Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides

Abstract

The moiré superlattices formed by stacking 2D semiconducting transition metal dichalcogenides (TMDs) with twisting angle or lattice mismatch have provided a versatile platform with unprecedented tunability for exploring many frontier topics in condensed matter physics, including optical, topological and correlation phenomena. This field of study advances rapidly and a plethora of exciting experimental and theoretical progresses have been achieved recently. This review aims to provide an overview of the fundamental properties of TMDs moiré superlattices, as well as highlight some of the major breakthroughs in this captivating field.

References in corpus (223)

• Non-Abelian Anyons and Topological Quantum Computation
• Valley polarization in MoS2 monolayers by optical pumping
• Ultrafast Charge Transfer in Atomically Thin MoS2/WS2 Heterostructures
• Observation of giant bandgap renormalization and excitonic effects in a monolayer transition metal dichalcogenide semiconductor
• Observation of Long-Lived Interlayer Excitons in Monolayer MoSe2-WSe2 Heterostructures
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Tightly bound excitons in monolayer WSe2
• Strong light-matter coupling in two-dimensional atomic crystals
• Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
• Observation of Moiré Excitons in WSe2/WS2 Heterostructure Superlattices
• k.p theory for two-dimensional transition metal dichalcogenide semiconductors
• Probing Excitonic Dark States in Single-layer Tungsten Disulfide
• Stacking-engineered ferroelectricity in bilayer boron nitride
• Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
• Resonantly hybridised excitons in moiré superlattices in van der Waals heterostructures
• Graphene Bilayers with a Twist
• Interfacial Ferroelectricity by van-der-Waals Sliding
• Exciton Binding Energy of Monolayer WS2
• Evolution of Interlayer Coupling in Twisted MoS2 Bilayers
• Signatures of Fractional Quantum Anomalous Hall States in Twisted MoTe2 Bilayer
• Observation of Fractionally Quantized Anomalous Hall Effect
• Determination of band alignment in the single layer MoS2/WSe2 heterojunction
• Non-linear Optical Spectroscopy of Excited Exciton States for Efficient Valley Coherence Generation in WSe2 Monolayers
• Moiré excitons: from programmable quantum emitter arrays to spin-orbit coupled artificial lattices
• Quantum anomalous Hall effect from intertwined moiré bands
• Interfacial ferroelectricity in rhombohedral-stacked bilayer transition metal dichalcogenides
• Integer and fractional Chern insulators in twisted bilayer MoTe2
• Electric field tunable unconventional superconductivity in alternating twist magic-angle trilayer graphene
• Robust optical emission polarization in MoS2 monolayers through selective valley excitation
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
• Exotic non-Abelian anyons from conventional fractional quantum Hall states
• Efficient Interlayer Relaxation and Transition of Excitons in Epitaxial and Non-epitaxial MoS2/WS2 Heterostructures
• Interfacial ferroelectricity in marginally twisted 2D semiconductors
• Nonlinear Hall Effects
• Interlayer Exciton Optoelectronics in a 2D Heterostructure p-n Junction
• Superfluidity and Quantum Geometry in Twisted Multilayer Systems
• Layer Hall effect in a 2D topological Axion antiferromagnet
• Exciton band structure of monolayer MoS2
• Continuous Mott transition in semiconductor moiré superlattices
• Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
• Quantum Criticality in Twisted Transition Metal Dichalcogenides
• Charge-polarized interfacial superlattices in marginally twisted hexagonal boron nitride
• Theory of optical absorption by interlayer excitons in transition metal dichalcogenide heterobilayers
• Quantum metric-induced nonlinear transport in a topological antiferromagnet
• Nonlinear Photoluminescence in Atomically Thin Layered WSe2 Arising from Diffusion-Assisted Exciton-Exciton Annihilation
• Signatures of bilayer Wigner crystals in a transition metal dichalcogenide heterostructure
• Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Observation of Wigner crystal of electrons in a monolayer semiconductor
• Stripe phases in WSe2/WS2 moiré superlattices
• Exotic electronic states in the world of flat bands: from theory to material
• Superconducting Proximity Effect on the Edge of Fractional Topological Insulators
• Deep moiré potentials in twisted transition metal dichalcogenide bilayers
• Exact Landau Level Description of Geometry and Interaction in a Flatband
• Van der Waals Heterostructure Polaritons with moiré-Induced Nonlinearity
