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arXiv · 0710.0858

Graphene with geometrically induced vorticity

Jiannis K. Pachos·Michael Stone·Kristan Temme
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Abstract

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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Jiannis K. Pachos, Michael Stone, Kristan Temme. 2008-03-26. Graphene with geometrically induced vorticity. https://doi.org/10.1103/physrevlett.100.156806

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