Band mixing in the quantum anomalous Hall regime of twisted semiconductor bilayers

Abstract

Remarkable recent experiments have observed fractional quantum anomalous Hall (FQAH) effects at zero field and unusually high temperatures in twisted semiconductor bilayer $t$MoTe${}_2$. Intriguing observations in these experiments such as the absence of integer Hall effects at twist angles where a fractional Hall effect is observed, do however remain unexplained. The experimental phase diagram as a function of twist angle remains to be established. By comprehensive numerical study, we show that band mixing has large qualitative and quantitative effects on the energetics of competing states and their energy gaps throughout the twist angle range $\theta \le 4^{\circ }$. This lays the ground for the detailed realistic study of a rich variety of strongly correlated twisted semiconductor multilayers and an understanding of the phase diagram of these fascinating systems.

5 + 2 pages, 7 Figures

References in corpus (19)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• 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
• Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
• Fractional Quantum Hall States and Jack Polynomials
• Continuous Mott transition in semiconductor moiré superlattices
• Quantum Criticality in Twisted Transition Metal Dichalcogenides
• 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
• Quantum Hall system in Tao-Thouless limit
• Pressure--enhanced fractional Chern insulators in moiré transition metal dichalcogenides along a magic line
• Maximally Localized Wannier Orbitals, Interaction Models and Fractional Quantum Anomalous Hall Effect in Twisted Bilayer MoTe2
• Interaction-driven topological phase diagram of twisted bilayer MoTe${}_2$

Cited by in corpus (35)

• Non-Abelian fractionalization in topological minibands
• Transfer learning relaxation, electronic structure and continuum model for twisted bilayer MoTe${}_2$
• Interplay between topology and correlations in the second moiré band of twisted bilayer MoTe2
• 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
• Higher Landau-Level Analogs and Signatures of Non-Abelian States in Twisted Bilayer MoTe${}_2$
• Adiabatic Approximation and Aharonov-Casher Bands in Twisted Homobilayer TMDs
• Moiré Fractional Chern Insulators III: Hartree-Fock Phase Diagram, Magic Angle Regime for Chern Insulator States, the Role of the Moiré Potential and Goldstone Gaps in Rhombohedral Graphene Superlattices
• Variational Mapping of Chern Bands to Landau Levels: Application to Fractional Chern Insulators in Twisted MoTe${}_2$
• Hidden States and Dynamics of Fractional Fillings in tMoTe2 Moiré Superlattices
• Solving and visualizing fractional quantum Hall wavefunctions with neural network
• Non-Abelian spin Hall insulator
• Topological quantum phase transitions driven by a displacement field in the twisted MoTe2 bilayers
• Attractive Haldane bilayers for trapping non-Abelian anyons
• Non-Abelian Fractional Chern Insulators and Competing States in Flat Moiré Bands
• Broken Symmetry in Ideal Chern Bands
• Spectra of Magnetoroton and Chiral Graviton Modes of Fractional Chern Insulator
• Moiré Band Engineering in Twisted Trilayer WSe2
• Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe${}_2$
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe${}_2$
• Parafermions in Moiré Minibands
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Topological magnons and domain walls in twisted bilayer MoTe${}_2$
• Multi-Band Exact Diagonalization and an Iteration Approach to Hunt For Fractional Chern Insulators in Rhombohedral Multilayer Graphene
• Fractional Chern insulator candidate in twisted bilayer checkboard lattice
• Variational wavefunctions for fractional topological insulators
• Spinless and spinful charge excitations in moiré Fractional Chern Insulators
• Candidate for a Fractional Topological Insulator in Twisted MoTe2
• Topological Order in Neural Wavefunctions
• Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe${}_2$
• Giant Shift Current in Electrically-Tunable Superlattice Bilayer Graphene
• Tuning between a fractional topological insulator and competing phases at ${\nu }_{\mathrm{T}}=2/3$
• Continuous transition and gapless roton inside fractional quantum anomalous Hall states
• Abelian and non-Abelian fractionalized states in twisted MoTe${}_2$: A generalized Landau-level theory
• Topological Order Without Band Topology in Moiré Graphene