Spontaneous vortex formation on a superconductor film

We carry out numerical simulations to investigate spontaneous vortex formation during a temperature quench of a superconductor film from the normal to the superconducting phase in the absence of an external magnetic field. Our results agree roughly with quantitative predictions of the flux trapping scenario: In fast quenches the agreement is almost perfect, but there appears to be some discrepancy in slower ones. In particular, our simulations demonstrate the crucial role the electromagnetic field plays in this phenomenon, making it very different from vortex formation in superfluids. Besides superconductor experiments, our findings also shed more light on the possible formation of cosmic defects in the early universe.