A couple of weeks ago LG Display demonstrated 0.97 mm thick 55" OLED panels that stick to the wall using magnets. Several people told me they don't think this is real, but here's a video showing this display in action:

This is currently just a prototype, but hopefully LGD will manage to commercialize this panel soon. Towards the end of the video you can see that the panel (which weighs less than 2 Kg, by the way) is connected to the wall-mount using a small cable. The video also shows the new convex OLED panel prototypes.