Probing magnetism in moiré heterostructures with quantum twisting microscopes

Abstract

Spin-ordered states close to metal-insulator transitions are poorly understood theoretically and challenging to probe in experiments. Here, we propose that the quantum twisting microscope, which provides direct access to the energy-momentum resolved spectrum of single-particle and collective excitations, can be used as a novel tool to distinguish between different types of magnetic order. To this end, we calculate the single-particle spectral function and the dynamical spin-structure factor for both a ferromagnetic and antiferromagnetic generalized Wigner crystal formed in fractionally filled moiré superlattices of transition metal dichalcogenide heterostructures. We demonstrate that magnetic order can be clearly identified in these response functions. Furthermore, we explore signatures of quantum phase transitions in the quantum twisting microscope response. We focus on the specific case of triangular moiré lattices at half filling, which have been proposed to host a topological phase transition between a chiral spin liquid and a 120 degree ordered state. Our work demonstrates the potential for quantum twisting microscopes to characterize quantum magnetism in moiré heterostructures.

arXiv comment9+11 pages, 3+2 figures

References in corpus (68)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
• Optical detection of Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices
• Magic continuum in twisted bilayer WSe2
• Electronic Properties of Graphene in a Strong Magnetic Field
• 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
• Abundance of correlated insulating states at fractional fillings of WSe${}_2$/WS${}_2$ moiré superlattices
• Integer and fractional Chern insulators in twisted bilayer MoTe2
• Moiré superlattice in a MoSe${}_2$/hBN/MoSe${}_2$ heterostructure: from coherent coupling of inter- and intra-layer excitons to correlated Mott-like states of electrons
• Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
• Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
• Continuous Mott transition in semiconductor moiré superlattices
• Correlated Insulating States at Fractional Fillings of the WS2/WSe2 Moiré Lattice
• Quantum Criticality in Twisted Transition Metal Dichalcogenides
• Spin-waves in triangular lattice antiferromagnet: decays, spectrum renormalization, and singularities
• Signatures of bilayer Wigner crystals in a transition metal dichalcogenide heterostructure
• Observation of Wigner crystal of electrons in a monolayer semiconductor
• Stripe phases in WSe2/WS2 moiré superlattices
• Theory of a continuous Mott transition in two dimensions
• Transport Between Twisted Graphene Layers
• Transport in strongly correlated two dimensional electron fluids
• Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study
• Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe${}_2$
• Theory of single spin inelastic tunneling spectroscopy
• Dirac magnons in honeycomb ferromagnets
• The Quantum Twisting Microscope
• Quantum textures of the many-body wavefunctions in magic-angle graphene
• Quantum Phase Diagram of a Moiré-Hubbard Model
• Dynamical structure factor of triangular-lattice antiferromagnet
• Hartree-Fock study of the moiré Hubbard model for twisted bilayer transition metal dichalcogenides
• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Theory of itinerant magnetic excitations in the SDW phase of iron-based superconductors
• Magnon Decay in Noncollinear Quantum Antiferromagnets
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Kinetic Magnetism in Triangular Moiré Materials
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• Generalized Wigner crystallization in moiré materials
• Local Probes for Charge-Neutral Edge States in Two-Dimensional Quantum Magnets
• Resonant tunnelling between the chiral Landau states of twisted graphene lattices
• Optical signatures of charge order in a Mott-Wigner state
• Dynamical structure factor of the triangular antiferromagnet: the Schwinger boson theory beyond the mean field approach
• Tunneling spectroscopy of quantum spin liquids
• Diagnosing phases of magnetic insulators via noise magnetometry with spin qubits
• Theory of spin-polarized scanning tunneling microscopy applied to local spins
• Non-local interactions in moiré Hubbard systems
• Frustrated magnetic interactions in a Wigner-Mott insulator
• Metal-insulator transition in transition metal dichalcogenide heterobilayer moiré superlattices
• Variational quantum Monte Carlo study of two-dimensional Wigner crystals: exchange, correlation, and magnetic field effects
• Quantum Spin Liquid with Emergent Chiral Order in the Triangular-lattice Hubbard Model
• Doping the chiral spin liquid -- topological superconductor or chiral metal?
• Charge order and superconductivity in a two-dimensional triangular lattice at n=2/3
• Phase diagram of the triangular extended Hubbard model
• Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model
• Magnetism and Quantum Melting in Moiré-Material Wigner Crystals
• Tunneling spectroscopy as a probe of fractionalization in 2D magnetic heterostructures
• Chiral Pseudo Spin Liquids in Moire Heterostructures
• Finite-$U$ induced competing interactions, frustration, and quantum phase transition in a triangular-lattice antiferromagnet
• Theory of the anomalous spin dynamics of spin-$\frac{1}{2}$ triangular lattice Heisenberg antiferromagnet and its application to Ba${}_3$CoSb${}_2$O${}_9$
• Kagome chiral spin liquid in transition metal dichalcogenide moiré bilayers
• Interstitial-induced ferromagnetism in a two-dimensional Wigner crystal
• Probing quantum spin liquids with a quantum twisting microscope
• Large-$S$ limit of the large-$N$ theory for the triangular antiferromagnet
• Magnetic excitations, phase diagram and order-by-disorder in the extended triangular-lattice Hubbard model
• Effect of hole doping on the 120 degree order in the triangular lattice Hubbard model: A Hartree-Fock revisit

Cited by in corpus (7)

• Measuring Phonon Dispersion and Electron-Phason Coupling in Twisted Bilayer Graphene with a Cryogenic Quantum Twisting Microscope
• Microscopic Mechanism of Anyon Superconductivity Emerging from Fractional Chern Insulators
• Theory of phonon spectroscopy with the quantum twisting microscope
• Single-particle spectral function of fractional quantum anomalous Hall states
• Charge and spin properties of a generalized Wigner crystal realized in the moiré WSe${}_2$/WS${}_2$ heterobilayer
• Momentum-resolved spectroscopy of superconductivity with the quantum twisting microscope
• Purely electronic model for exciton-polaron formation in moiré heterostructures