Second display in a row stopped working

After getting the new Retina Macbook Pro in October, my two year old (purchased used) Cinema Display stopped working within a day or two of connecting it to my new laptop. I took it to the Apple Store and was told it would cost $600 to fix it, so I opted to buy a refurbished Thunderbolt Display instead. Now after using the Thunderbolt Display for three months, it stopped working just as suddenly as my previously display. I hook my laptop up to it as usual, but the display stays blank. It will charge my laptop as normal, but the display appears to be off otherwise.

Has anyone had any issues like this? Could it be related to the new laptop? The previous display worked great for two years until I hoooked it up to my Macbook Pro.