Zero-field composite Fermi liquid in twisted semiconductor bilayers

Abstract

Recent experiments have produced evidence for fractional quantum anomalous Hall (FQAH) states at zero magnetic field in the semiconductor moiré superlattice system $t$MoTe${}_2$. Here we argue that a composite fermion description, already a unifying framework for the phenomenology of 2d electron gases at high magnetic fields, provides a similarly powerful perspective in this new context. To this end, we present exact diagonalization evidence for composite Fermi liquid states at zero magnetic field in $t$MoTe${}_2$ at fillings $n=\frac{1}{2}$ and $n=\frac{3}{4}$. We dub these non-Fermi liquid metals anomalous composite Fermi liquids (ACFLs), and we argue that they play a central organizing role in the FQAH phase diagram. We proceed to develop a long wavelength theory for this ACFL state that offers concrete experimental predictions upon doping the composite Fermi sea, including a Jain sequence of FQAH states and a new type of commensurability oscillations originating from the superlattice potential intrinsic to the system.

arXiv commentPhys. Rev. Lett. journal version. Editors' Suggestion and Featured in Physics. main: 5 pages, 3 figures. SM: 5 pages, 3 figures

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• Observation of Fractionally Quantized Anomalous Hall Effect
• A Microscopic Perspective on Moiré Materials
• 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
• Local probe of bulk and edge states in a fractional Chern insulator
• Tunable moiré materials for probing Berry physics and topology
• 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
• Phase transitions out of quantum Hall states in moiré materials
• Higher Landau-Level Analogs and Signatures of Non-Abelian States in Twisted Bilayer MoTe${}_2$
• 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
• 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${}_2$
• Electrically tuned topology and magnetism in twisted bilayer MoTe${}_2$ at ${\nu }_h=1$
• 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
• Topological quantum phase transitions driven by a displacement field in the twisted MoTe2 bilayers
• Possible Sliding Regimes in Twisted Bilayer WTe${}_2$
• Effects of dynamical dielectric screening on the excitonic spectrum of monolayer semiconductors
• Majorana zero modes in twisted transition metal dichalcogenides homobilayers
• Hofstadter spectrum of Chern bands in twisted transition metal dichalcogenides
• Interacting phase diagram of twisted bilayer MoTe${}_2$ in magnetic field
• Minimal Fractional Topological Insulator in half-filled conjugate moiré Chern bands
• 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
• Corner Charge Fluctuations and Many-Body Quantum Geometry
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe${}_2$
• Bipartite Fluctuations of Critical Fermi Surfaces
• Compressible quantum liquid with vanishing Drude weight
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Electromagnetic response and emergent topological orders in transition metal dichalcogenide MoTe${}_2$ bilayers
• Topological magnons and domain walls in twisted bilayer MoTe${}_2$
• Entanglement scaling and charge fluctuations in a Fermi liquid of composite fermions
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Multi-Band Exact Diagonalization and an Iteration Approach to Hunt For Fractional Chern Insulators in Rhombohedral Multilayer Graphene
• 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
• Optical signatures of -1/3 fractional quantum anomalous Hall state in twisted MoTe2
• Transitions from Composite Fermi Liquid to Moore-Read States in Weyl Semimetals
• Orbital Description of Landau Levels
• 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
• 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
• Family of multilayer graphene superconductors with tunable chirality: Momentum-space vortices nucleated by a ring of Berry curvature