Graphene with geometrically induced vorticity

Details Graphene with geometrically induced vorticity Graphene with geometrically induced vorticity

2007-10-03

arxiv.org/abs/0710.0858v3

Phys. Rev. Lett. 100, 156806 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures, to appear in PRL

Scientific paper

10.1103/PhysRevLett.100.156806

At half filling, the electronic structure of graphene can be modelled by a pair of free two-dimensional Dirac fermions. We explicitly demonstrate that in the presence of a geometrically induced gauge field, an everywhere-real Kekule modulation of the hopping matrix elements can correspond to a non-real Higgs field with non-trivial vorticity. This provides a natural setting for fractionally charged vortices with localized zero modes. For fullerene-like molecules we employ the index theorem to demonstrate the existence of six low-lying states that do not depend strongly on the Kekule-induced mass gap.

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