Zero-energy states in corrugated bilayer graphene
| dc.creator | Katsnelson, M. I. | |
| dc.creator | Prokhorova, M. F. | |
| dc.date | 2008-02-11 | |
| dc.date | 2008-02-14 | |
| dc.date.accessioned | 2026-07-07T10:03:06Z | |
| dc.date.available | 2026-07-07T10:03:06Z | |
| dc.description | Anomalous quantum Hall effects in single-layer and bilayer graphene are related with nontrivial topological properties of electron states (Berry phases $π$ and 2$π$, 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. | |
| dc.description | minor changes (misprints are fixed, a bit more explanations in the mathematical part are added) | |
| dc.identifier | https://arxiv.org/abs/0802.1409 | |
| dc.identifier | http://arxiv.org/abs/0802.1409 | |
| dc.identifier | Phys. Rev. B 77, 205424 (2008) | |
| dc.identifier | doi:10.1103/PhysRevB.77.205424 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169166 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Zero-energy states in corrugated bilayer graphene | |
| dc.type | text |