Coexisting commensurate pair density waves in 6R-TaS₂

Transition metal dichalcogenides (TMDs) hosting multiple intertwined electronic orders provide an important platform for exploring the interplay between competing quantum phases. The noncentrosymmetric 6R-TaS₂ features an alternating stacking of 1T and 1H layers, integrating the electron correlation of the 1T phase, superconductivity of the 1H phase, and their distinct charge density wave (CDW) states within a single material. However, despite these rich ingredients, the microscopic interplay between CDW order and superconductivity in 6R-TaS₂ remains largely unexplored. Here we report scanning tunneling microscopy/spectroscopy measurements on the 1H surface of 6R-TaS₂, revealing a spatially modulated superconducting gap. Fourier analysis uncovers two coexisting commensurate pair density wave (PDW) orders: an 1a₀×1a₀ modulation locked to the atomic lattice and a 3a₀×3a₀ modulation intertwined with the CDW state. The coexistence of these two sets of PDWs indicates a strong coupling between superconductivity and the underlying electronic superstructures. Our results provide direct spectroscopic evidence for intertwined superconducting orders and establish 6R-TaS₂ as a unique platform for investigating unconventional pairing states in layered quantum materials