Hierarchy of fillings for FQHE in monolayer and in bilayer graphene: Explanation of $\nu =-\frac{1}{2}$ fractional quantum Hall state in bilayer graphene

Janusz Jacak, Lucjan Jacak

The commensurability condition is applied to determine the hierarchy of fractional fillings of Landau levels in monolayer and bilayer graphene. The filling rates for FQHE in graphe…