For some reason, while in DX11 the Aftcastle area for Limsa Lominsa seems to cause my computer to "enter power saver" mode, the screen turns black, and any sound that was being played will be stuck repeating it indefinitely. I've checked and it doesn't look like my PC is over heating, so I'm not sure what seems to be going on.
I can generally stay in that area for a little while when first starting the game, but not for too long. Certain areas specifically cause this problem, such as the area for the Maelstrom Command, the Missing Member, and it cut out on me at the Bismarck during a cut scene. Every other place in the game, so far, seems to run perfectly fine with no hiccups or issues.
I've currently got a NVIDIA Geforce GTX 970, Intel Core I7-3770 CPU, and running on Windows 7.