Composite Fermi Liquid at Zero Magnetic Field in Twisted MoTe${}_2$

Abstract

The pursuit of exotic phases of matter outside of the extreme conditions of a quantizing magnetic field has been a long standing quest of solid state physics. Recent experiments have observed spontaneous valley polarization and fractional Chern insulators (FCIs) in zero magnetic field in twisted bilayers of MoTe${}_2$, at partial filling of the topological valence band ($\nu =-2/3$ and $-3/5$). We study the topological valence band at $\text{half}$ filling, using exact diagonalization and density matrix renormalization group calculations. We discover a composite Fermi liquid (CFL) phase even at zero magnetic field that covers a large portion of the phase diagram centered around twist angle $\sim 3.6^{\circ }$. The CFL is a non-Fermi liquid phase that shows metallic behavior despite the absence of Landau quasiparticles. We discuss experimental implications including the competition between the CFL and a Fermi liquid, which can be tuned with a displacement field. The topological valence band has excellent quantum geometry over a wide range of twist angles and a small bandwidth that is, remarkably, reduced by interactions for a range of angles. These key properties are responsible for stabilizing the exotic quantum Hall phases we find at zero field. Finally, we present an optical signature involving "extinguished" optical responses as a means to identify Chern bands with ideal quantum geometry.

5+22 pages, 3+13 figures

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• Local probe of bulk and edge states in a fractional Chern insulator
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• Interplay between topology and correlations in the second moiré band of twisted bilayer MoTe2
• Transfer learning relaxation, electronic structure and continuum model for twisted bilayer MoTe${}_2$
• Quantum anomalous Hall crystal at fractional filling of moiré superlattices
• Phase transitions out of quantum Hall states in moiré materials
• 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
• Intertwined fractional quantum anomalous Hall states and charge density waves
• Theory of Generalized Landau Levels and Implication for non-Abelian States
• Electrically tuned topology and magnetism in twisted bilayer MoTe${}_2$ at ${\nu }_h=1$
• 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${}_2$
• Higher vortexability: zero field realization of higher Landau levels
• Fractional Chern Insulators in Twisted Bilayer MoTe${}_2$: A Composite Fermion Perspective
• Contrasting twisted bilayer graphene and transition metal dichalcogenides for fractional Chern insulators: an emergent gauge picture
• Designing topology and fractionalization in narrow gap semiconductor films via electrostatic engineering
• Experimental signature of layer skyrmions and implications for band topology in twisted WSe2 bilayers
• Kondo effect and its destruction in hetero-bilayer transition metal dichalcogenides
• Quantum Geometry Probed by Chiral Excitonic Optical Response of Chern Insulators
• Possible Sliding Regimes in Twisted Bilayer WTe${}_2$
• Majorana zero modes in twisted transition metal dichalcogenides homobilayers
• Effects of dynamical dielectric screening on the excitonic spectrum of monolayer semiconductors
• Topological quantum phase transitions driven by a displacement field in the twisted MoTe2 bilayers
• Hofstadter spectrum of Chern bands in twisted transition metal dichalcogenides
• Quantum Geometry and the Hidden Scales in Materials
• Minimal Fractional Topological Insulator in half-filled conjugate moiré Chern bands
• Quantum-metric-induced quantum Hall conductance inversion and reentrant transition in fractional Chern insulators
• Single-particle spectral function of fractional quantum anomalous Hall states
• Observation of Ferromagnetic Phase in the Second Moiré Band of Twisted MoTe2
• Non-Abelian Fractional Chern Insulators and Competing States in Flat Moiré Bands
• Quantum anomalous, spin, and valley Hall effects in pentalayer rhombohedral graphene moiré superlattices
• On the zero-field quantization of the anomalous quantum Hall effect in moiré 2D layers
• Moiré Band Engineering in Twisted Trilayer WSe2
• Topological Interlayer Superconductivity in a van der Waals Heterostructure
• Anyon superconductivity and plateau transitions in doped fractional quantum anomalous Hall insulators
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe${}_2$
• Corner Charge Fluctuations and Many-Body Quantum Geometry
• Bipartite Fluctuations of Critical Fermi Surfaces
• Compressible quantum liquid with vanishing Drude weight
• Topological magnons and domain walls in twisted bilayer MoTe${}_2$
• A Novel Perspective on Ideal Chern Bands with Strong Short-Range Repulsion: Applications to Correlated Metals, Superconductivity, and Topological Order
• Impurity-induced thermal crossover in fractional Chern insulators
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Electromagnetic response and emergent topological orders in transition metal dichalcogenide MoTe${}_2$ bilayers
• Entanglement scaling and charge fluctuations in a Fermi liquid of composite fermions
• Multi-Band Exact Diagonalization and an Iteration Approach to Hunt For Fractional Chern Insulators in Rhombohedral Multilayer Graphene
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Fractional Chern insulator candidate in twisted bilayer checkboard lattice
• Topological Kondo semimetals emulated in hetero-bilayer transition metal dichalcogenides
• Sliding Luttinger Liquid and Topological Flat Bands in Symmetry Mismatched Moiré Interfaces
• Pathways from a chiral superconductor to a composite Fermi liquid
• Spinless and spinful charge excitations in moiré Fractional Chern Insulators
• Non-Abelian Chern band in rhombohedral graphene multilayers
• Unconventional Fractional Phases in Multi-Band Vortexable Systems
• Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe${}_2$
• Transitions from Composite Fermi Liquid to Moore-Read States in Weyl Semimetals
• Anyon Dispersion in Aharonov-Casher Bands and Implications for Twisted MoTe${}_2$
• Abelian and non-Abelian fractionalized states in twisted MoTe${}_2$: A generalized Landau-level theory
• Refining Heuristic Predictors of Fractional Chern Insulators using Machine Learning
• Family of multilayer graphene superconductors with tunable chirality: Momentum-space vortices nucleated by a ring of Berry curvature
• Robustness of real-space topology in moiré systems
• Orbital Description of Landau Levels
• Non-Fermi liquid behaviour of CDW instabilities in fractionally-filled moiré flatbands
• The Sound of Electrons Shattering: Current Noise Composition Laws for Electron Fractionalization
• Probing Non-Fermi-Liquid Behaviour of Composite Fermi Liquid via Efficient Thermal Simulations
• Instability of Laughlin FQH liquids into gapless power-law correlated states with continuous exponents in ideal Chern bands: rigorous results from plasma mapping