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arXiv · 1008.4653

Topological aspect of graphene physics

Yasuhiro Hatsugai
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Abstract

Topological aspects of graphene are reviewed focusing on the massless Dirac fermions with/without magnetic field. Doubled Dirac cones of graphene are topologically protected by the chiral symmetry. The quantum Hall effect of the graphene is described by the Berry connection of a manybody state by the filled Landau levels which naturally possesses non-Abelian gauge structures. A generic principle of the topologically non trivial states as the bulk-edge correspondence is applied for graphene with/without magnetic field and explain some of the characteristic boundary phenomena of graphene.

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Yasuhiro Hatsugai. 2010-08-27. Topological aspect of graphene physics. https://doi.org/10.1088/1742-6596/334/1/012004

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