Unfortunately, it seems that a problem is now cropping up for some Note 8 owners. People are reporting that once the device hits 0% charge, it will no longer charge at all. Even leaving it on the charger overnight will do nothing.
A 0% charge doesn’t mean that the battery is empty. Fully discharging lithium ion cells damages them, so a “dead” battery actually has some charge left in it. Maybe Samsung set the limit too low to compensate for the smaller battery or maybe it’s just a charging circuit flaw.
If you face this issue, you’ll have to return your device. It likely means waiting for a few weeks if it’s through Samsung customer service. Let us know if you’ve experienced this bug in the comments.