This type of generator is interesting at a theoretical level, but I don't see it being very practical.
The researchers currently report 25 mW/m2, and think they can improve to 0.5 W/m2. In comparison, a solar panel can give you 200 W/m2.
And, as with solar panels, this technology requires a clear sky. If it is overcast, the sky temperature will be higher, and reduce the available temperature difference. This approach requires the ground to be warmer than the sky to work.