The spin Hall effect (SHE), in which electrical current generates transverse spin current, plays an important role in spintronics for the generation and manipulation of spin-polarized electrons [1][2][3][4][5][6][7] . The phenomenon originates from spin-orbit coupling. In general, stronger spin-orbit coupling favors larger SHEs but shorter spin relaxation times and diffusion lengths 1,4-7 . To achieve both large SHEs and longrange spin transport in a single material has remained a challenge. Here we demonstrate a giant intrinsic SHE in AB-stacked MoTe 2 /WSe 2 moiré bilayers by direct magneto optical imaging. Under moderate electrical currents with density < 1 A/m, we observe spin accumulation on transverse sample edges that nearly saturates the spin density. We also demonstrate long-range spin Hall transport and e cient nonlocal spin accumulation limited only by the device size (about 10 µm). The gate dependence shows that the giant SHE occurs only near the Chern insulating state, and at low temperatures, it emerges after the quantum anomalous Hall breakdown. Our results demonstrate moiré engineering of Berry curvature and large SHEs for potential spintronics applications.
MainThe spin Hall effect has two distinct mechanisms, intrinsic and extrinsic, in a material 7 . The intrinsic effect is caused by spin-orbit coupling in the material's electronic band structure, whereas the extrinsic effect is caused by spin-orbit coupling between electrons and impurities through scattering. Materials with large intrinsic SHEs are sought after for spintronics applications [4][5][6][7] . The intrinsic spin Hall conductivity is directly related to the spin-dependent Berry curvature, which acts like a magnetic eld in momentum space. Particularly, monolayer transition metal dichalcogenides (TMDs) with strong Ising spin-orbit coupling exhibit opposite Berry curvature at the K and K' valleys, which is also spin dependent due to spin-momentum locking [8][9][10][11][12] . The non-zero Berry curvature has manifested a valley and spin Hall effect in doped monolayer TMD semiconductors 13,14 . But the effect is weak because Berry curvature spreads over large momentum space near the K (K') point in the case of large band gaps. Tailoring the electronic band structure by forming moiré heterostructures, speci cally creating gapped band crossings with small gaps near the Fermi level, opens a new route to generate Berry curvature hotspots and large SHEs [15][16][17][18][19][20] .Moiré materials are a highly tunable electronic system, in which rich quantum phenomena from the effects of strong electronic correlations and nontrivial band topology have been realized [16][17][18][19][20] . One such example is AB-stacked (60-degree-aligned) MoTe 2 /WSe 2 moiré bilayers. The TMD bilayers form a triangular moiré lattice. But the Wannier orbitals of the topmost MoTe 2 and WSe 2 moiré valence states are centered at two different sublattice sites and form an effective honeycomb lattice [21][22][23] . The lowenergy physics can be mapped to the Kane-Mele m...