Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-10-03
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.
Pachos Jiannis K.
Stone Michael
Temme Kristan
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