Skip to main content
SpringerLink
Account
Menu
Find a journal Publish with us Track your research
Search
Cart
  1. Home
  2. Journal of High Energy Physics
  3. Article

p-wave holographic superconductors from Born-Infeld black holes

  • Regular Article - Theoretical Physics
  • Open access
  • Published: 01 April 2015
  • Volume 2015, article number 1, (2015)
  • Cite this article
Download PDF

You have full access to this open access article

Journal of High Energy Physics Aims and scope Submit manuscript
p-wave holographic superconductors from Born-Infeld black holes
Download PDF
  • Pankaj Chaturvedi1 &
  • Gautam Sengupta1 

  • 495 Accesses

  • 29 Citations

  • 1 Altmetric

  • Explore all metrics

A preprint version of the article is available at arXiv.

Abstract

We obtain (2+1) dimensional p-wave holographic superconductors from charged Born-Infeld black holes in the presence of massive charged vector fields in a bulk AdS4 Einstein-Born-Infeld theory through the AdS4-CF T3 correspondence. Below a certain critical transition temperature the charged black hole develops vector hair that corresponds to charged vector condensate in the strongly coupled (2+1) dimensional boundary field theory that breaks both the U(1) symmetry as well as the rotational invariance. The holographic free energy is computed for the boundary field theory which shows that the vector order parameter exhibits a rich phase structure involving zeroth order, first order, second order and retrograde phase transitions for different values of the backreaction and the Born-Infeld parameters. We numerically compute the ac conductivity for the p-wave superconducting phase of the strongly coupled (2+1) dimensional boundary field theory which also depends on the relative values of the parameters in the theory.

Article PDF

Download to read the full article text

Similar content being viewed by others

p-wave holographic superconductors with massive vector condensate in Born–Infeld electrodynamics

Article Open access 07 March 2020

Holographic phase transitions from higgsed, non abelian charged black holes

Article Open access 31 July 2015

Higher dimensional holographic superconductors in Born–Infeld electrodynamics with back-reaction

Article Open access 15 March 2016
Use our pre-submission checklist

Avoid common mistakes on your manuscript.

References

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

    Article  MathSciNet  MATH  Google Scholar 

  2. S.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  ADS  MATH  Google Scholar 

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

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [INSPIRE].

    Article  MathSciNet  MATH  Google Scholar 

  6. 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 

  7. 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 

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

    Article  ADS  MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  10. G.T. Horowitz, Introduction to Holographic Superconductors, Lect. Notes Phys. 828 (2011) 313 [arXiv:1002.1722] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  11. C.P. Herzog, An Analytic Holographic Superconductor, Phys. Rev. D 81 (2010) 126009 [arXiv:1003.3278] [INSPIRE].

    ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  MATH  Google Scholar 

  13. M.M. Roberts and S.A. Hartnoll, Pseudogap and time reversal breaking in a holographic superconductor, JHEP 08 (2008) 035 [arXiv:0805.3898] [INSPIRE].

    Article  ADS  Google Scholar 

  14. 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 

  15. K.-Y. Kim and M. Taylor, Holographic d-wave superconductors, JHEP 08 (2013) 112 [arXiv:1304.6729] [INSPIRE].

    Article  ADS  Google Scholar 

  16. F. Benini, C.P. Herzog, R. Rahman and A. Yarom, Gauge gravity duality for d-wave superconductors: prospects and challenges, JHEP 11 (2010) 137 [arXiv:1007.1981] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  17. J.-W. Chen, Y.-J. Kao, D. Maity, W.-Y. Wen and C.-P. Yeh, Towards A Holographic Model of D-Wave Superconductors, Phys. Rev. D 81 (2010) 106008 [arXiv:1003.2991] [INSPIRE].

    ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  19. M. Ammon, J. Erdmenger, V. Grass, P. Kerner and A. O’Bannon, On Holographic p-wave Superfluids with Back-reaction, Phys. Lett. B 686 (2010) 192 [arXiv:0912.3515] [INSPIRE].

    Article  ADS  Google Scholar 

  20. H.-B. Zeng, W.-M. Sun and H.-S. Zong, Supercurrent in p-wave Holographic Superconductor, Phys. Rev. D 83 (2011) 046010 [arXiv:1010.5039] [INSPIRE].

    ADS  Google Scholar 

  21. R.-G. Cai, Z.-Y. Nie and H.-Q. Zhang, Holographic Phase Transitions of P-wave Superconductors in Gauss-Bonnet Gravity with Back-reaction, Phys. Rev. D 83 (2011) 066013 [arXiv:1012.5559] [INSPIRE].

    ADS  Google Scholar 

  22. F. Aprile, D. Rodriguez-Gomez and J.G. Russo, p-wave Holographic Superconductors and five-dimensional gauged Supergravity, JHEP 01 (2011) 056 [arXiv:1011.2172] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  23. L.A. Pando Zayas and D. Reichmann, A Holographic Chiral p x + ip y Superconductor, Phys. Rev. D 85 (2012) 106012 [arXiv:1108.4022] [INSPIRE].

    ADS  Google Scholar 

  24. D. Momeni, N. Majd and R. Myrzakulov, p-wave holographic superconductors with Weyl corrections, Europhys. Lett. 97 (2012) 61001 [arXiv:1204.1246] [INSPIRE].

