Theory of intervalley-coherent AFM order and topological superconductivity in tWSe${}_2$

Abstract

The recent observation of superconductivity in the vicinity of Fermi surface reconstructed insulating or metallic states has established twisted bilayers of WSe\textsubscript{2} as an exciting platform to study the interplay of strong electron-electron interactions, broken symmetries and topology. In this work, we use a first-principles, material-specific theoretical treatment that is unbiased with respect to electronic instabilities to study the emergence of electronic ordering in twisted WSe\textsubscript{2} driven by gate-screened Coulomb interactions. We construct exponentially localized moiré Wannier orbitals that faithfully capture the bandstructure and topology of the system, project the gate-screened Coulomb interaction onto them and use unbiased functional renormalization group techniques to resolve the momentum and orbital structure of the leading instabilities and the relevant energy scales. We find an interplay between intervalley-coherent antiferromagnetic (IVC-AFM) order and chiral, mixed-parity $d/p$-wave superconductivity for carrier concentrations near a displacement field and twist-angle-tunable van-Hove singularity. Our microscopic approach establishes incommensurate IVC-AFM spin fluctuations as the dominant electronic mechanism driving the formation of superconductivity in $\theta =5.08^{\circ }$ twisted WSe\textsubscript{2} and explains key aspects of recent experiments including the asymmetric density dependence of the spin ordering with respect to the van-Hove line, the single and double-peak structure of the DOS in the ordered (hole-doped) IVC-AFM phase, the emergence of superconductivity as the density is varied across the van-Hove line and the evolution of the displacement field-density phase diagram with twist angles between $3.7^{\circ }\dots 5^{\circ }$.

18 pages, 9 figures, Physical Review X

References in corpus (69)

• The density-matrix renormalization group in the age of matrix product states
• Classification of topological insulators and superconductors in three spatial dimensions
• 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
• The nonperturbative functional renormalization group and its applications
• Moiré heterostructures as a condensed matter quantum simulator
• Integer and fractional Chern insulators in twisted bilayer MoTe2
• Superconductivity in rhombohedral trilayer 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
• Strongly correlated excitonic insulator in atomic double layers
• MATBG as Topological Heavy Fermion: I. Exact Mapping and Correlated Insulators
• Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe${}_2$
• Superconductivity in twisted bilayer WSe${}_2$
• Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides
• Programming Correlated Magnetic States via Gate Controlled Moiré Geometry
• The Quantum Twisting Microscope
• Quantum textures of the many-body wavefunctions in magic-angle graphene
• Twistons in a Sea of Magic
• Gate-tunable heavy fermions in a moiré Kondo lattice
• Signatures of Chiral Superconductivity in Rhombohedral Graphene
• Electronic structures, charge transfer and charge orders in twisted transition metal dichalcogenide bilayers
• Correlated insulator of excitons in WSe2/WS2 moiré superlattices
• Polarization-driven band topology evolution in twisted MoTe${}_2$ and WSe${}_2$
• Competing phases of interacting electrons on triangular lattices in moiré heterostructures
• Charge Transfer Excitations, Pair Density Waves, and Superconductivity in Moiré Materials
• Unconventional Superconductivity in Magic-Angle Twisted Trilayer Graphene
• Intertwined spin, charge and pair correlations in the two-dimensional Hubbard model in the thermodynamic limit
• Observation of electrically tunable Feshbach resonances in twisted bilayer semiconductors
• Interaction-driven topological phase diagram of twisted bilayer MoTe${}_2$
• Heavy quasiparticles and cascades without symmetry breaking in twisted bilayer graphene
• Chiral Kondo Lattice in Doped MoTe${}_2$/WSe${}_2$ Bilayers
• Topological superconductivity in doped magnetic moiré semiconductors
• Dynamical Mean Field Theory of Moiré Bilayer Transition Metal Dichalcogenides: Phase Diagram, Resistivity, and Quantum Criticality
• Spin-fluctuation-induced pairing in twisted bilayer graphene
• Dynamical correlations and order in magic-angle twisted bilayer graphene
• TMDs as a platform for spin liquid physics: A strong coupling study of twisted bilayer WSe${}_2$
• New mechanism and exact theory of superconductivity from strong repulsive interaction
• Competition of Density Waves and Superconductivity in Twisted Tungsten Diselenide
• Reference results for the momentum space functional renormalization group
• The Orbitally Selective Mott Phase in Electron Doped Twisted TMDs: A Possible Realization of the Kondo Lattice Model
• Does filling-dependent band renormalization aid pairing in twisted bilayer graphene?
• Tunable Stripe Order and Weak Superconductivity in the Moiré Hubbard Model
• Superconductivity in twisted transition metal dichalcogenide homobilayers
• Tunable Feshbach resonances and their spectral signatures in bilayer semiconductors
• TU${}^2$FRG -- a scalable approach for truncated unity functional renormalization group in generic fermionic models
• 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${}_2$
• Bridging the small and large in twisted transition metal dicalcogenide homobilayers: a tight binding model capturing orbital interference and topology across a wide range of twist angles
• Nematic, chiral and topological superconductivity in transition metal dichalcogenides
• Kagome chiral spin liquid in transition metal dichalcogenide moiré bilayers
• Visualizing the microscopic origins of topology in twisted molybdenum ditelluride
• Staggered Pseudo Magnetic Field in Twisted Transition Metal Dichalcogenides: Physical Origin and Experimental Consequences
• divERGe implements various Exact Renormalization Group examples
• Superconductivity in twisted WSe${}_2$ from topology-induced quantum fluctuations
• Twist-angle evolution of the intervalley-coherent antiferromagnet in twisted WSe${}_2$
• Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe${}_2$
• Spinon pairing induced by chiral in-plane exchange and the stabilization of odd-spin Chern number spin liquid in twisted ${\mathrm{MoTe}}_2$
• Kondo effect and its destruction in hetero-bilayer transition metal dichalcogenides
• Topological Kondo semimetal and insulator in AB-stacked heterobilayer transition metal dichalcogenides
• Switching between Mott-Hubbard and Hund physics in moiré quantum simulators
• Spin and Charge Fluctuation Induced Pairing in ABCB Tetralayer Graphene
• Attractive Haldane bilayers for trapping non-Abelian anyons
• Approximate symmetries, insulators, and superconductivity in continuum-model description of twisted WSe${}_2$
• Supercell Wannier functions and a faithful low-energy model for Bernal bilayer graphene
• Feshbach Resonances in Exciton-Charge-Carrier Scattering in Semiconductor Bilayers

Cited by in corpus (5)

• Site-polarized Mott phases competing with a correlated metal in twisted WSe${}_2$
• Kekulé order from diffuse nesting near higher-order Van Hove points
• Stripe antiferromagnetism and chiral superconductivity in tWSe${}_2$
• Onset of spin-valley order and Stoner boundaries in twisted WSe${}_2$
• Surface Functional Renormalization Group for Layered Quantum Materials