Abstract
Normalized zero-energy states are shown to emerge for massless Dirac fermions in an external gauge field that gives rise to nonquantized vortices on a sphere. A field-theory model is used to describe electronic states of a fullerene-like molecule. In particular, we predict the existence of exactly one zero-energy mode due to a disclination. For 60° disclination, the normalized electron density at zero energy is found to behave as R −5/3, with R being the fullerene radius.
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