I've been having this problem ever since my iPhone 6 arrived. Still no resolution even after installing the latest iOS update (8.1.1 12B436). I had hoped this update would fix the problem. (And no, there is no case blocking the proximity sensor, please don't suggest that again).
This is clearly a bug, and a LOT of users are running into it (searching Google or Apple Support Community reveals quite a few threads with this problem).
It is random. Usually, if the phone experiences an "event" while the screen is black (such as receiving a text message or another incoming call) it wakes up. There is no response to user input, pressing the home button, volume buttons, tapping power, or trying any screen touch does nothing. The call cannot be hung up. The only solution is to hard reset (hold power & home until the phone reboots).