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.

arXiv comment5+22 pages, 3+13 figures

References in corpus (97)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Maximally-localized generalized Wannier functions for composite energy bands
• Anomalous Hall effect
• The density-matrix renormalization group in the age of matrix product states
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
• Intrinsic quantized anomalous Hall effect in a moiré heterostructure
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Optical detection of Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices
• Magic continuum in twisted bilayer WSe2
• Nearly-flat bands with nontrivial topology
• Origin of Magic Angles in Twisted Bilayer Graphene
• Topological insulators in twisted transition metal dichalcogenide homobilayers
• Hubbard model physics in transition metal dichalcogenide moiré bands
• 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
• Abundance of correlated insulating states at fractional fillings of WSe${}_2$/WS${}_2$ moiré superlattices
• Fractional Chern Insulator
• 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
• Topological Flat Band Models and Fractional Chern Insulators
• Fractional Quantum Hall Physics in Topological Flat Bands
• Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
• Nearly Flat Chern Bands in Moiré Superlattices
• Is the Composite Fermion a Dirac Particle?
• Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels
• Matrix product operator representations
• A mechanism for anomalous Hall ferromagnetism in twisted bilayer graphene
• Detection of Symmetry Protected Topological Phases in 1D
• Continuous Mott transition in semiconductor moiré superlattices
• Correlated Insulating States at Fractional Fillings of the WS2/WSe2 Moiré Lattice
• Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
• Quantum Criticality in Twisted Transition Metal Dichalcogenides
• Band geometry of fractional topological insulators
• Observation of fractional Chern insulators in a van der Waals heterostructure
• Ground State and Hidden Symmetry of Magic Angle Graphene at Even Integer Filling
• Fractional Chern Insulator States in Twisted Bilayer Graphene: An Analytical Approach
• Generic Wavefunction Description of Fractional Quantum Anomalous Hall States and Fractional Topological Insulators
• Exact Landau Level Description of Geometry and Interaction in a Flatband
• Particle-vortex duality of 2d Dirac fermion from electric-magnetic duality of 3d topological insulators
• Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe${}_2$
• Spontaneous fractional Chern insulators in transition metal dichalcogenides Moire superlattices
• Fractional quantum anomalous Hall states in twisted bilayer MoTe${}_2$ and WSe${}_2$
• Relations between topology and the quantum metric for Chern insulators
• Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides
• Position-Momentum Duality and Fractional Quantum Hall Effect in Chern Insulators
• Programming Correlated Magnetic States via Gate Controlled Moiré Geometry
• Towards the hidden symmetry in Coulomb interacting twisted bilayer graphene: renormalization group approach
• Strain-induced quantum phase transitions in magic angle graphene
• Tunable bilayer Hubbard model physics in twisted WSe2
• The half-filled Landau level: the case for Dirac composite fermions
• Hartree-Fock study of the moiré Hubbard model for twisted bilayer transition metal dichalcogenides
• Efficient simulation of moire materials using the density matrix renormalization group
• Tunneling into a two-dimensional electron system in a strong magnetic field
• Giant magnetic field from moiré induced Berry phase in homobilayer semiconductors
• Geometric stability of topological lattice phases
• Family of ideal Chern flat bands with arbitrary Chern number in chiral twisted graphene multilayers
• Chiral Approximation to Twisted Bilayer Graphene: Exact Intra-Valley Inversion Symmetry, Nodal Structure and Implications for Higher Magic Angles
• Hierarchy of fractional Chern insulators and competing compressible states
• Kähler geometry and Chern insulators: Relations between topology and the quantum metric
• Hierarchy of Ideal Flatbands in Chiral Twisted Multilayer Graphene Models
• Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids
• A continuous transition between fractional quantum Hall and superfluid states
• SU(4) chiral spin liquid, exciton supersolid and electric detection in moiré bilayers
• Fractional (Chern and topological) insulators
• Enhancing the stability of a fractional Chern insulator against competing phases
• Composite fermi liquids in the lowest Landau level
• Origin of Model Fractional Chern Insulators in All Topological Ideal Flatbands: Explicit Color-entangled Wavefunction and Exact Density Algebra
• Engineering geometrically flat Chern bands with Fubini-Study Kähler structure
• Particle-Hole Symmetry in the Fermion-Chern-Simons and Dirac Descriptions of a Half-Filled Landau Level
• Symmetry protected fractional Chern insulators and fractional topological insulators
• Quantum Metric Induced Phases in Moiré Materials
• Exact Many-Body Ground States from Decomposition of Ideal Higher Chern Bands: Applications to Chirally Twisted Graphene Multilayers
• Hamiltonian theory of fractionally filled Chern bands
• Entanglement entropy of the $\nu =1/2$ composite fermion non-Fermi liquid state
• Topological Lattice Models with Constant Berry Curvature
• Dynamical Mean Field Theory of Moiré Bilayer Transition Metal Dichalcogenides: Phase Diagram, Resistivity, and Quantum Criticality
• Theory of tunable flux lattices in the homobilayer moiré of twisted and uniformly strained transition metal dichalcogenides
• From fractional Chern insulators to Abelian and non-Abelian fractional quantum Hall states: adiabatic continuity and orbital entanglement spectrum
• Local Matrix Product Operators: Canonical Form, Compression, & Control Theory
• Thermoelectric transport signatures of Dirac composite fermions in the half-filled Landau level
• Continuous transitions between composite Fermi liquid and Landau Fermi liquid: a route to fractionalized Mott insulators
• Lattice Monte Carlo for Quantum Hall States on a Torus
• Berry phase and model wavefunction in the half-filled Landau Level
• Tunable spin and valley excitations of correlated insulators in $\Gamma$-valley moiré bands
• A modular-invariant modified Weierstrass sigma-function as a building block for lowest-Landau-level wavefunctions on the torus
• The origin of holomorphic states in Landau levels from non-commutative geometry, and a new formula for their overlaps on the torus
• Dirac Fermion Hierarchy of Composite Fermi Liquids
• Numerical study of anisotropy in a composite Fermi liquid
• Chiral Luttinger liquids and a generalized Luttinger's theorem in fractional quantum Hall edges via finite-entanglement scaling
• Staggered Pseudo Magnetic Field in Twisted Transition Metal Dichalcogenides: Physical Origin and Experimental Consequences
• Composite fermions in bands with N-fold rotational symmetry
• Connection between Fermi contours of zero-field electrons and $\nu =\frac{1}{2}$ composite fermions in two-dimensional systems

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• Tunable moiré materials for probing Berry physics and topology
• 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${}_2$
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• 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
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• 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
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• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Electromagnetic response and emergent topological orders in transition metal dichalcogenide MoTe${}_2$ bilayers
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• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Fractional Chern insulator candidate in twisted bilayer checkboard lattice
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• Sliding Luttinger Liquid and Topological Flat Bands in Symmetry Mismatched Moiré Interfaces
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• 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
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• 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