https://www.washingtonpost.com/news/powerpost/wp/2016/04/23/...
It looks like solar-powered zeppelins are a thing, although with the brief googling I did it looks like nothing really exists just yet.
If the aircraft needs to stay in one place maybe that would be less efficient though, since it would be harder to fight winds.
https://en.wikipedia.org/wiki/JLENS
https://www.youtube.com/watch?v=NvJ2Ei8K2DI