A Stable Pfaffian State in Bilayer Graphene

Details A Stable Pfaffian State in Bilayer Graphene A Stable Pfaffian State in Bilayer Graphene

2011-04-11

arxiv.org/abs/1104.2020v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

Here we show that the Pfaffian state proposed for the $\frac52$ fractional quantum Hall states in conventional two-dimensional electron systems can be readily realized in a bilayer graphene at one of the Landau levels. The properties and stability of the Pfaffian state at this special Landau level strongly depend on the magnetic field strength. The graphene system shows a transition from the incompressible to a compressible state with increasing magnetic field. At a finite magnetic field of ~10 Tesla, the Pfaffian state in bilayer graphene becomes more stable than its counterpart in conventional electron systems.

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