Skip to main content
SpringerLink
Log in

Holographic superconductors and higher curvature corrections

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

We study a fully backreacted holographic model of a four-dimensional superconductor by including a higher curvature interaction in the bulk action. We study how the critical temperature and the field theory condensate vary in this model and conclude that positive higher curvature couplings make the condensation harder. We also compute the conductivity, finding significant deviations from the conjectured universal frequency gap to critical temperature ratio.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].

    Article  MATH  MathSciNet  Google Scholar 

  2. S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  3. C.P. Herzog, Lectures on Holographic Superfluidity and Superconductivity, J. Phys. A 42 (2009) 343001 [arXiv:0904.1975] [SPIRES].

    Article  MathSciNet  Google Scholar 

  4. S.S. Gubser, Phase transitions near black hole horizons, Class. Quant. Grav. 22 (2005) 5121 [hep-th/0505189] [SPIRES].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  5. S.S. Gubser, Breaking an Abelian gauge symmetry near a black hole horizon, Phys. Rev. D 78 (2008) 065034 [arXiv:0801.2977] [SPIRES].

    ADS  Google Scholar 

  6. S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Building a Holographic Superconductor, Phys. Rev. Lett. 101 (2008) 031601 [arXiv:0803.3295] [SPIRES].

    Article  ADS  Google Scholar 

  7. S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Holographic Superconductors, JHEP 12 (2008) 015 [arXiv:0810.1563] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  8. G.T. Horowitz and M.M. Roberts, Holographic Superconductors with Various Condensates, Phys. Rev. D 78 (2008) 126008 [arXiv:0810.1077] [SPIRES].

    ADS  Google Scholar 

  9. S.S. Gubser and A. Nellore, Ground states of holographic superconductors, Phys. Rev. D 80 (2009) 105007 [arXiv:0908.1972] [SPIRES].

    ADS  Google Scholar 

  10. G.T. Horowitz and M.M. Roberts, Zero Temperature Limit of Holographic Superconductors, JHEP 11 (2009) 015 [arXiv:0908.3677] [SPIRES].

    Article  ADS  Google Scholar 

  11. R.A. Konoplya and A. Zhidenko, Holographic conductivity of zero temperature superconductors, Phys. Lett. B 686 (2010) 199 [arXiv:0909.2138] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  12. S.S. Gubser and S.S. Pufu, The gravity dual of a p-wave superconductor, JHEP 11 (2008) 033 [arXiv:0805.2960] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  13. K. Peeters, J. Powell and M. Zamaklar, Exploring colourful holographic superconductors, JHEP 09 (2009) 101 [arXiv:0907.1508] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  14. K. Maeda, M. Natsuume and T. Okamura, Universality class of holographic superconductors, Phys. Rev. D 79 (2009) 126004 [arXiv:0904.1914] [SPIRES].

    ADS  Google Scholar 

  15. E. Nakano and W.-Y. Wen, Critical magnetic field in a holographic superconductor, Phys. Rev. D 78 (2008) 046004 [arXiv:0804.3180] [SPIRES].

    ADS  Google Scholar 

  16. T. Albash and C.V. Johnson, A Holographic Superconductor in an External Magnetic Field, JHEP 09 (2008) 121 [arXiv:0804.3466] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  17. X.-H. Ge, B. Wang, S.-F. Wu and G.-H. Yang, Analytical study on holographic superconductors in external magnetic field, JHEP 08 (2010) 108 [arXiv:1002.4901] [SPIRES].

    Article  ADS  Google Scholar 

  18. T. Takahashi and J. Soda, Stability of Lovelock Black Holes under Tensor Perturbations, Phys. Rev. D 79 (2009) 104025 [arXiv:0902.2921] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  19. S. Kanno and J. Soda, Stability of Holographic Superconductors, Phys. Rev. D 82 (2010) 086003 [arXiv:1007.5002] [SPIRES].