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• $\Gamma$-Valley Transition-Metal-Dichalcogenide Moirè Bands
• Interlayer coupling in commensurate and incommensurate bilayer structures of transition metal dichalcogenides
• Evidence of Flat Bands and Correlated States in Buckled Graphene Superlattices
• General Theory for Bilayer Stacking Ferroelectricity
• Valley Phonons and Exciton Complexes in a Monolayer Semiconductor
• Spontaneous fractional Chern insulators in transition metal dichalcogenides Moire superlattices
• Fractional Chern Insulator in Twisted Bilayer MoTe${}_2$
• Superconductivity in twisted bilayer WSe${}_2$
• Continuum models for twisted bilayer graphene: the effects of lattice deformation and hopping parameter
• Fractional quantum anomalous Hall states in twisted bilayer MoTe${}_2$ and WSe${}_2$
• Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides
• Superconductivity and strong interactions in a tunable moiré quasiperiodic crystal
• Programming Correlated Magnetic States via Gate Controlled Moiré Geometry
• Tunable Phases of Moiré Excitons in van der Waals Heterostructures
• Exciton-exciton interaction in transition-metal dichalcogenide monolayers
• Vortexability: A Unifying Criterion for Ideal Fractional Chern Insulators
• Tunable bilayer Hubbard model physics in twisted WSe2
• Directional Interlayer Spin-Valley Transfer in Two-Dimensional Heterostructures
• Gate-tunable heavy fermions in a moiré Kondo lattice
• A Microscopic Perspective on Moiré Materials
• One-Dimensional Luttinger Liquids in a Two-Dimensional Moiré Lattice
• Correlated interlayer exciton insulator in double layers of monolayer WSe2 and moiré WS2/WSe2
• Composite Fermi Liquid at Zero Magnetic Field in Twisted MoTe${}_2$
• Momentum-Dark Intervalley Exciton in Monolayer Tungsten Diselenide Brightened via Chiral Phonon
• Electronic structures, charge transfer and charge orders in twisted transition metal dichalcogenide bilayers
• Correlated insulator of excitons in WSe2/WS2 moiré superlattices
• Programming moiré patterns in 2D materials by bending
• Magic Angles and Fractional Chern Insulators in Twisted Homobilayer TMDs
• Chiral response of twisted bilayer graphene
• Mapping twist-tuned multiband topology in bilayer WSe${}_2$
• Valley-Polarized Quantum Anomalous Hall State in Moiré MoTe${}_2$/WSe${}_2$ Heterobilayers
• Direct measurement of key exciton properties: energy, dynamics and spatial distribution of the wave function
• Zero-field composite Fermi liquid in twisted semiconductor bilayers
• Highly nonlinear dipolar exciton-polaritons in bilayer MoS${}_2$
• Polarization-driven band topology evolution in twisted MoTe${}_2$ and WSe${}_2$
• Excitonic and valleytronic signatures of correlated states at fractional fillings of a moiré superlattice
• SU(4) chiral spin liquid, exciton supersolid and electric detection in moiré bilayers
• Polar meron-antimeron networks in strained and twisted bilayers
• Hyperspectral imaging of excitons within a moiré unit-cell with a sub-nanometer electron probe
• Maximally Localized Wannier Orbitals, Interaction Models and Fractional Quantum Anomalous Hall Effect in Twisted Bilayer MoTe2
• Layer Hall effect induced by hidden Berry curvature in antiferromagnetic insulators
• Pressure--enhanced fractional Chern insulators in moiré transition metal dichalcogenides along a magic line
• Intrinsic exciton states mixing and non-linear optical properties in transition metal dichalcogenide monolayers
• Excitons and trions in monolayer transition metal dichalcogenides: A comparative study between the multiband model and the quadratic single-band model
• Optical signatures of charge order in a Mott-Wigner state
• Origin of Model Fractional Chern Insulators in All Topological Ideal Flatbands: Explicit Color-entangled Wavefunction and Exact Density Algebra
• Berry Curvature and Quantum Metric in $N$-band systems -- an Eigenprojector Approach
• Topological Phases in AB-Stacked MoTe${}_2$/WSe${}_2$: ${\mathbb{Z}}_2$ Topological Insulators, Chern Insulators, and Topological Charge Density Waves
• Quantum anomalous Hall effect from inverted charge transfer gap
• Spin-Orbit Coupling in Transition Metal Dichalcogenide Heterobilayer Flat Bands
• Pair-density-wave and chiral superconductivity in twisted bilayer transition-metal-dichalcogenides
• Universal superlattice potential for 2D materials from twisted interface inside h-BN substrate
• Local probe of bulk and edge states in a fractional Chern insulator
• Non-local interactions in moiré Hubbard systems
• Microscopic Origin of the Valley Hall Effect in Transition Metal Dichalcogenides Revealed by Wavelength Dependent Mapping
• Tunable moiré materials for probing Berry physics and topology
