Nexus 4 drops connection to sim card when battery is low(ish)

Hi,

new here, so I hope this is the correct forum since I couldn't find one for the Nexus 4 specifically.

For a few weeks now, my Nexus 4 has occasionally lost the connection to the sim card. It won't have any connection to a network (indicator in the status bar is an empty outline) and a few seconds later it will show the prompt to enter the sim's pin that normally only gets shown right after boot.
I have tried different sim cards, the problem lies with the phone.
This primarily happens...

Nexus 4 drops connection to sim card when battery is low(ish)

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