Phase diagrams of the metallic zigzag carbon nanotube

dc.creatorBunder, J. E.
dc.creatorLin, Hsiu-Hau
dc.date2008-03-21
dc.date2008-07-02
dc.date.accessioned2026-07-07T09:47:48Z
dc.date.available2026-07-07T09:47:48Z
dc.descriptionWe investigate a metallic zigzag carbon nanotube by means of a Hubbard model which includes both on-site and nearest neighbour interactions. Assuming weak interactions, a renormalization group analysis of the equivalent two-leg ladder followed by bosonization and refermionization results in a Gross-Neveu model with an enlarged symmetry relative to the original Hamiltonian. For the undoped case the symmetry of the Gross-Neveu model is SO(8), but for the doped case the particle-hole symmetry is broken and the symmetry reduces to SO(6). Four ground state phases are found in the undoped carbon nanotube with repulsive interactions, a d-wave Mott insulator, an s-wave Mott insulator, a p-density wave and a charge density wave. The doped case has two ground state phases, a d-wave superconductor and a phase where a p-density wave and a charge density wave co-exist. We also explore the global phase diagram with a general interaction profile and find several additional states, including a chiral current phase where current flows around the nanotube along the zigzag bonds.
dc.description16 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/0803.3107
dc.identifierhttp://arxiv.org/abs/0803.3107
dc.identifierPRB, Vol.78, No.3, 035401 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.035401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163978
dc.subjectStrongly Correlated Electrons
dc.titlePhase diagrams of the metallic zigzag carbon nanotube
dc.typetext

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