Quantum anomalous Hall crystal at fractional filling of moiré superlattices

Abstract

We predict the emergence a state of matter with intertwined ferromagnetism, charge order and topology in fractionally filled moiré superlattice bands. Remarkably, these quantum anomalous Hall crystals exhibit a quantized integer Hall conductance that is different than expected from the filling and Chern number of the band. Microscopic calculations show that this phase is robustly favored at half-filling ($\nu =1/2$) at larger twist angles of the twisted semiconductor bilayer $t$MoTe${}_2$

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References in corpus (27)

• Fractional quantum Hall states at zero magnetic field
• Graphene Bilayers with a Twist
• 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
• Integer and fractional Chern insulators in twisted bilayer MoTe2
• Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
• Stripe phases in WSe2/WS2 moiré superlattices
• Particle-Hole Duality, Emergent Fermi Liquids and Fractional Chern Insulators in Moiré Flatbands
• 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${}_2$
• Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides
• Programming Correlated Magnetic States via Gate Controlled Moiré Geometry
• Composite Fermi Liquid at Zero Magnetic Field in Twisted MoTe${}_2$
• Interplay of Fractional Chern Insulator and Charge-Density-Wave Phases in Twisted Bilayer Graphene
• Magic Angles and Fractional Chern Insulators in Twisted Homobilayer TMDs
• Mapping twist-tuned multiband topology in bilayer WSe${}_2$
• Topological charge density waves at half-integer filling of a moiré superlattice
• Zero-field composite Fermi liquid in twisted semiconductor bilayers
• Maximally Localized Wannier Orbitals, Interaction Models and Fractional Quantum Anomalous Hall Effect in Twisted Bilayer MoTe2
• Topological Phases in AB-Stacked MoTe${}_2$/WSe${}_2$: ${\mathbb{Z}}_2$ Topological Insulators, Chern Insulators, and Topological Charge Density Waves
• Interaction-driven topological phase diagram of twisted bilayer MoTe${}_2$
• Band mixing in the quantum anomalous Hall regime of twisted semiconductor bilayers
• Intertwined fractional quantum anomalous Hall states and charge density waves
• Non-coplanar magnetism, topological density wave order and emergent symmetry at half-integer filling of moiré Chern bands

Cited by in corpus (30)

• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene II: General Mechanism and a Minimal Model
• Parent Berry curvature and the ideal anomalous Hall crystal
• Topological electronic crystals in twisted bilayer-trilayer graphene
• Thermal crossover from a Chern insulator to a fractional Chern insulator in pentalayer graphene
• A New Moiré Platform Based on M-Point Twisting
• Topological quantum phase transitions driven by a displacement field in the twisted MoTe2 bilayers
• Single-particle spectral function of fractional quantum anomalous Hall states
• Layer-Dependent Quantum Anomalous Hall Effect in Rhombohedral Graphene
• Quantum anomalous Hall crystals in moiré bands with higher Chern number
• Broken Symmetry in Ideal Chern Bands
• Quantum anomalous, spin, and valley Hall effects in pentalayer rhombohedral graphene moiré superlattices
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe${}_2$
• Compressible quantum liquid with vanishing Drude weight
• Artificial moiré engineering for an ideal BHZ model
• Fractional Chern insulator states in an isolated flat band of zero Chern number
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Edge-driven transition between extended quantum anomalous Hall crystal and fractional Chern insulator in rhombohedral graphene multilayers
• Parafermions in Moiré Minibands
• Fractional Chern insulator candidate in twisted bilayer checkboard lattice
• Quantum anomalous Hall effects and emergent $\mathrm{SU}(2)$ Hall ferromagnets at fractional filling of helical trilayer graphene
• Anisotropic moiré band flattening in twisted bilayers of M-valley MXenes
• Generic integer and fractional quantum anomalous Hall crystals from interaction-driven band folding
• Spinless and spinful charge excitations in moiré Fractional Chern Insulators
• Designing (higher) Hall crystals
• Continuous transition and gapless roton inside fractional quantum anomalous Hall states
• Topological Order Without Band Topology in Moiré Graphene
• Pressure-Tunable Generalized Wigner Crystal and Fractional Chern Insulator in twisted MoTe${}_2$
• Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls
• Quantum melting a Wigner crystal into Hall liquids
• Three-dimensional flat bands and possible interlayer triplet pairing superconductivity in the alternating twisted NbSe${}_2$ moiré bulk