• Multifaceted moiré superlattice physics in twisted WSe${}_2$ bilayers
• Metal-insulator transition in transition metal dichalcogenide heterobilayer moiré superlattices
• Piezoelectric networks and ferroelectric moiré superlattice domains in twistronic WS${}_2$/MoS${}_2$ and WSe${}_2$/MoSe${}_2$ bilayers
• Weak-field Hall Resistivity and Spin/Valley Flavor Symmetry Breaking in Magic-Angle Twisted Bilayer Graphene
• Non-Abelian fractionalization in topological minibands
• Interaction-driven topological phase diagram of twisted bilayer MoTe${}_2$
• Chiral Kondo Lattice in Doped MoTe${}_2$/WSe${}_2$ Bilayers
• Band mixing in the quantum anomalous Hall regime of twisted semiconductor bilayers
• Extended Bose-Hubbard model with dipolar excitons
• Excitonic Mott insulator in a Bose-Fermi-Hubbard system of moiré ${\mathrm{WS}}_2$/${\mathrm{WSe}}_2$ heterobilayer
• Quadrupolar Excitons and Hybridized Interlayer Mott Insulator in a Trilayer Moiré Superlattice
• Weak ferroelectric charge transfer in layer-asymmetric bilayers of 2D semiconductors
• Theory of tunable flux lattices in the homobilayer moiré of twisted and uniformly strained transition metal dichalcogenides
• Exciton density waves in Coulomb-coupled dual moiré lattices
• 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
• Observation of Rydberg moiré excitons
• Non-Abelian Fractional Quantum Anomalous Hall States and First Landau Level Physics in Second Moiré Band of Twisted Bilayer MoTe2
• Multiple Chern bands in twisted MoTe${}_2$ and possible non-Abelian states
• Nonlinear interactions of dipolar excitons and polaritons in MoS2 bilayers
• 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
• Designing Moiré Patterns by Strain
• Evidence for Exciton Crystals in a 2D Semiconductor Heterotrilayer
• Dissipationless Layertronics in Axion Insulator $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$
• Competition of Density Waves and Superconductivity in Twisted Tungsten Diselenide
• Time-Reversal Even Charge Hall Effect from Twisted Interface Coupling
• Spin-valley locked instabilities in moire transition metal dichalcogenides with conventional and higher-order Van Hove singularities
• Intrinsic spin Hall torque in a moire Chern magnet
• Interferences of electrostatic moiré potentials and bichromatic superlattices of electrons and excitons in transition metal dichalcogenides
• Magnetism and Quantum Melting in Moiré-Material Wigner Crystals
• Band energy landscapes in twisted homobilayers of transition metal dichalcogenides
• Moiré induced topology and flat bands in twisted bilayer WSe${}_2$: A first-principles study
• Optical selection rules for excitonic Rydberg series in the massive Dirac cones of hexagonal 2D materials
• Massive Dirac fermions in moiré superlattices: a route towards topological flat minibands
• Tunable Stripe Order and Weak Superconductivity in the Moiré Hubbard Model
• Nematic excitonic insulator in transition metal dichalcogenide moiré heterobilayers
• Chiral Pseudo Spin Liquids in Moire Heterostructures
• Intertwined fractional quantum anomalous Hall states and charge density waves
• Superconductivity in the twisted bilayer transition metal dichalcogenide WSe${}_2$ : a quantum cluster study
• Gate-tunable antiferromagnetic Chern insulator in twisted bilayer transition metal dichalcogenides
• Quantum Phases of Transition Metal Dichalcogenide Moiré Systems
• Superconductivity in twisted transition metal dichalcogenide homobilayers
• Excitonic Chern insulator and kinetic ferromagnetism in MoTe${}_2$/WSe${}_2$ moiré bilayer
• Theory of Generalized Landau Levels and Implication for non-Abelian States
• Fractional Chern insulators with a non-Landau level continuum limit
• Mixed singlet-triplet superconducting state within the moiré $t$-$J$-$U$ model as applied to the description of twisted WSe${}_2$ bilayer
• Theory of Correlated Insulators and Superconductor at $\nu =1$ in Twisted WSe${}_2$
• 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${}_2$
• 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${}_2$
• Higher vortexability: zero field realization of higher Landau levels
• Nematic, chiral and topological superconductivity in transition metal dichalcogenides
• Surface-Confined Two-Dimensional Crystal Growth on a Monolayer
• Layer pseudospin dynamics and genuine non-Abelian Berry phase in inhomogeneously strained moiré pattern
• Evidence for Two Dimensional Anisotropic Luttinger Liquids at Millikelvin Temperatures
• Hidden States and Dynamics of Fractional Fillings in tMoTe2 Moiré Superlattices
• Stability of fractional Chern insulators with a non-Landau level continuum limit
• Theory of polarization textures in crystal supercells
