Journal
PHYSICAL REVIEW LETTERS
Volume 100, Issue 15, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.100.156806
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Funding
- Austrian Science Fund (FWF) [W1210] Funding Source: Austrian Science Fund (FWF)
- EPSRC [EP/E019692/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/E019692/1] Funding Source: researchfish
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At half filling, the electronic structure of graphene can be modeled 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 nonreal Higgs field with nontrivial vorticity. This provides a natural setting for fractionally charged vortices with localized zero modes. For fullerenelike 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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