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Dimerization and energy-level structures in fullerene tubules investigated with an electron-phonon model

1992/08/26 by Kikuo Harigaya, Mitsutaka Fujita
Chemistry · Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Fullerene Chemistry and Applications #Graphene research and applications #cond-mat

paper · pdf · doi:10.1016/0379-6779(93)90102-3

published as Synthetic Metals 55-57 (1993) 3196-3201 · (proceedings of the International Conference on Science and Technology of Synthetic Metals 1992, to be published in "Synthetic Metals")

arxiv created 1992/08/26 · openalex publication_date 1993/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Possible dimerization patterns and electronic structures in fullerene tubules as the π-conjugated systems are studied with the extended Su-Schrieffer- Heeger model. We assume various lattice geometries, including helical and nonhelical tubules, and tubules with end caps. The model is solved for the half-filling case of π-electrons. (1) When the undimerized systems do not have a gap, the Kekulé structures tend to occur. These structures are commensurate with the boundary condition in the direction perpendicular to the tubular axis. The energy gap is of the order of the room temperatures at most. Thus, the nearly metallic properties would be expected. (2) If the undimerized systems have a large gap (∼ 1eV), the most stable structures are the chain-like distortions where the direction of the arranged \sl trans-polyacetylene chains is along almost the tubular axis. When we try to obtain the Kekulé structures, the mismatch of the boundary condition occurs and they are energetically unfavorable. The electronic structures are of semiconductors due to the large gap.

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