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Local Gauge Invariance and Formation of Topological Defects

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Abstract

In superconductors, and in other systems with a local U(1) gauge invariance, there are two mechanisms that form topological defects in phase transitions. In addition to the standard Kibble mechanism, thermal fluctuations of the magnetic field also lead to defect formation. This mechanism is specific to local gauge theories, predicts a qualitatively different spatial defect distribution and is the dominant source for topological defects in slow transitions. I review the arguments that lead to these conclusions and discuss possibilities of testing the scenario in superconductor experiments.

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REFERENCES

  1. T. W. Kibble, J. Phys. A 9, 1387 (1976).

    Google Scholar 

  2. I. Chuang et al., Science 251, 1336 (1991); M.J. Bowick et al., Science 263, 943 (1994).

    Google Scholar 

  3. C. Bäuerle et al., Nature 382, 332 (1996); J. Low Temp. Phys. 110, 13 (1998).

    Google Scholar 

  4. V.M.H. Ruutu et al., Nature 382, 334 (1996); V.M.H. Ruutu et al., Phys. Rev. Lett. 80, 1465 (1998).

    Google Scholar 

  5. M.E. Dodd et al, Phys. Rev. Lett. 81, 3703 (1998).

    Google Scholar 

  6. W. H. Zurek, Phys. Rept. 276, 177 (1996).

    Google Scholar 

  7. R. J. Rivers, E. Kavoussanaki and G. Karra, Cond. Matt. Phys. 3, 133 (2000).

    Google Scholar 

  8. R. Carmi and E. Polturak, Phys. Rev. B 60, 7595 (1999).

    Google Scholar 

  9. R. Carmi, E. Polturak and G. Koren, Phys. Rev. Lett. 84, 4966 (2000).

    Google Scholar 

  10. S. Rudaz and A.M. Srivastava, Mod. Phys. Lett. A 8, 1443 (1993); M. Hindmarsh, A. Davis and R. Brandenberger, Phys. Rev. D 49, 1944 (1994); T.W.B. Kibble and A. Vilenkin, Phys. Rev. D 52, 679 (1995).

    Google Scholar 

  11. M. Hindmarsh and A. Rajantie, Phys. Rev. Lett. 85, 4660 (2000).

    Google Scholar 

  12. H. Kleinert, Gauge fields in condensed matter, (World Scientific, Singapore, 1989).

    Google Scholar 

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Rajantie, A. Local Gauge Invariance and Formation of Topological Defects. Journal of Low Temperature Physics 124, 5–16 (2001). https://doi.org/10.1023/A:1017557314154

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