The most obvious thing to check is that your phone's charger is indeed plugged into a active wall outlet, or power strip. Outside of that, looking up specs on your phone it does have a removable battery (a lot of phones don't) so you might want to remove the back cover plate and just pull the battery, wait a minute or so, then put it back in -- could be your phone just needs to have some glitch cleared and removing all power might help. Do you see any indicator light at all when you try to start up your phone?
Hopefully it's not completely dead but if so one consolation is that's a new enough model that you're still covered by a warranty.