Fractional Chern insulator states in twisted bilayer graphene: An analytical approach
Patrick J. Ledwith, Grigory Tarnopolsky, Eslam Khalaf, Ashvin Vishwanath
Abstract
This work shows that the character of the narrow band wave functions in twisted bilayer graphene favor the formation of fractional Quantum Hall states even in the absence of a magnetic field. The authors trace the features of magic angle bands to a holomorphic property of the tractable chiral limit which also allows for mapping to a Dirac particle in an inhomogeneous magnetic field and the explicit construction of Laughlin like ground states.
Topics & Concepts
PhysicsBilayer grapheneCondensed matter physicsMagnetic fieldInsulator (electricity)Quantum Hall effectQuantum mechanicsBilayerFractional quantum Hall effectWave functionTopological quantum computerDirac (video compression format)Landau quantizationQuantumTopological insulatorLimit (mathematics)Field (mathematics)Quantization (signal processing)Electronic band structureMagic angleQuantum field theoryCharacter (mathematics)Gapless playbackAnomaly (physics)Holomorphic functionTopological Materials and PhenomenaGraphene research and applicationsQuantum and electron transport phenomena