Composite-fermion pairing at half-filled and quarter-filled lowest Landau level
Anirban Sharma, Ajit C. Balram, J. K. Jain
Abstract
The physical origin of the fractional quantum Hall effect at the half-filled lowest Landau level in wide quantum wells has remained a puzzle since its discovery three decades ago. This work presents quantitative calculations supporting the formation of a $p$-wave topological ``superconductor'' of composite fermions (CFs) here. CFs are predicted to form $f$-wave pairs at the quarter-filled Landau level in wide quantum wells. CF pairing is thus seen as the principal mechanism underlying the even-denominator fractional quantum Hall effect.
Topics & Concepts
Composite fermionPairingLandau quantizationQuantum Hall effectFractional quantum Hall effectCondensed matter physicsPhysicsFermionQuantumQuarter (Canadian coin)SuperconductivityQuantum mechanicsQuantum spin Hall effectElectronGeographyArchaeologyQuantum and electron transport phenomenaGraphene research and applicationsTopological Materials and Phenomena