TMDs as a platform for spin liquid physics: A strong coupling study of twisted bilayer WSe${}_2$

Abstract

The advent of twisted moiré heterostructures as a playground for strongly correlated electron physics has led to a plethora of experimental and theoretical efforts seeking to unravel the nature of the emergent superconducting and insulating states. Amongst these layered compositions of two dimensional materials, transition metal dichalcogenides (TMDs) are by now appreciated as highly-tunable platforms to simulate reinforced electronic interactions in the presence of low-energy bands with almost negligible bandwidth. Here, we focus on the twisted homobilayer WSe${}_2$ and the insulating phase at half-filling of the flat bands reported therein. More specifically, we explore the possibility of realizing quantum spin liquid (QSL) physics on the basis of a strong coupling description, including up to second nearest neighbor Heisenberg couplings $J_1$ and $J_2$, as well as Dzyaloshinskii-Moriya (DM) interactions. Mapping out the global phase diagram as a function of an out-of-plane displacement field, we indeed find evidence for putative QSL states, albeit only close to SU$(2)$ symmetric points. In the presence of finite DM couplings and XXZ anisotropy, long-range order is predominantly present, with a mix of both commensurate and incommensurate magnetic phases.

12 pages, 5 figures, supplemental material (3 pages, 1 figure)

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• Competition of Density Waves and Superconductivity in Twisted Tungsten Diselenide
• Tunable Stripe Order and Weak Superconductivity in the Moiré Hubbard Model
• Gate-tunable antiferromagnetic Chern insulator in twisted bilayer transition metal dichalcogenides
• Mixed singlet-triplet superconducting state within the moiré $t$-$J$-$U$ model as applied to the description of twisted WSe${}_2$ bilayer
• 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
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• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
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• Staggered Pseudo Magnetic Field in Twisted Transition Metal Dichalcogenides: Physical Origin and Experimental Consequences
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• Topological superconductivity with mixed singlet-triplet pairing in moiré transition-metal-dichalcogenide bilayers
• Moiré Engineering of Spin-Orbit Coupling in Twisted Platinum Diselenide
• Magic-angle Twisted Bilayer Systems with Quadratic-Band-Touching: Exactly Flat Bands with High-Chern Number
• Cavity Moiré Materials: Controlling Magnetic Frustration with Quantum Light-Matter Interaction
• 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 ${\mathrm{MoTe}}_2$
• Theory of intervalley-coherent AFM order and topological superconductivity in tWSe${}_2$
• Topological Kondo semimetal and insulator in AB-stacked heterobilayer transition metal dichalcogenides
• Proximity-driven ferromagnetism and superconductivity in the triangular Rashba-Hubbard model
• Approximate symmetries, insulators, and superconductivity in continuum-model description of twisted WSe${}_2$
• Excitonic thermalization bottleneck in twisted TMD heterostructures
• Flattening conduction and valence bands for interlayer excitons in a moiré MoS${}_2$/WSe${}_2$ heterobilayer
• Charge and spin properties of a generalized Wigner crystal realized in the moiré WSe${}_2$/WS${}_2$ heterobilayer
• Exciton interacting with a moiré lattice: Polarons, strings, and optical probing of spin correlations
• Schwinger boson study of the $J_1$-$J_2$-$J_3$ kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Topological Interlayer Superconductivity in a van der Waals Heterostructure
• Drag resistance mediated by quantum spin liquids
• Unconventional orders in the maple-leaf ferro-antiferromagnetic Heisenberg model
• Itinerant magnetism in the triangular lattice Hubbard model at half-doping: Application to twisted transition-metal dichalcogenides