Moiré Assisted Fractional Quantum Hall State Spectroscopy

Abstract

Intra-Landau level excitations in the fractional quantum Hall regime are not accessible via optical absorption measurements. We point out that optical probes are enabled by the periodic potentials produced by a moiré pattern. Our observation is motivated by the recent observations of fractional quantum Hall incompressible states in moiré-patterned graphene on a hexagonal boron nitride substrate, and is theoretically based on $f-$sum rule considerations supplemented by a perturbative analysis of the influence of the moiré potential on many-body states.

5 pages, 2 figures

References in corpus (6)

• Origin of band gaps in graphene on hexagonal boron nitride
• Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices
• Unconventional Quantum Hall Effect and Tunable Spin Hall Effect in MoS2 Trilayers
• SO(5) symmetry in the quantum Hall effect in graphene
• Splitting of Long-Wavelength Modes of the Fractional Quantum Hall Liquid at $\nu =1/3$
• Fractional Hofstadter States in Graphene on Hexagonal Boron Nitride

Cited by in corpus (1)

• Theory of optical absorption by interlayer excitons in transition metal dichalcogenide heterobilayers