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The Electronic Spectrum of Fullerenes from the Dirac Equation

J. González·F. Guinea·M. A. H. Vozmediano
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Abstract

The electronic spectrum of sheets of graphite (plane honeycomb lattice) folded into regular polihedra is studied. A continuum limit valid for sufficiently large molecules and based on a tight binding approximation is derived. It is found that a Dirac equation describes the flat graphite lattice. Curving the lattice by insertion of odd numbered rings can be mimicked by coupling effective gauge fields. In particular the $C_{60}$ and related molecules are well described by the Dirac equation on the surface of a sphere coupled to a color monopole sitting at its center.

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J. González, F. Guinea, M. A. H. Vozmediano. 1992-08-07. The Electronic Spectrum of Fullerenes from the Dirac Equation. https://doi.org/10.1016/0550-3213(93)90009-e

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