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.

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

References in corpus (11)

• 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
• Fractional quantum Hall effect in the absence of Landau levels
• Composite Fermion Theory for Bosonic Atoms in Optical Lattices
• Bloch Model Wavefunctions and Pseudopotentials for All Fractional Chern Insulators
• Thirty Years of Composite Fermions and Beyond
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Continuous transitions between composite Fermi liquid and Landau Fermi liquid: a route to fractionalized Mott insulators
• Dipole representation of half-filled Landau level
• Emergent reflection symmetry from non-relativistic composite fermions

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• Theory of Generalized Landau Levels and Implication for non-Abelian States
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• 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
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• 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
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• 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
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• 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
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• Non-Abelian Chern band in rhombohedral graphene multilayers
• Optical signatures of -1/3 fractional quantum anomalous Hall state in twisted MoTe2
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• Refining Heuristic Predictors of Fractional Chern Insulators using Machine Learning
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