The Electronic Spectrum of Fullerenes from the Dirac Equation

Details The Electronic Spectrum of Fullerenes from the Dirac Equation The Electronic Spectrum of Fullerenes from the Dirac Equation

1992-08-07

arxiv.org/abs/cond-mat/9208004v1

Nucl.Phys. B406 (1993) 771-794

Physics

Condensed Matter

29 pages, 7 figures. IASSNS-HEP-92/50

Scientific paper

10.1016/0550-3213(93)90009-E

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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