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.
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References in corpus (64)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- 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
- Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
- Graphene Bilayers with a Twist
- Origin of Magic Angles in Twisted Bilayer Graphene
- Topological insulators in twisted transition metal dichalcogenide homobilayers
- Hubbard model physics in transition metal dichalcogenide moiré bands
- 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
- Quantum anomalous Hall effect from intertwined moiré bands
- Fractional Chern insulators in magic-angle twisted bilayer graphene
- Integer and fractional Chern insulators in twisted bilayer MoTe2
- Topological Flat Band Models and Fractional Chern Insulators
- Direct observation of anyonic braiding statistics at the =1/3 fractional quantum Hall state
- Fractional Quantum Hall Physics in Topological Flat Bands
- Nearly Flat Chern Bands in Moiré Superlattices
- Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
- Band geometry of fractional topological insulators
- Observation of fractional Chern insulators in a van der Waals heterostructure
- Topological phases with parafermions: theory and blueprints
- Fractional Chern Insulator States in Twisted Bilayer Graphene: An Analytical Approach
- Exact Landau Level Description of Geometry and Interaction in a Flatband
- Particle-Hole Duality, Emergent Fermi Liquids and Fractional Chern Insulators in Moiré Flatbands
- Emergent Many-Body Translational Symmetries of Abelian and Non-Abelian Fractionally Filled Topological Insulators
- Spontaneous fractional Chern insulators in transition metal dichalcogenides Moire superlattices
- Exact Parent Hamiltonian for the Quantum Hall States in a Optical Lattice
- Composite Fermion Theory for Bosonic Atoms in Optical Lattices
- Relations between topology and the quantum metric for Chern insulators
- Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides
- Position-Momentum Duality and Fractional Quantum Hall Effect in Chern Insulators
- Extracting Excitations From Model State Entanglement
- Free parafermions
- Half-Filled Lowest Landau Level on a Thin Torus
- Interplay of Fractional Chern Insulator and Charge-Density-Wave Phases in Twisted Bilayer Graphene
- Probing Non-Abelian Statistics with QuasiParticle Interferometry
- Chiral Approximation to Twisted Bilayer Graphene: Exact Intra-Valley Inversion Symmetry, Nodal Structure and Implications for Higher Magic Angles
- Hierarchy of fractional Chern insulators and competing compressible states
- Hierarchy of Ideal Flatbands in Chiral Twisted Multilayer Graphene Models
- Shot Noise in Anyonic Mach-Zehnder Interferometer
- Maximally Localized Wannier Orbitals, Interaction Models and Fractional Quantum Anomalous Hall Effect in Twisted Bilayer MoTe2
- Non-Abelian quantized Hall states of electrons at filling factors 12/5 and 13/5 in the first excited Landau level
- Degeneracy of non-abelian quantum Hall states on the torus: domain walls and conformal field theory
- Gate-Tunable Fractional Chern Insulators in Twisted Double Bilayer Graphene
- From Fractional Chern Insulators to a Fractional Quantum Spin Hall Effect
- Quantum Metric Induced Phases in Moiré Materials
- Non-Abelian fractionalization in topological minibands
- Band mixing in the quantum anomalous Hall regime of twisted semiconductor bilayers
- Topological Lattice Models with Constant Berry Curvature
- Non-Abelian Fractional Chern Insulators from Long-Range Interactions
- Quantum anomalous Hall crystal at fractional filling of moiré superlattices
- Non-Abelian Fractional Quantum Anomalous Hall States and First Landau Level Physics in Second Moiré Band of Twisted Bilayer MoTe2
- Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states
- Topological exact flat bands in two dimensional materials under periodic strain
- Competing Topological Orders in the nu=12/5 Quantum Hall State
- Recent Developments in Fractional Chern Insulators
- Parafermion Statistics and Quasihole Excitations for the Generalizations of the Paired Quantum Hall States
- Parafermions, induced edge states and domain walls in the fractional quantum Hall effect spin transitions
- Hofstadter spectrum of Chern bands in twisted transition metal dichalcogenides
- Fermionic non-Abelian fractional Chern insulators from dipolar interactions
- Thermopower and thermoelectric power factor of parafermion quantum dots