We have imaged spontaneously created arrays of vortices (magnetic flux quanta), generated in a superconducting film quenched through its transition temperature at rates around 10 9 K/s. From these images, we calculated the positional correlation functions for two vortices and for 3 vortices. We compared our results with simulations of the time dependent Ginzburg Landau equation in 2D. The results are consistent with the Kibble-Zurek scenario of spontaneous vortex creation. Effects due to fluctuations of the gauge field on the correlation functions are below our experimental resolution.
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Acknowledgements We thank S. Lipson and E. Buks for their contribution to this experiment. We thank S. Hoida, L. Iomin and O. Shtempluk for technical assistance. This work was supported in part by the Israel Science Foundation (Grant No. 499/07) and by the Minerva and DIP projects.
- Kibble-Zurek mechanism
- Magneto-optical imaging
- TDGL simulations