Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-02-29
Phys. Rev. B vol 77, 075433 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
8 pages, 6 figures
Scientific paper
10.1103/PhysRevB.77.075433
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.
Park Sunghun
Sim Hyung-Seok
No associations
LandOfFree
Magnetic edge states in graphene in nonuniform magnetic fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Magnetic edge states in graphene in nonuniform magnetic fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Magnetic edge states in graphene in nonuniform magnetic fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-352936