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Type: Journal article
Title: Phase diagrams of the metallic zigzag carbon nanotube
Author: Bunder, J.
Lin, H.
Citation: Physical Review B: Condensed Matter and Materials Physics, 2008; 78(3):1-15
Publisher: American Physical Soc
Issue Date: 2008
ISSN: 1098-0121
Statement of
J. E. Bunder and Hsiu-Hau Lin
Abstract: We investigate a metallic zigzag carbon nanotube by means of a Hubbard model, which includes both on-site and nearest-neighbor 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 coexist. 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.
Rights: © 2008 The American Physical Society
DOI: 10.1103/PhysRevB.78.035401
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Mathematical Sciences publications

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