The electronic spectrum of fullerenes from the Dirac equation. (English) Zbl 0992.82512
Summary: The electronic spectrum of sheets of graphite (plane honeycomb lattice) folded into regular polyhedra is studied. A continuum limit valid for sufficiently large molecules and based on the 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.
MSC:
| 82D99 | Applications of statistical mechanics to specific types of physical systems |
| 81V55 | Molecular physics |
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