Parafermions in Moiré Minibands
arXiv:2406.08546 · doi:10.1038/s41467-025-57035-x
Abstract
Moiré materials provide a remarkably tunable platform for topological and strongly correlated quantum phases of matter. Very recently, the first zero field Abelian fractional Chern insulators (FCIs) have been experimentally demonstrated and it has been theoretically predicted that non-Abelian states with Majorana fermion excitations may be realized in the nearly dispersionless minibands of these systems. Here we provide telltale evidence in terms of low-energy quantum numbers, spectral flow and entanglement spectra for the even more exotic possibility of moiré-based non-Abelian FCIs exhibiting Fibonacci parafermion excitations.
Add journal reference
References in corpus (21)
- Non-Abelian Anyons and Topological Quantum Computation
- 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
- Composite Fermion Theory for Bosonic Atoms in Optical Lattices
- Position-Momentum Duality and Fractional Quantum Hall Effect in Chern Insulators
- Half-Filled Lowest Landau Level on a Thin Torus
- Interplay of Fractional Chern Insulator and Charge-Density-Wave Phases in Twisted Bilayer Graphene
- Shot Noise in Anyonic Mach-Zehnder Interferometer
- Maximally Localized Wannier Orbitals, Interaction Models and Fractional Quantum Anomalous Hall Effect in Twisted Bilayer MoTe2
- Degeneracy of non-abelian quantum Hall states on the torus: domain walls and conformal field theory
- Non-Abelian fractionalization in topological minibands
- Band mixing in the quantum anomalous Hall regime of twisted semiconductor bilayers
- Quantum anomalous Hall crystal at fractional filling of moiré superlattices
- Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states
- Non-Abelian Fractional Quantum Anomalous Hall States and First Landau Level Physics in Second Moiré Band of Twisted Bilayer MoTe2
- Hofstadter spectrum of Chern bands in twisted transition metal dichalcogenides
- Fermionic non-Abelian fractional Chern insulators from dipolar interactions