Hi @Ạnh and sorry to hear about this. 
Is there any change when you charge the device when it's rebooted in safe mode? In safe mode downloaded applications aren't loaded, so we can see if any of them is the cause of this behaviour.
If you have a friend, colleague or family member that has also have an Xperia device, you can ask them if you can borrow their charger/cable and see if it works to charge the device when it's powered on and not rebooted in safe mode.
Let me know how it goes!
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