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On the Coulomb interaction in chiral-invariant one-dimensional electron systems

S. Bellucci·J. Gonzalez
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Abstract

We consider a one-dimensional electron system, suitable for the description of the electronic correlations in a metallic carbon nanotube. Renormalization group methods are used to study the low-energy behavior of the unscreened Coulomb interaction between currents of well-defined chirality. In the limit of a very large number n of subbands we find a strong renormalization of the Fermi velocity, reminiscent of a similar phenomenon in the graphite sheet. For small n or sufficiently low energy, the Luttinger liquid behavior takes over, with a strong wavefunction renormalization leading to a vanishing quasiparticle weight. Our approach is appropriate to study the crossover from two-dimensional to one-dimensional behavior in carbon nanotubes of large radius.

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S. Bellucci, J. Gonzalez. 1999-03-01. On the Coulomb interaction in chiral-invariant one-dimensional electron systems. https://doi.org/10.1007/s100510070070

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