Possibility of Combining Ferroelectricity and Rashba-like spin splitting   in Monolayers of 1T-type Transition-Metal Dichalcogenides MX2
  First-principles calculations were carried out to explore the possible coupling between spin-polarized electronic states and ferroelectric polarization in monolayers of transition-metal dichalcogenides MX 2 (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-MoS 2 only, while the nonpolar polytype with zigzag metal clustering is predicted to stabilize for other transition-metal dichalcogenides with d 2 metal ions. 
Emilie Bruyer and Domenico Di Sante and Paolo Barone and Alessandro   Stroppa and Myung-Hwan Whangbo and Silvia Picozzi
cond-mat.str-el