Correlation Effects of Single-Wall Carbon Nanotubes in Weak Coupling

Details Correlation Effects of Single-Wall Carbon Nanotubes in Weak Coupling Correlation Effects of Single-Wall Carbon Nanotubes in Weak Coupling

1997-09-15

arxiv.org/abs/cond-mat/9709166v2

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 5 figures, title changed

Scientific paper

10.1103/PhysRevB.58.4963

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.

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