Single-particle spectral function of fractional quantum anomalous Hall states

Abstract

Fractional quantum Hall states are the most prominent example of states with topological order, hosting excitations with fractionalized charge. Recent experiments in twisted ${\text{MoTe}}_2$ and graphene-based heterostructures provided evidence of fractional quantum anomalous Hall (FQAH) states, which spontaneously break time-reversal symmetry and persist even without an external magnetic field. Understanding the unique properties of these states requires the characterization of their low-energy excitations. To that end, we construct a parton theory for the energy and momentum-resolved single-particle spectral function of FQAH states. We explicitly consider several experimentally observed filling fractions as well as a composite Fermi liquid in the half-filled Chern band. The parton description qualitatively captures our numerical exact diagonalization results. Additionally, we discuss how the finite bandwidth of the Chern band and the non-ideal quantum geometry affect the fractionalized excitations. Our work demonstrates that the energy and momentum-resolved electronic single-particle spectral function provides a valuable tool to characterize fractionalized excitations of FQAH states in moiré lattices.

7+4 pages, 3+3 figures

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• Microscopic Mechanism of Anyon Superconductivity Emerging from Fractional Chern Insulators
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• Spinless and spinful charge excitations in moiré Fractional Chern Insulators
• Sensing the binding and unbinding of anyons at impurities
• Exciton-Anyon Binding in Fractional Chern Insulators: Spectral Fingerprints
• Anyon Dispersion in Aharonov-Casher Bands and Implications for Twisted MoTe${}_2$
• Time-dependent conserved operators for autonomous systems and quantization of resistance