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A new holographic metal/superconductor phase transition model

Yan Peng

School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong, Shaanxi 723000, P. R. China

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Xiaoyang Xu

School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong, Shaanxi 723000, P. R. China

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, and

Guohua Liu

School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong, Shaanxi 723000, P. R. China

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https://doi.org/10.1142/S0217732315500431Cited by:0 (Source: Crossref)

Abstract

We study a holographic superconductor model with Stückelberg mechanism in the four-dimensional AdS black hole background. We explore the effects of the model parameters on the scalar condensation and conclude that this new model allows first-order phase transitions to occur when the model parameter is above a threshold value. Finally, we examine the effects of the back-reaction parameters on the threshold values.

Keywords:

PACS: 11.25.Tq, 04.70.Bw, 74.20.-z

References

1. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998). Crossref, ADS, Google Scholar
2. S. S. Gubser, I. R. Klebanov and A. M. Polyako, Phys. Lett. B 428, 105 (1998). Crossref, Web of Science, ADS, Google Scholar
3. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998). Crossref, ADS, Google Scholar
4. S. A. Hartnoll, Class. Quantum Grav. 26, 224002 (2009). Crossref, Web of Science, ADS, Google Scholar
5. C. P. Herzog, J. Phys. A 42, 343001 (2009). Crossref, Google Scholar
6. G. T. Horowitz, Lect. Notes Phys. 828, 313 (2011). Crossref, ADS, Google Scholar
7. G. T. Horowitz and M. M. Roberts, Phys. Rev. D 78, 126008 (2008). Crossref, Web of Science, ADS, Google Scholar
8. E. Nakano and W. Y. Wen, Phys. Rev. D 78, 046004 (2008). Crossref, Web of Science, ADS, Google Scholar
9. G. Koutsoumbas, E. Papantonopoulos and G. Siopsis, JHEP 0907, 026 (2009). Crossref, Web of Science, ADS, Google Scholar
10. J. Sonner, Phys. Rev. D 80, 084031 (2009). Crossref, Web of Science, ADS, Google Scholar
11. S. S. Gubser, C. P. Herzog, S. S. Pufu and T. Tesileanu, Phys. Rev. Lett. 103, 141601 (2009). Crossref, Web of Science, ADS, Google Scholar
12. S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, JHEP 0812, 015 (2008). Crossref, Web of Science, ADS, Google Scholar
13. Y. Q. Liu, Q. Y. Pan and B. Wang, Phys. Lett. B 702, 94 (2011). Crossref, Web of Science, ADS, Google Scholar
14. Y. Peng, X. M. Kuang, Y. Q. Liu and B. Wang, arXiv:1106.4353. Google Scholar
15. J. P. Gauntlett, J. Sonner and T. Wiseman, Phys. Rev. Lett. 103, 151601 (2009). Crossref, Web of Science, ADS, Google Scholar
16. J. L. Jing and S. B. Chen, Phys. Lett. B 686, 68 (2010). Crossref, Web of Science, ADS, Google Scholar
17. C. P. Herzog, Phys. Rev. D 81, 126009 (2010). Crossref, Web of Science, ADS, Google Scholar
18. K. Maeda, M. Natsuume and T. Okamura, Phys. Rev. D 79, 126004 (2009). Crossref, Web of Science, ADS, Google Scholar
19. R. Gregory, S. Kanno and J. Soda, JHEP 0910, 010 (2009). Crossref, Web of Science, ADS, Google Scholar
20. Q. Y. Pan, B. Wang, E. Papantonopoulos, J. Oliveira and A. B. Pavan, Phys. Rev. D 81, 106007 (2010). Crossref, Web of Science, ADS, Google Scholar
21. X. H. Ge, B. Wang, S. F. Wu and G. H. Yang, JHEP 1008, 108 (2010). Crossref, Web of Science, ADS, Google Scholar
22. Y. Brihaye and B. Hartmann, Phys. Rev. D 81, 126008 (2010). Crossref, Web of Science, ADS, Google Scholar
23. Y. Brihaye and B. Hartmann, Phys. Rev. D 83, 126008 (2011). Crossref, Web of Science, ADS, Google Scholar
24. S. S. Gubser, Phys. Rev. D 78, 065034 (2008). Crossref, Web of Science, ADS, Google Scholar
25. S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, Phys. Rev. Lett. 101, 031601 (2008). Crossref, Web of Science, ADS, Google Scholar
26. C. P. Herzog, P. K. Kovtun and D. T. Son, Phys. Rev. D 79, 066002 (2009). Crossref, Web of Science, ADS, Google Scholar
27. G. T. Horowitz and B. Way, JHEP 1011, 011 (2010). Crossref, Web of Science, ADS, Google Scholar
28. D. V. Uvarov, Mod. Phys. Lett. A 29, 1350183 (2014). Link, Web of Science, ADS, Google Scholar
29. S. Cheng, F.-J. Xu and F.-Z. Yang, Mod. Phys. Lett. A 29, 1450061 (2014). Link, Web of Science, ADS, Google Scholar
30. S. Franco, A. M. Garcia-Garcia and D. Rodriguez-Gomez, JHEP 1004, 092 (2010). Crossref, Web of Science, ADS, Google Scholar
31. S. Franco, A. M. Garcia-Garcia and D. Rodriguez-Gomez, Phys. Rev. D 81, 041901(R) (2010). Crossref, Web of Science, ADS, Google Scholar
32. Q. Y. Pan and B. Wang, Phys. Lett. B 693, 159 (2010). Crossref, Web of Science, ADS, Google Scholar
33. Y. Peng, and Q. Y. Pan, Commun. Theor. Phys. 59, 110 (2013). Crossref, Web of Science, ADS, Google Scholar
34. P. Yan, Q. Y. Pan and B. Wang, Phys. Lett. B 699, 383 (2011). Crossref, Web of Science, Google Scholar
35. Y. Peng and Q. Y. Pan, JHEP 06, 011 (2014). Crossref, Web of Science, ADS, Google Scholar
36. R. G. Cai, S. He, L. Li and L. F. Li, JHEP 1210, 107 (2012). Crossref, Web of Science, ADS, Google Scholar
37. P. Breitenlohner and D. Z. Freedman, Phys. Lett. B 115, 197 (1982). Crossref, Web of Science, ADS, Google Scholar