Hello Alexander,
I am a repair tech and we recently had a lot of the Galaxy Nexus 4s come in, I saw that when the battery died all the way they went into a "deep sleep" mode. I would hold down the power and volume down button and plug it into the charger while still holding the buttons down. If that doesn't work I would hold the middle of the volume buttons and power button and plug it in. If none of that works leave it on the charger for around an hour or two and then try the steps above!
Hope this helps!!