Skip to main content
Log in

Impurity effect in a holographic superconductor

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

Abstract

We consider a holographic superconductor with homogeneous impurities added. We start with the holographic Abelian-Higgs model for s-wave superconductivity, and turn on a coupling between the gauge field and a new massive gauge field that is introduced for impurities, whose effect is examined in the probe limit. We find that the condensation of the massive gauge field is induced in the superconducting phase. When the coupling is sufficiently large, the mass gap in the optical conductivity disappears. A resonance peak is found in the conductivity of the massive vector field.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

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

  2. S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  3. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].

    MathSciNet  ADS  MATH  Google Scholar 

  4. S. Sachdev and M. Mueller, Quantum criticality and black holes, J. Phys. Condens. Matter 21 (2009) 164216 [arXiv:0810.3005] [INSPIRE].

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Google Scholar 

  7. J. McGreevy, Holographic duality with a view toward many-body physics, Adv. High Energy Phys. 2010 (2010) 723105 [arXiv:0909.0518] [INSPIRE].

    Google Scholar 

  8. G.T. Horowitz, Theory of Superconductivity, Lect. Notes Phys. 828 (2011) 313 [arXiv:1002.1722] [INSPIRE].

    Article  ADS  Google Scholar 

  9. S. Sachdev, Condensed Matter and AdS/CFT, Lect. Notes Phys. 828 (2011) 273 [arXiv:1002.2947] [INSPIRE].

    Article  ADS  Google Scholar 

  10. S.A. Hartnoll, Horizons, holography and condensed matter, arXiv:1106.4324 [INSPIRE].

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

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  17. K. Hashimoto and N. Iizuka, Impurities in Holography and Transport Coefficients, arXiv:1207.4643 [INSPIRE].

  18. F. Bigazzi, A.L. Cotrone, D. Musso, N.P. Fokeeva and D. Seminara, Unbalanced Holographic Superconductors and Spintronics, JHEP 02 (2012) 078 [arXiv:1111.6601] [INSPIRE].

    Article  ADS  Google Scholar 

  19. J. Alsup, E. Papantonopoulos and G. Siopsis, FFLO States in Holographic Superconductors, arXiv:1208.4582 [INSPIRE].

  20. J. Alsup, E. Papantonopoulos and G. Siopsis, A Novel Mechanism to Generate FFLO States in Holographic Superconductors, Phys. Lett. B 720 (2013) 379 [arXiv:1210.1541] [INSPIRE].

    Article  ADS  Google Scholar 

  21. I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  22. P. Breitenlohner and D.Z. Freedman, Stability in Gauged Extended Supergravity, Annals Phys. 144 (1982) 249 [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  23. S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [hep-th/0002230] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  24. K. Skenderis, Lecture notes on holographic renormalization, Class. Quant. Grav. 19 (2002) 5849 [hep-th/0209067] [INSPIRE].

    Article  MathSciNet  MATH  Google Scholar 

  25. S. Kachru, X. Liu and M. Mulligan, Gravity Duals of Lifshitz-like Fixed Points, Phys. Rev. D 78 (2008) 106005 [arXiv:0808.1725] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  26. K. Goldstein, S. Kachru, S. Prakash and S.P. Trivedi, Holography of Charged Dilaton Black Holes, JHEP 08 (2010) 078 [arXiv:0911.3586] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  27. J. Erdmenger, V. Grass, P. Kerner and T.H. Ngo, Holographic Superfluidity in Imbalanced Mixtures, JHEP 08 (2011) 037 [arXiv:1103.4145] [INSPIRE].

    Article  ADS  Google Scholar 

  28. G.T. Horowitz, J.E. Santos and D. Tong, Optical Conductivity with Holographic Lattices, JHEP 07 (2012) 168 [arXiv:1204.0519] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  29. G.T. Horowitz, J.E. Santos and D. Tong, Further Evidence for Lattice-Induced Scaling, JHEP 11 (2012) 102 [arXiv:1209.1098] [INSPIRE].

    Article  ADS  Google Scholar 

  30. G.T. Horowitz, J.E. Santos and B. Way, A Holographic Josephson Junction, Phys. Rev. Lett. 106 (2011) 221601 [arXiv:1101.3326] [INSPIRE].

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sang-Jin Sin.

Additional information

ArXiv ePrint: 1211.1798

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ishii, T., Sin, SJ. Impurity effect in a holographic superconductor. J. High Energ. Phys. 2013, 128 (2013). https://doi.org/10.1007/JHEP04(2013)128

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP04(2013)128

Keywords

Navigation