as a natural superconductor/normal metal/superconductor junction system, in which superconducting states are developed locally at both ends of the nanotube and a normal metal exists in the middle. In this case, a signal of the edge state superconductivity appears as the Josephson current which is sensitive to the length of a nanotube and the position of the Fermi energy. Such a dependence distinguishs edge state superconductivity from bulk superconductivity.

5 pages, 2 figures

References in corpus (4)

• Stabilization mechanism of edge states in graphene
• Gauge field for edge state in graphene
• Controlling edge states of zigzag carbon nanotubes by the Aharonov-Bohm flux
• Singlet superconductivity phase in carbon nanotubes

Cited by in corpus (9)

• Edge states in Graphene: from gapped flat band to gapless chiral modes
• Tight--binding description of the quasiparticle dispersion of graphite and few--layer graphene
• Andreev reflection in graphene nanoribbons
• Local density of states at zigzag edge of carbon nanotubes and graphene
• Magnetism as a mass term of the edge states in graphene
• Hamiltonian decomposition for bulk and surface states
• Aharanov-Bohm effect for the edge states of zigzag carbon nanotubes
• Quantum Holonomies in Graphene Wormholes
• Solitons and spin transport in graphene boundary