Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe${}_2$

Abstract

Since the very recent discovery of unconventional superconductivity in twisted WSe${}_2$ homobilayers at filling $\nu =-1$, considerable interest has arisen in revealing its mechanism. In this paper, we developed a three-band tight-binding model with non-trivial band topology by direct Wannierization of the low-energy continuum model. Incorporating both onsite Hubbard repulsion and next-nearest-neighbor attraction, we then performed a mean-field analysis of the microscopic model and obtained a phase diagram qualitatively consistent with the experiment results. For zero or weak displacement field, the ground state is a Chern number $C=\pm 2$ topological superconductor in the Altland-Zirnbauer A-class (breaking time-reversal but preserving total $S_z$ symmetry) with inter-valley pairing dominant in $d_{xy}\pm i{d}_{x^2-y^2}$-wave (mixing with a subdominant $p_x\mp i{p}_y$-wave) component. For a relatively strong displacement field, the ground state is a correlated insulator with the $120^{\circ }$ antiferromagnetic order. Our results provide new insights into the nature of the twisted WSe${}_2$ systems and suggest the need for further theoretical and experimental explorations.

arXiv comment22 pages, 12 figures, 2 tables

References in corpus (92)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Classification of topological insulators and superconductors in three spatial dimensions
• Moire bands in twisted double-layer graphene
• Classification of topological quantum matter with symmetries
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Tuning superconductivity in twisted bilayer graphene
• Two-dimensional materials from high-throughput computational exfoliation of experimentally known compounds
• 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
• Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Graphene Bilayers with a Twist
• 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
• Superfluidity in topologically nontrivial flat bands
• Moiré heterostructures as a condensed matter quantum simulator
• Quantum anomalous Hall effect from intertwined moiré bands
• Integer and fractional Chern insulators in twisted bilayer MoTe2
• Theory of phonon-mediated superconductivity in twisted bilayer graphene
• Electric field tunable unconventional superconductivity in alternating twist magic-angle trilayer graphene
• Superconductivity in rhombohedral trilayer graphene
• Observation of half-integer thermal Hall conductance
• Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene
• Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
• Twisted Bilayer Graphene: A Phonon Driven Superconductor
• Superconductivity without insulating states in twisted bilayer graphene stabilized by monolayer WSe${}_2$
• Geometric origin of superfluidity in the Lieb lattice flat band
• Superfluidity and Quantum Geometry in Twisted Multilayer Systems
• Continuous Mott transition in semiconductor moiré superlattices
• Quantum Criticality in Twisted Transition Metal Dichalcogenides
• Band geometry, Berry curvature and superfluid weight
• MATBG as Topological Heavy Fermion: I. Exact Mapping and Correlated Insulators
• Phases of a phenomenological model of twisted bilayer graphene
• Observed Quantization of Anyonic Heat Flow
• Phonon-induced giant linear-in-$T$ resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity
• Spin-Orbit Enhanced Superconductivity in Bernal Bilayer Graphene
• Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe${}_2$
• Shubnikov-de Haas oscillations of high mobility holes in monolayer and bilayer WSe${}_2$: Landau level degeneracy, effective mass, and negative compressibility
• Charged Skyrmions and Topological Origin of Superconductivity in Magic Angle Graphene
• Pairing symmetry of interacting fermions on twisted bilayer graphene superlattice
• Possible correlated insulating states in magic-angle twisted bilayer graphene under strongly competing interactions
• Superconductivity in twisted bilayer WSe${}_2$
• Tunable bilayer Hubbard model physics in twisted WSe2
• Quantum Phase Diagram of a Moiré-Hubbard Model
• Hartree-Fock study of the moiré Hubbard model for twisted bilayer transition metal dichalcogenides
• Superfluid weight bounds from symmetry and quantum geometry in flat bands
• Signatures of Chiral Superconductivity in Rhombohedral Graphene
• Inter-valley coherent order and isospin fluctuation mediated superconductivity in rhombohedral trilayer graphene
• Mapping twist-tuned multiband topology in bilayer WSe${}_2$
• Coulomb interaction, phonons, and superconductivity in twisted bilayer graphene
• Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene
• Polarization-driven band topology evolution in twisted MoTe${}_2$ and WSe${}_2$
• Tunable superconductivity in electron- and hole-doped Bernal bilayer graphene
• Superconductivity and quantized anomalous Hall in rhombohedral graphene
• Maximally Localized Wannier Orbitals, Interaction Models and Fractional Quantum Anomalous Hall Effect in Twisted Bilayer MoTe2
• Acoustic-phonon-mediated superconductivity in Bernal bilayer graphene
• Wannier Pairs in the Superconducting Twisted Bilayer Graphene and Related Systems
• Pair-density-wave and chiral superconductivity in twisted bilayer transition-metal-dichalcogenides
• Superconductivity in Twisted Double Bilayer Graphene Stabilized by WSe${}_2$
• Unconventional superconductivity on the triangular lattice Hubbard model
• Theory of correlated insulators and superconductivity in twisted bilayer graphene
• Stable topological phases in a family of two-dimensional fermion models
• Topological superconductivity in doped magnetic moiré semiconductors
• Nematicity and Orbital Depairing in Superconducting Bernal Bilayer Graphene with Strong Spin Orbit Coupling
• TMDs as a platform for spin liquid physics: A strong coupling study of twisted bilayer WSe${}_2$
• A DMRG Study of Superconductivity in the Triangular Lattice Hubbard Model
• Competition of Density Waves and Superconductivity in Twisted Tungsten Diselenide
• Nematic superconductivity in magic-angle twisted bilayer graphene from atomistic modeling
• Nodal band-off-diagonal superconductivity in twisted graphene superlattices
• Moiré induced topology and flat bands in twisted bilayer WSe${}_2$: A first-principles study
• Tunable Stripe Order and Weak Superconductivity in the Moiré Hubbard Model
• Local Kekulé distortion turns twisted bilayer graphene into topological Mott insulators and superconductors
• Molecular Pairing in Twisted Bilayer Graphene Superconductivity
• Superconductivity in the twisted bilayer transition metal dichalcogenide WSe${}_2$ : a quantum cluster study
• Superconductivity in twisted transition metal dichalcogenide homobilayers
• Orbital Fulde-Ferrell pairing state in moiré Ising superconductors
• 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${}_2$
• Nematic, chiral and topological superconductivity in transition metal dichalcogenides
• 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
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
• Electron-K-Phonon Interaction In Twisted Bilayer Graphene
• Topological superconductivity with mixed singlet-triplet pairing in moiré transition-metal-dichalcogenide bilayers
• Superconductivity in twisted WSe${}_2$ from topology-induced quantum fluctuations
• Chiral and nodal superconductors in t-J model with valley contrasting flux on triangular moiré lattice
• Unconventional superconductivity with preformed pairs in twisted bilayer graphene
• Electron phonon coupling in the topological heavy fermion model of twisted bilayer graphene

Cited by in corpus (7)

• Theory of intervalley-coherent AFM order and topological superconductivity in tWSe${}_2$
• Topological Chiral Superconductivity Mediated by Intervalley Antiferromagnetic Fluctuations in Twisted Bilayer WSe${}_2$
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Candidate for a Fractional Topological Insulator in Twisted MoTe2
• Site-polarized Mott phases competing with a correlated metal in twisted WSe${}_2$
• Onset of spin-valley order and Stoner boundaries in twisted WSe${}_2$
• Stripe antiferromagnetism and chiral superconductivity in tWSe${}_2$