    ADS  Google Scholar 

  20. S.S. Gubser, C.P. Herzog, S.S. Pufu and T. Tesileanu, Superconductors from Superstrings, Phys. Rev. Lett. 103 (2009) 141601 [arXiv:0907.3510] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  21. J.P. Gauntlett, J. Sonner and T. Wiseman, Holographic superconductivity in M-theory, Phys. Rev. Lett. 103 (2009) 151601 [arXiv:0907.3796] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  22. R. Gregory, S. Kanno and J. Soda, Holographic Superconductors with Higher Curvature Corrections, JHEP 10 (2009) 010 [arXiv:0907.3203] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  23. Q. Pan, B. Wang, E. Papantonopoulos, J. Oliveira and A.B. Pavan, Holographic Superconductors with various condensates in Einstein-Gauss-Bonnet gravity, Phys. Rev. D 81 (2010) 106007 [arXiv:0912.2475] [SPIRES].

    ADS  Google Scholar 

  24. Q. Pan and B. Wang, General holographic superconductor models with Gauss-Bonnet corrections, Phys. Lett. B 693 (2010) 159 [arXiv:1005.4743] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  25. R.-G. Cai, Z.-Y. Nie and H.-Q. Zhang, Holographic p-wave superconductors from Gauss-Bonnet gravity, Phys. Rev. D 82 (2010) 066007 [arXiv:1007.3321] [SPIRES].

    ADS  Google Scholar 

  26. L. Barclay, R. Gregory, S. Kanno and P. Sutcliffe, Gauss-Bonnet Holographic Superconductors, arXiv:1009.1991 [SPIRES].

  27. J. Oliva and S. Ray, A new cubic theory of gravity in five dimensions: Black hole, Birkhoff’s theorem and C-function, Class. Quant. Grav. 27 (2010) 225002 [arXiv:1003.4773] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  28. R.C. Myers and B. Robinson, Black Holes in Quasi-topological Gravity, JHEP 08 (2010) 067 [arXiv:1003.5357] [SPIRES].

    Article  ADS  Google Scholar 

  29. R.C. Myers, M.F. Paulos and A. Sinha, Holographic studies of quasi-topological gravity, JHEP 08 (2010) 035 [arXiv:1004.2055] [SPIRES].

    Article  ADS  Google Scholar 

  30. A.J. Amsel and D. Gorbonos, The Weak Gravity Conjecture and the Viscosity Bound with Six-Derivative Corrections, JHEP 11 (2010) 033 [arXiv:1005.4718] [SPIRES].

    Article  ADS  Google Scholar 

  31. R.C. Myers and A. Sinha, Seeing a c-theorem with holography, Phys. Rev. D 82 (2010) 046006 [arXiv:1006.1263] [SPIRES].

    ADS  Google Scholar 

  32. A. Sinha, On higher derivative gravity, c-theorems and cosmology, arXiv:1008.4315 [SPIRES].

  33. X.-M. Kuang, W.-J. Li and Y. Ling, Holographic Superconductors in Quasi-topological Gravity, arXiv:1008.4066 [SPIRES].

  34. R.C. Myers, M.F. Paulos and A. Sinha, Holographic Hydrodynamics with a Chemical Potential, JHEP 06 (2009) 006 [arXiv:0903.2834] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  35. M. Siani, in preparation.

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Fisica, Università di Milano Bicocca and INFN, Sezione di Milano-Bicocca, piazza della Scienza 3, I-20126, Milano, Italy

    Massimo Siani

Authors
  1. Massimo Siani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Massimo Siani.

Additional information

ArXiv ePrint: 1010.0700

Rights and permissions

Reprints and permissions

About this article

Cite this article

Siani, M. Holographic superconductors and higher curvature corrections. J. High Energ. Phys. 2010, 35 (2010). https://doi.org/10.1007/JHEP12(2010)035

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP12(2010)035

Keywords

Search

Navigation