The only author I know of is Ali Shariati, and I have trouble finding his work. I linked his essay “Red Shiism vs. Black Shiism” as an example of what I potentially am looking for. Sorry if this is a bit if an odd request, this us my first Lemny post. Anything linked would be helpful.
The closest I could find are the communist parties in the Middle East. They seem to have rarely (or only latently) incorporated Shiism as a theology focussing rather on politics in the region - Mansoor Hekmat seems to have written prolifically here
I think finding literature that studies Shiism as a religious movement in the context of communism would be much more interesting.