Pressure--enhanced fractional Chern insulators in moiré transition metal dichalcogenides along a magic line

Abstract

We show that pressure applied to twisted WSe${}_2$ can enhance the many-body gap and region of stability of a fractional Chern insulator at filling $\nu =1/3$. Our results are based on exact diagonalization of a continuum model, whose pressure-dependence is obtained through {\it ab initio} methods. We interpret our results in terms of a {\it magic line} in the pressure-{\it vs}-twist angle phase diagram: along the magic line, the bandwidth of the topmost moiré valence band is minimized while simultaneously its quantum geometry nearly resembles that of an ideal Chern band. We expect our results to generalize to other twisted transition metal dichalcogenide homobilayers.

11 pages, 9 figures

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Cited by in corpus (50)

• Integer and fractional Chern insulators in twisted bilayer MoTe2
• Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
• Fractional Chern Insulator in Twisted Bilayer MoTe${}_2$
• Magic Angles and Fractional Chern Insulators in Twisted Homobilayer TMDs
• Mapping twist-tuned multiband topology in bilayer WSe${}_2$
• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene I: Interaction-Driven Chern Bands and Fractional Quantum Hall States at Zero Magnetic Field
• Maximally Localized Wannier Orbitals, Interaction Models and Fractional Quantum Anomalous Hall Effect in Twisted Bilayer MoTe2
• Quantum geometry in condensed matter
• Non-Abelian fractionalization in topological minibands
• Interaction-driven topological phase diagram of twisted bilayer MoTe${}_2$
• Band mixing in the quantum anomalous Hall regime of twisted semiconductor bilayers
• Higher Landau-Level Analogs and Signatures of Non-Abelian States in Twisted Bilayer MoTe${}_2$
• Chiral limit and origin of topological flat bands in twisted transition metal dichalcogenide homobilayers
• Adiabatic Approximation and Aharonov-Casher Bands in Twisted Homobilayer TMDs
• Intertwined fractional quantum anomalous Hall states and charge density waves
• Theory of Generalized Landau Levels and Implication for non-Abelian States
• Halperin States of Particles and Holes in Ideal Time Reversal Invariant Pairs of Chern Bands and The Fractional Quantum Spin Hall Effect in Moiré MoTe${}_2$
• Variational Mapping of Chern Bands to Landau Levels: Application to Fractional Chern Insulators in Twisted MoTe${}_2$
• Quantum Geometric Kohn-Luttinger Superconductivity
• Bridging the small and large in twisted transition metal dicalcogenide homobilayers: a tight binding model capturing orbital interference and topology across a wide range of twist angles
• Thermodynamic Response and Neutral Excitations in Integer and Fractional Quantum Anomalous Hall States Emerging from Correlated Flat Bands
• Fractional quantum anomalous Hall effect in a singular flat band
• Quantum Geometry and Stabilization of Fractional Chern Insulators Far from the Ideal Limit
• Extended magic phase in twisted graphene multilayers
• Contrasting twisted bilayer graphene and transition metal dichalcogenides for fractional Chern insulators: an emergent gauge picture
• Strong-coupling phases of trions and excitons in electron-hole bilayers at commensurate densities
• Designing topology and fractionalization in narrow gap semiconductor films via electrostatic engineering
• Intraband collective excitations in fractional Chern insulators are dark
• Quantum Geometry and the Hidden Scales in Materials
• Pressure-Driven Moiré Potential Enhancement and Tertiary Gap Opening in Graphene/h-BN Heterostructure
• Quantum-metric-induced quantum Hall conductance inversion and reentrant transition in fractional Chern insulators
• Single-particle spectral function of fractional quantum anomalous Hall states
• Broken Symmetry in Ideal Chern Bands
• On the zero-field quantization of the anomalous quantum Hall effect in moiré 2D layers
• Moiré Band Engineering in Twisted Trilayer WSe2
• Pressure-tuned many-body phases through $\Gamma$-K valleytronics in moiré bilayer WSe${}_2$
• Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe${}_2$
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Entropy-Enhanced Fractional Quantum Anomalous Hall Effect
• Quantum-geometric dipole: a topological boost to flavor ferromagnetism in flat bands
• Geometric transport signatures of strained multi-Weyl semimetals
• Non-Abelian Chern band in rhombohedral graphene multilayers
• Various electronic crystal phases in rhombohedral graphene multilayers
• Effective K valley Hamiltonian for TMD bilayers under pressure and application to twisted bilayers with pressure-induced topological phase transitions
• Orbital Description of Landau Levels
• Anyon Dispersion in Aharonov-Casher Bands and Implications for Twisted MoTe${}_2$
• Pressure-Tunable Generalized Wigner Crystal and Fractional Chern Insulator in twisted MoTe${}_2$
• Probing Non-Fermi-Liquid Behaviour of Composite Fermi Liquid via Efficient Thermal Simulations
• Efficient prediction of topological superlattice bands with spin-orbit coupling