LED display == solar cell run backwards
Teh fizzicks of an LED display, if I remember rightly, is the same as that of a standard photovoltaic cells:
Electron on high-voltage side of junction <-> photon + low-voltage electron.
Therefore if your phone has an LED display it should be able to push a trickly charge-voltage with only minimal rewiring behind the scenes. In fact this is an occasionally-used test procedure for PV cells, to run them backwards and see what comes out.
It has been bothering me for a while that I can't harvest power from my LED telly when it is turned off, multiple square metres of perfectly good PV cell should be in use, even if it is only enough to drive the standy mode, that is better than nothing! Can anyone explain why this is not already a reality?