Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-02-18
Solid State Comm. 149, 1056 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
6 pages, 1 figure; review article for Solid State Comm. (Graphene Week 2008)
Scientific paper
10.1016/j.ssc.2009.02.050
Due to its fourfold spin-valley degeneracy, graphene in a strong magnetic field may be viewed as a four-component quantum Hall system. We investigate the consequences of this particular structure on a possible, yet unobserved, fractional quantum Hall effect in graphene within a trial-wavefunction approach and exact-diagonalisation calculations. This trial-wavefunction approach generalises an original idea by Halperin to account for the SU(2) spin in semiconductor heterostructures with a relatively weak Zeeman effect. Whereas the four-component structure at a filling factor nu=1/3 adds simply a SU(4)-ferromagnetic spinor ordering to the otherwise unaltered Laughlin state, the system favours a valley-unpolarised state at nu=2/5 and a completely unpolarised state at nu=4/9. Due to the similar behaviour of the interaction potential in the zero-energy graphene Landau level and the first excited one, we expect these states to be present in both levels.
Goerbig Mark O.
Papić Zlatko
Regnault Nicolas
No associations
LandOfFree
Theoretical expectations for a fractional quantum Hall effect in graphene 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 Theoretical expectations for a fractional quantum Hall effect in graphene, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Theoretical expectations for a fractional quantum Hall effect in graphene will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-259256