• Visualizing the microscopic origins of topology in twisted molybdenum ditelluride
• Fractional quantum anomalous Hall effect in a singular flat band
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
• Crossed Nonlinear Dynamical Hall Effect in Twisted Bilayers
• Quantum Geometry and Stabilization of Fractional Chern Insulators Far from the Ideal Limit
• Quantum anomalous Hall effect and electric-field-induced topological phase transition in AB-stacked MoTe${}_2$/WSe${}_2$ moiré heterobilayers
• Topological superconductivity with mixed singlet-triplet pairing in moiré transition-metal-dichalcogenide bilayers
• Superconductivity in twisted WSe${}_2$ from topology-induced quantum fluctuations
• Multiferroicity and Topology in Twisted Transition Metal Dichalcogenides
• Contrasting twisted bilayer graphene and transition metal dichalcogenides for fractional Chern insulators: an emergent gauge picture
• Distinct moiré textures of in-plane electric polarizations for distinguishing moiré origins in homobilayers
• Twist versus heterostrain control of optical properties of moiré exciton minibands
• Experimental signature of layer skyrmions and implications for band topology in twisted WSe2 bilayers
• Orbital Chern Insulator at $\nu =-2$ in Twisted MoTe${}_2$
• Exciton spectrum in atomically thin monolayers: The role of hBN encapsulation
• Spinon pairing induced by chiral in-plane exchange and the stabilization of odd-spin Chern number spin liquid in twisted ${\mathrm{MoTe}}_2$
• Exciton Superposition across Moiré States in a Semiconducting Moiré Superlattice
• Kondo effect and its destruction in hetero-bilayer transition metal dichalcogenides
• Quantum Melting of Generalized Wigner Crystals in Transition Metal Dichalcogenide Moiré Systems
• Non-Abelian spin Hall insulator
• Chiral and nodal superconductors in t-J model with valley contrasting flux on triangular moiré lattice
• Chiral excitonics in monolayer semiconductors on patterned dielectric
• Topological Kondo semimetal and insulator in AB-stacked heterobilayer transition metal dichalcogenides
• Mott insulators in moiré transition metal dichalcogenides at fractional fillings: Slave-rotor mean-field theory
• Hofstadter spectrum of Chern bands in twisted transition metal dichalcogenides
• Minimal Fractional Topological Insulator in half-filled conjugate moiré Chern bands
• Berry curvature, spin Hall effect and nonlinear optical response in moiré transition metal dichalcogenide heterobilayers
• Dynamical Chiral Nernst Effect in Twisted Van der Waals Few Layers
• Interlayer electric multipoles induced by in-plane field from quantum geometric origins
• Composite helical edges from Abelian fractional topological insulators
• Intrinsic Dipole Hall effect in twisted MoTe${}_2$: magnetoelectricity and contact-free signatures of topological transitions
• Correlated Topological Mixed-Valence Insulators in Moiré Hetero-Bilayers
• Tunable exciton valley-pseudospin orders in moiré Bose-Hubbard model
• Ultrafast control of moiré pseudo-electromagnetic field in homobilayer semiconductors
• Phonons of electronic crystals in two-dimensional semiconductor moiré patterns
• Anomalous magneto-optical response and chiral interface of dipolar excitons at twisted valleys
• Supersymmetry dictated topology in periodic gauge fields and realization in strained and twisted 2D materials
• Topological $p_x+i{p}_y$ inter-valley coherent state in Moiré MoTe${}_2$/WSe${}_2$ heterobilayers
• Layer Hall counterflow as a model probe of magic-angle twisted bilayer graphene
• Dipolar interactions enhanced by two-dimensional dielectric screening in few-layer van der Waals structures
• Coupled exciton internal and center-of-mass motions in two-dimensional semiconductors by a periodic electrostatic potential
• Melting of electronic and excitonic crystals in 2D semiconductor moiré patterns: a perspective from the Lindemann criterion
• Double exchange, itinerant ferromagnetism and topological Hall effect in moiré heterobilayer
• Layer Coherence Origin of Planar Hall Effect: from Charge to Multipole and Valley
• Topology, magnetism and charge order in twisted MoTe2 at higher integer hole fillings
• Colossal Layer Nernst Effect in Twisted Moiré Layers
• Superconductor-Insulator Transition in the TMD moiré systems and the Deconfined Quantum Critical Point
• When Could Abelian Fractional Topological Insulators Exist in Twisted MoTe${}_2$ (and Other Systems)
• Topological superconductivity from repulsive interactions in twisted WSe${}_2$

Cited by in corpus (2)

• Geometrical properties of strained and twisted moiré heterostructures
• Moire-Engineered Excitonic Landscape and Phonon-Mediated Recombination in Twisted WSe2 Bilayers