Why the cold slows the battery down
Apple designs iPhones for ambient temperatures from 0 degrees upwards. The upper limit is 35 degrees. Outside this range, the device changes its behaviour to protect itself.
In the cold, the battery's internal resistance rises temporarily; Apple calls it impedance. The battery can then no longer deliver power as quickly as the electronics need it in a short moment. The voltage dips briefly, and if it drops below the level the device needs to work, it switches off to protect itself.
So this shutdown is intended, even if it feels like a fault. Apple describes it as a typical characteristic of all lithium-ion batteries, including the ones in Android phones.
