Magnetic edge states in graphene in nonuniform magnetic fields
| dc.creator | Park, Sunghun | |
| dc.creator | Sim, H. -S. | |
| dc.date | 2008-02-29 | |
| dc.date.accessioned | 2026-07-07T09:24:03Z | |
| dc.date.available | 2026-07-07T09:24:03Z | |
| dc.description | We theoretically study electronic properties of a graphene sheet on xy plane in a spatially nonuniform magnetic field, $B = B_0 \hat{z}$ in one domain and $B = B_1 \hat{z}$ in the other domain, in the quantum Hall regime and in the low-energy limit. We find that the magnetic edge states of the Dirac fermions, formed along the boundary between the two domains, have features strongly dependent on whether $B_0$ is parallel or antiparallel to $B_1$. In the parallel case, when the Zeeman spin splitting can be ignored, the magnetic edge states originating from the $n=0$ Landau levels of the two domains have dispersionless energy levels, contrary to those from the $n \ne 0$ levels. Here, $n$ is the graphene Landau-level index. They become dispersive as the Zeeman splitting becomes finite or as an electrostatic step potential is additionally applied. In the antiparallel case, the $n=0$ magnetic edge states split into electron-like and hole-like current-carrying states. The energy gap between the electron-like and hole-like states can be created by the Zeeman splitting or by the step potential. These features are attributed to the fact that the pseudo-spin of the magnetic edge states couples to the direction of the magnetic field. We propose an Aharonov-Bohm interferometry setup in a graphene ribbon for experimental study of the magnetic edge states. | |
| dc.description | 8 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0802.4360 | |
| dc.identifier | http://arxiv.org/abs/0802.4360 | |
| dc.identifier | Phys. Rev. B vol 77, 075433 (2008) | |
| dc.identifier | doi:10.1103/PhysRevB.77.075433 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155958 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Materials Science | |
| dc.title | Magnetic edge states in graphene in nonuniform magnetic fields | |
| dc.type | text |