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General holographic superconductor models with Born–Infeld electrodynamics

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Abstract

A general class of holographic superconductor models in Schwarzschild AdS black hole with the Born–Infeld electrodynamics is investigated. It is found that the Born–Infeld coupling parameter affects the critical temperature, the order of phase transitions, the conductivity and the critical exponents near the second-order phase transition point. It is also noted that both the position of the conductivity coherence peak and the ratio of the gap frequency in conductivity to the critical temperature depend on the model parameters and the Born–Infeld coupling parameter.

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References

  1. Maldacena J.M.: Adv. Theor. Math. Phys. 2, 231–252 (1998)

    MathSciNet  ADS  MATH  Google Scholar 

  2. Witten E.: Adv. Theor. Math. Phys. 2, 253–291 (1998)

    MathSciNet  MATH  Google Scholar 

  3. Gubser S.S., Klebanov I.R., Polyakov A.M.: Phys. Lett. B 428, 105 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  4. Aharony O., Gubser S.S., Maldacena J.M., Ooguri H., Oz Y.: Phys. Rept. 323, 183 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  5. Policastro, G., Son, D.T., Starinets, A.O.: JHEP 0212, 054 (2002). arXiv:hep-th/0210220

  6. Hartnoll, S.A., Kovtun, P.K., Muller, M., Sachdev, S.: Phys. Rev. B 76, 144502 (2007). arXiv:0706.3215 [cond-mat.str-el]

  7. Buchbinder, E.I., Buchel, A.: Phys. Rev. D. 79, 045006 (2009). arXiv:0811.4325 [hep-th]

  8. Gubser S.S.: Phys. Rev. D 78, 065034 (2008)

    Article  ADS  Google Scholar 

  9. Hartnoll S.A., Herzog C.P., Horowitz G.T.: Phys. Rev. Lett. 101(3), 031601 (2008)

    Article  ADS  Google Scholar 

  10. Basu, P., Mukherjee, A., Shieh, H.H.: Phys. Rev. D 79, 126004 (2009). arXiv:0809.4494 [hep-th]

  11. Herzog C.P., Kovtun P.K., Son D.T.: Phys. Rev. D 79, 066002 (2009) arXiv:0809.4870 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  12. Gubser S.S.: Phys. Rev. Lett. 2, 191601 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  13. Horowitz G.T., Roberts M.M.: Phys. Rev. D 78, 126008 (2008)

    Article  ADS  Google Scholar 

  14. Chen, S., Wang, L., Ding, C., Jing, J.: Nucl. Phys. B 836, 222 (2010). arXiv:0912.2397 [hep-th]

  15. Hartnoll, S.A.: Class. Quantum Grav. 26, 224002 (2009). arXiv:0903.3246

  16. Herzog C.P.: J. Phys. A 42, 343001 (2009) arXiv.org:hep-th/0904.1975

    Article  MathSciNet  Google Scholar 

  17. Horowitz, G.T.: In: 5th Aegean Summer School, “From Gravity to Thermal Gauge Theories: the AdS/CFT Correspondence”. arXiv:1002.1722

  18. Albash T., Johnson C.V.: JHEP 0809, 112 (2008)

    ADS  Google Scholar 

  19. Nakano E., Wen W.-Y.: Phys. Rev. D 78, 046004 (2008)

    Article  ADS  Google Scholar 

  20. Gubser S.S., Nellore A.: Phys. Rev. D 80, 105007 (2009)

    Article  ADS  Google Scholar 

  21. Horowitz G.T., Roberts M.M.: JHEP 0911, 015 (2009)

    Article  ADS  Google Scholar 

  22. Konoplya R.A., Zhidenko A.: Phys. Lett. B 686, 199 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  23. Gregory R., Kanno S., Soda J.: JHEP 0910, 010 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  24. Pan, Q., Wang, B., Papantonopoulos, E., Oliveira, J., Pavan, A.: Phys. Rev. D 81, 106007 (2010). arXiv:0912.2475

    Google Scholar 

  25. Hartnoll, S.A., Herzog, C.P., Horowitz, G.T.: JHEP 0812, 015, (2008). arXiv:0810.1563

  26. Gubser S.S., Herzog C.P., Pufu S.S., Tesileanu T.: JHEP 103, 141601 (2009) arXiv:0907.3510

    MathSciNet  Google Scholar 

  27. Denef F., Hartnoll S.A.: Phys. Rev. D (Particles, Fields, Gravitation, and Cosmology) 79(12), 126008 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  28. Gubser, S.S., Pufu, S.S., Rocha, F.D.: Phys. Lett. B 683, 201 (2010). arXiv:0908.0011

    Google Scholar 

  29. Nishioka T.: Class. Quantum Grav. 26, 242001 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  30. Cai R.-G., Zhang H.-Q.: Phys. Rev. D 81, 066003 (2010)

    Article  ADS  Google Scholar 

  31. Jing, J., Wang, L., Chen, S.: arXiv:1001.1472

  32. Franco S., Garcia-Garcia A.M., Rodriguez-Gomez D.: J. High Energy Phys. 04, 092 (2010)

    Article  ADS  Google Scholar 

  33. Franco S., Garcia-Garcia A.M., Rodriguez-Gomez D.: Phys. Rev. D 81, 041901 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  34. Pan, Q., Wang, B.: Phys. Lett. B 693, 159 (2010). arXiv:1005.4743

  35. Born M., Infeld L.: Proc. Roy. Soc. A 144, 425 (1934)

    Article  ADS  Google Scholar 

  36. Gibbons G.W., Rasheed D.A.: Nucl. Phys. B 454, 185 (1995)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  37. Dirac P.A.M.: Proc. Roy. Soc. Lond. A 133, 62 (1931)

    ADS  Google Scholar 

  38. ’t Hooft G.: Nucl. Phys. B 79, 276 (1974)

    Article  MathSciNet  ADS  Google Scholar 

  39. Seiberg, N., Witten, E.: Nucl. Phys. B 426, 19 (1994). Erratum-ibid, 430:485, 1994. arXiv:hep-th/9407087

    Google Scholar 

  40. Gaiotto, D.: arXiv:0904.2715

  41. Gaiotto, D., Maldacena, J.: arXiv:0904.4466

  42. Johnson : D-Branes. Cambridge University Press, Cambridge (2002)

    Book  Google Scholar 

  43. Ferraro R., Fiorini F.: Phys. Lett. B 692, 206 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  44. Sheykhi A.: Phys. Lett. B 662, 7 (2008)

    ADS  Google Scholar 

  45. Jing, J., Wang, L., Pan, Q., Chen, S.: Phys. Rev. D 83, 066010 (2011). arXiv:1012.0644

    Google Scholar 

  46. Jing J., Chen S.: Phys. Lett. B 686, 68 (2010) arXiv:1001.4227

    Article  MathSciNet  ADS  Google Scholar 

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Authors and Affiliations

  1. Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics, Hunan Normal University, Changsha, 410081, Hunan, People’s Republic of China

    Liancheng Wang & Jiliang Jing

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  1. Liancheng Wang
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  2. Jiliang Jing
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Correspondence to Jiliang Jing.

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Wang, L., Jing, J. General holographic superconductor models with Born–Infeld electrodynamics. Gen Relativ Gravit 44, 1309–1319 (2012). https://doi.org/10.1007/s10714-012-1341-8

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  • DOI: https://doi.org/10.1007/s10714-012-1341-8

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