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VOLUME 72 (2000) | ISSUE 4 | PAGE 285
Zero modes for Dirac fermions on a sphere with fractional vortex
PACS: .40.-k, 11.15.-q, 73.61.Wp
Normalized zero-energy states are shown to emerge for massless Dirac fermions in an external gauge field that gives rise to non-quantized vortices on a sphere. A field-theory model is used to describe electronic states of a fullerene-like molecule. In particular, we predict an 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 Д-5/3 with R being the fullerene radius.