
arXiv: 1107.0143
We consider noninteracting fermions on the honeycomb lattice in the presence of a magnetic vortex superlattice. It is shown that depending on the superlattice periodicity, a gap may open at zero energy. We derive an expression of the gap in the small-flux limit but the main qualitative features are found to be valid for arbitrary fluxes. This study provides an original example of a metal-insulator transition induced by a strongly modulated magnetic field in graphene. At the same time our results directly apply to Kitaev's honeycomb model in a vortex superlattice.
5 pages, 3 figures, published version
Condensed Matter - Strongly Correlated Electrons, Quantum Physics, Strongly Correlated Electrons (cond-mat.str-el), FOS: Physical sciences, Quantum Physics (quant-ph)
Condensed Matter - Strongly Correlated Electrons, Quantum Physics, Strongly Correlated Electrons (cond-mat.str-el), FOS: Physical sciences, Quantum Physics (quant-ph)
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