Have you swapped monitors to see if it's the signal coming to the monitor or the monitor ?
Or:
The Nvidia dual monitor display software comes with an option to change output from monitor 1 to 2 and monitor 2 to 1. If you do this do you still get the green tint on monitor 2, the converted output ? That should tell you whether this is hardware related or something to do with the software settings.
Or:
The Nvidia dual monitor display software comes with an option to change output from monitor 1 to 2 and monitor 2 to 1. If you do this do you still get the green tint on monitor 2, the converted output ? That should tell you whether this is hardware related or something to do with the software settings.