First-principles calculations were carried out to explore the possible coupling between spinpolarized electronic states and ferroelectric polarization in monolayers of transition-metal dichalcogenides MX2 (M = Mo, W; X = S, Se, Te) with distorted octahedrally coordinated 1T structures. For d 2 metal ions, two competing metal clustering effects can take place, where metal ions are arranged in trimers or zigzag chains. Among these, the former structural distortion comes along with an improper ferroelectric phase which persists in the monolayer limit. Switchable Rashba-like spin-polarization features are predicted in the trimerized polytype, which can be permanently tuned by acting on its ferroelectric properties. The polar trimerized structure is found to be stable for 1T-MoS2 only, while the nonpolar polytype with zigzag metal clustering is predicted to stabilize for other transition-metal dichalcogenides with d 2 metal ions.In recent years, phenomena emerging from relativistic electrons in solids have been object of an everincreasing attention. Among other effects, relativistic spin-orbit coupling (SOC) provides a mechanism for spinmomentum locking that is appealing for spintronic applications aimed at an all-electric control of spin transport. SOC may lead to topologically non-trivial insulating states, characterized by the presence of fully spinpolarized symmetry-protected metallic surface states 1 , or it can give rise to Dresselhaus and Rashba effects in noncentrosymmetric and polar materials 2-4 . More recently, it has been understood that SOC also mediates a spinvalley coupling which is responsible, in noncentrosymmetric materials, for the appearance of valley-contrasting effects, such as valley-selective optical excitations and valley Hall response 5 . The lack of inversion symmetry in semi-metallic materials with sizeable spin-orbit coupling may also lead to band structures with non-trivial topology, realizing the so-called Weyl semi-metal phase characterized by pairs of monopoles of Berry curvature in momentum space and topologically protected Fermi arcs in their surfaces 6 .The class of binary transition-metal dichalcogenides MX 2 (where M = Mo, W and X = S, Se, Te) provides an interesting playground where relativistic electronic phenomena can emerge from the relatively strong SOC of 4d and 5d metal ions. Several polytypes of these layered compounds can be synthetized, and monolayers can be extracted from the bulk using mechanical or chemical exfoliation methods 7 . Monolayers of transition-metal dichalcogenide MoS 2 have been put forward as prototypical valley-active systems, and they have been object of an intense research activity with the aim of establishing their potential appeal for valleytronic applications 5,[8][9][10] .The most common bulk phase of MoS 2 , the so-called 2H polytype 11 , comprises two layers of edge-sharing MoS 6 trigonal prisms in its centrosymmetric unit cell (space group P 6 3 /mmc), each layer individually lacking inversion symmetry. MoS 2 monolayers obtained via mechanical...