Unconventional fractional quantum Hall effect in monolayer and bilayer graphene

• Main Authors: Janusz Jacak, Lucjan Jacak
• Format: Article
• Language: English
• Published: Taylor & Francis Group 2016-01-01
• Series: Science and Technology of Advanced Materials
• Subjects: monolayer graphene; bilayer graphene; fqhe; hierarchy of filling fractions
• Online Access: http://dx.doi.org/10.1080/14686996.2016.1145531

The commensurability condition is applied to determine the hierarchy of fractional fillings of Landau levels in monolayer and in bilayer graphene. The filling rates for fractional quantum Hall effect (FQHE) in graphene are found in the first three Landau levels in one-to-one agreement with the experimental data. The presence of even denominator filling fractions in the hierarchy for FQHE in bilayer graphene is explained. Experimentally observed hierarchy of FQHE in the first and second Landau levels in monolayer graphene and in the zeroth Landau level in bilayer graphene is beyond the conventional composite fermion interpretation but fits to the presented nonlocal topology commensurability condition.