Correlation Effects of Single-Wall Carbon Nanotubes in Weak Coupling

Abstract

Single-wall carbon nanotubes with on-site interaction $U\ll t$ are studied by a controlled renormalization group method. When formulated as a system of $N_f$ flavors of interacting Dirac fermions, the effective model at generic filling resembles a set of quasi-1D Hubbard chains. For the undoped $(N_y,N_y)$-armchair and the $(N_x,-N_x)$-zigzag with $N_x=3n$, specific mappings to the 2-chain Hubbard model at half filling with effective interaction $u_{eff}=U/N_y$ and $2U/N_x$ are found from this more general equivalence. The phase diagrams of the (3, 3)-armchair and the (6, -6)-zigzag at generic fillings are studied and compared as an example.

9 pages, 5 figures, title changed

References in corpus (3)

• Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
• Temperature Dependent Resistivity of Single Wall Carbon Nanotubes
• The N-chain Hubbard Model in Weak Coupling

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