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Zero-energy States in Corrugated Bilayer Graphene by Katsnelson, M. I.; Prokhorova, M. F. is a scholarly article available to read on EtoBox.

What is Zero-energy States in Corrugated Bilayer Graphene about?

Anomalous quantum Hall effects in single-layer and bilayer graphene are related with nontrivial topological properties of electron states (Berry phases $\pi$ and 2$\pi$, respectively). It was known that the Atiyah-Singer index theorem guarantees, for the case of the single-layer, existence of zero-energy states for the case of inhomogeneous magnetic fields assuming that the total flux is non-zero. This leads, in particular, to appearance of midgap states in corrugated graphene and topologically protects zero-energy Landau level in corrugated single-layer graphene. Here we apply this theorem to the case of bilayer graphene and prove the existence of zero-energy modes for this case.

Author

Katsnelson, M. I.; Prokhorova, M. F.

Published

2008

Language

EN