Fractional Quantum Hall Effect with Unconventional Pairing in Monolayer Graphene
Anirban Sharma, Songyang Pu, Ajit C. Balram, J. K. Jain
Abstract
Motivated by the observation of even denominator fractional quantum Hall effect in the n=3 Landau level of monolayer graphene [Kim et al., Nat. Phys. 15, 154 (2019)NPAHAX1745-247310.1038/s41567-018-0355-x], we consider a Bardeen-Cooper-Schrieffer variational state for composite fermions and find that the composite-fermion Fermi sea in this Landau level is unstable to an f-wave pairing. Analogous calculation suggests the possibility of a p-wave pairing of composite fermions at half filling in the n=2 graphene Landau level, whereas no pairing instability is found at half filling in the n=0 and n=1 graphene Landau levels. The relevance of these results to experiments is discussed.
Topics & Concepts
Composite fermionPairingLandau quantizationGraphenePhysicsQuantum Hall effectCondensed matter physicsFractional quantum Hall effectFermionMonolayerQuantum mechanicsShubnikov–de Haas effectFermi energyQuantum spin Hall effectQuantum oscillationsFermi surfaceElectronMaterials scienceNanotechnologySuperconductivityQuantum and electron transport phenomenaGraphene research and applicationsQuantum Information and Cryptography