TIL Ancient Persians built Yakhchāls, innovative ice storage structures dating back to 400 BC. These dome-shaped coolers used evaporative cooling to keep ice frozen even during hot summers.
TIL Ancient Persians built Yakhchāls, innovative ice storage structures dating back to 400 BC. These dome-shaped coolers used evaporative cooling to keep ice frozen even during hot summers.

www.utubepublisher.in
Yakhchāl - Ancient Desert “FREEZER” Invented Around 400 bc In Persia

What's stopping us from using similar techniques in hot climates now? Why aren't we building similar structures as homes in Phoenix instead of the standard suburban homes?
Probably because you still need a lot of water for this to work.
Or a clever contraption with something with a lower evaporation point and a closed loop that catches the evaporated fumes for reuse. Maybe add the ability to speed up the process with a little electricity and you've got modern AC.
I am not an engineer, but PV-panels (or wind turbine or any other power generation system) and an AC might achieve a better result using less space?
You can. You can get evaporative coolers (in the US, sometimes called swamp coolers). I have one. They use much less power per unit of cooling than air conditioners, but come with some drawbacks:
There are also some benefits:
I understand that there are also some hybrid "evaporative-assisted" air conditioners that have the air conditioner dumping heat into what amounts to an evaporative cooler. That'd get some of the efficiency benefits of an evaporative cooler without the humidity constraints.
You can find them in the hot, arid American West, where the conditions work well for them.
https://www.usgs.gov/media/images/evaporative-coolers-work-best-dry-areas-us-area-a