Spinless and spinful charge excitations in moiré Fractional Chern Insulators

Abstract

Fractionally charged elementary excitations, the quasi-electron and quasi-hole, are one of the hallmarks of the fractional Chern insulator (FCI). In this work, we observe that spontaneous spin polarization in twisted MoTe${}_2$ leads to multiple species of low-energy quasi-particles distinguished by their spin quantum numbers. We perform large-scale exact diagonalization (ED) calculations to investigate the nature of these excitations and develop a method to extract their fundamental energetic properties. Focusing on $\theta =3.7^{\circ }$ and filling factor $\nu =-2/3$ relevant to recent experiments, we show that spin-preserving (spinless) charge excitations have smaller gap than spin-flipping (spinful) excitations both with and without band mixing. This result is in qualitative agreement with the measured magnetic field dependence of the transport gaps. Beyond the spinless and spinful quasi-particle gaps, we extract the full quasi-electron and quasi-hole ``band structure'' and find significant dispersion with emergent magnetic translation symmetry -- a fundamental departure from the immobile excitations of the quantum Hall fluid. Our results establish a framework for computing the properties of novel elementary excitations in FCIs.

References in corpus (42)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Signatures of Fractional Quantum Anomalous Hall States in Twisted MoTe2 Bilayer
• Observation of Fractionally Quantized Anomalous Hall Effect
• Fractional quantum Hall effect in the absence of Landau levels
• Integer and fractional Chern insulators in twisted bilayer MoTe2
• Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
• Spontaneous fractional Chern insulators in transition metal dichalcogenides Moire superlattices
• Fractional Chern Insulator in Twisted Bilayer MoTe${}_2$
• Fractional quantum anomalous Hall states in twisted bilayer MoTe${}_2$ and WSe${}_2$
• Twisted Bilayer Graphene V: Exact Analytic Many-Body Excitations in Twisted Bilayer Graphene Coulomb Hamiltonians: Charge Gap, Goldstone Modes and Absence of Cooper Pairing
• Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides
• Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
• Composite Fermi Liquid at Zero Magnetic Field in Twisted MoTe${}_2$
• Zero-field composite Fermi liquid in twisted semiconductor bilayers
• Hofstadter Topology: Non-crystalline Topological Materials at High Flux
• Maximally Localized Wannier Orbitals, Interaction Models and Fractional Quantum Anomalous Hall Effect in Twisted Bilayer MoTe2
• Local probe of bulk and edge states in a fractional Chern insulator
• Band mixing in the quantum anomalous Hall regime of twisted semiconductor bilayers
• Quantum anomalous Hall crystal at fractional filling of moiré superlattices
• The single-mode approximation for fractional Chern insulators and the fractional quantum Hall effect on the torus
• Adiabatic Approximation and Aharonov-Casher Bands in Twisted Homobilayer TMDs
• Atypical Fractional Quantum Hall Effect in Graphene at Filling Factor 1/3
• Hofstadter Topology with Real Space Invariants and Reentrant Projective Symmetries
• Characterization of quasiholes in fractional Chern insulators
• Fractional quantum Hall effect energy gap: role of electron layer thickness
• Thermodynamic Response and Neutral Excitations in Integer and Fractional Quantum Anomalous Hall States Emerging from Correlated Flat Bands
• Doping a fractional quantum anomalous Hall insulator
• Composite fermion pairing induced by Landau level mixing
• Fractional Chern Insulators in Twisted Bilayer MoTe${}_2$: A Composite Fermion Perspective
• Shape of the magnetoroton at $\nu =1/3$ and $\nu =7/3$ in real samples
• Microscopic Mechanism of Anyon Superconductivity Emerging from Fractional Chern Insulators
• Displacement field-controlled fractional Chern insulators and charge density waves in a graphene/hBN moiré superlattice
• Hofstadter spectrum of Chern bands in twisted transition metal dichalcogenides
• Intraband collective excitations in fractional Chern insulators are dark
• Single-particle spectral function of fractional quantum anomalous Hall states
• Spectra of Magnetoroton and Chiral Graviton Modes of Fractional Chern Insulator
• Molecular anyons in fractional quantum Hall effect
• Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe${}_2$
• Anyon superconductivity and plateau transitions in doped fractional quantum anomalous Hall insulators
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe${}_2$

Cited by in corpus (2)

• Anyon Dispersion in Aharonov-Casher Bands and Implications for Twisted MoTe${}_2$
• Probing Non-Fermi-Liquid Behaviour of Composite Fermi Liquid via Efficient Thermal Simulations