Non-Abelian fractional quantum anomalous Hall states and first Landau level physics of the second moiré band of twisted bilayer <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>MoTe</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math>
Cheong-Eung Ahn, Wonjun Lee, Kunihiro Yananose, Youngwook Kim, Gil Young Cho
Abstract
The authors report here the discovery of a realistic platform for emerging non-Abelian fractional quantum anomalous Hall states. This is the second moir\'e band in 2-degree twisted bilayer MoTe${}_{2}$. They elucidate the theoretical foundation behind this by demonstrating the resemblance of the second moir\'e band to the first Landau level, using Haldane pseudopotentials and Fubini-Study metric. A surprising similarity is revealed between the sequence of moir\'e bands in the twisted bilayer MoTe${}_{2}$ and Landau levels beyond a particular moir\'e band.
Topics & Concepts
Quantum Hall effectChatterjeeCondensed matter physicsPhysicsAbelian groupLandau quantizationBilayerQuantum dotQuantum mechanicsMathematicsElectronCombinatoricsComputer scienceMembraneChemistryArtificial intelligenceBiochemistryBengaliTopological Materials and PhenomenaGraphene research and applicationsQuantum and electron transport phenomena