Quantum Anomalous Hall Insulator of Composite Fermions

Abstract

We show that a weak hexagonal periodic potential could transform a two-dimensional electron gas with an even-denominator magnetic filling factor to a quantum anomalous Hall insulator of composite fermions, giving rise to fractionally quantized Hall effect. The system provides a realization of the Haldane honeycomb-net model, albeit in a composite fermion system. We further propose a trial wave function for the state, and numerically evaluate its relative stability against the competing Hofstadter state. Possible sets of experimental parameters are proposed.

5 pages, 4 figures, 2 tables, detailed supplementary file added

References in corpus (9)

• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Fractional quantum Hall effect in the absence of Landau levels
• Topological Flat Band Models and Fractional Chern Insulators

Cited by in corpus (8)

• Intertwined fractional quantum anomalous Hall states and charge density waves
• Density functional theory of the fractional quantum Hall effect
• Density Functional Theory of Composite Fermions
• Coulomb drag in topological insulator films
• Fractional quantum Hall effect from frustration-free Hamiltonians
• Coulomb drag in topological materials
• Chern insulator in a ferromagnetic two-dimensional electron system with Dresselhaus spin-orbit coupling
• Crystalline Solutions of Kohn-Sham Equations in the Fractional Quantum Hall Regime