    Article  ADS  Google Scholar 

  25. D. Roychowdhury, Holographic droplets in p-wave insulator/superconductor transition, JHEP 05 (2013) 162 [arXiv:1304.6171] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  26. R.-G. Cai, L. Li, L.-F. Li and R.-K. Su, Entanglement Entropy in Holographic P-Wave Superconductor/Insulator Model, JHEP 06 (2013) 063 [arXiv:1303.4828] [INSPIRE].

    Article  ADS  Google Scholar 

  27. R.-G. Cai, S. He, L. Li and L.-F. Li, A Holographic Study on Vector Condensate Induced by a Magnetic Field, JHEP 12 (2013) 036 [arXiv:1309.2098] [INSPIRE].

    Article  ADS  Google Scholar 

  28. R.-G. Cai, L. Li and L.-F. Li, A Holographic P-wave Superconductor Model, JHEP 01 (2014) 032 [arXiv:1309.4877] [INSPIRE].

    Article  ADS  Google Scholar 

  29. V.P. Maslov, Zeroth-order phase transitions, Math. Notes 76 (2004) 697.

    Article  MathSciNet  MATH  Google Scholar 

  30. T. Narayanan and A. Kumar, Reentrant phase transitions in multicomponent liquid mixtures, Phys. Rept. 249 (1994) 135.

    Article  ADS  Google Scholar 

  31. G.T. Horowitz and B. Way, Complete Phase Diagrams for a Holographic Superconductor/Insulator System, JHEP 11 (2010) 011 [arXiv:1007.3714] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  32. Y. Peng, Q. Pan and B. Wang, Various types of phase transitions in the AdS soliton background, Phys. Lett. B 699 (2011) 383 [arXiv:1104.2478] [INSPIRE].

    Article  ADS  Google Scholar 

  33. R.-G. Cai, S. He, L. Li and L.-F. Li, Entanglement Entropy and Wilson Loop in Stúckelberg Holographic Insulator/Superconductor Model, JHEP 10 (2012) 107 [arXiv:1209.1019] [INSPIRE].

    Article  ADS  Google Scholar 

  34. 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 

  35. M. Born and L. Infeld, Foundations of the new field theory, Proc. Roy. Soc. Lond. A 144 (1934) 425 [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  36. G.W. Gibbons and D.A. Rasheed, Electric-magnetic duality rotations in nonlinear electrodynamics, Nucl. Phys. B 454 (1995) 185 [hep-th/9506035] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  37. E.S. Fradkin and A.A. Tseytlin, Nonlinear Electrodynamics from Quantized Strings, Phys. Lett. B 163 (1985) 123 [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  38. T.K. Dey, Born-Infeld black holes in the presence of a cosmological constant, Phys. Lett. B 595 (2004) 484 [hep-th/0406169] [INSPIRE].

    ADS  MathSciNet  MATH  Google Scholar 

  39. R.-G. Cai, D.-W. Pang and A. Wang, Born-Infeld black holes in (A)dS spaces, Phys. Rev. D 70 (2004) 124034 [hep-th/0410158] [INSPIRE].

    ADS  MathSciNet  Google Scholar 

  40. J. Jing and S. Chen, Holographic superconductors in the Born-Infeld electrodynamics, Phys. Lett. B 686 (2010) 68 [arXiv:1001.4227] [INSPIRE].

    Article  ADS  Google Scholar 

  41. S. Gangopadhyay, Holographic superconductors in Born-Infeld electrodynamics and external magnetic field, Mod. Phys. Lett. A29 (2014) 1450088 [arXiv:1311.4416] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  42. J. Jing, Q. Pan and S. Chen, Holographic Superconductors with Power-Maxwell field, JHEP 11 (2011) 045 [arXiv:1106.5181] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  43. J. Jing, L. Wang, Q. Pan and S. Chen, Holographic Superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics, Phys. Rev. D 83 (2011) 066010 [arXiv:1012.0644] [INSPIRE].

    ADS  Google Scholar 

  44. S. Gangopadhyay and D. Roychowdhury, Analytic study of properties of holographic superconductors in Born-Infeld electrodynamics, JHEP 05 (2012) 002 [arXiv:1201.6520] [INSPIRE].

    Article  ADS  Google Scholar 

  45. Y. Liu, Y. Peng and B. Wang, Gauss-Bonnet holographic superconductors in Born-Infeld electrodynamics with backreactions arXiv:1202.3586 [INSPIRE].

  46. D. Roychowdhury, Effect of external magnetic field on holographic superconductors in presence of nonlinear corrections, Phys. Rev. D 86 (2012) 106009 [arXiv:1211.0904] [INSPIRE].

    ADS  Google Scholar 

  47. Z. Zhao, Q. Pan, S. Chen and J. Jing, Notes on holographic superconductor models with the nonlinear electrodynamics, Nucl. Phys. B 871 (2013) 98 [arXiv:1212.6693] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  48. W. Yao and J. Jing, Analytical study on holographic superconductors for born-infeld electrodynamics in gauss-bonnet gravity with backreactions, JHEP 05 (2013) 101 [arXiv:1306.0064] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  49. G.W. Gibbons and S.W. Hawking, Action Integrals and Partition Functions in Quantum Gravity, Phys. Rev. D 15 (1977) 2752 [INSPIRE].

    ADS  Google Scholar 

  50. V. Balasubramanian and P. Kraus, A Stress tensor for Anti-de Sitter gravity, Commun. Math. Phys. 208 (1999) 413 [hep-th/9902121] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  51. F. Aprile, S. Franco, D. Rodriguez-Gomez and J.G. Russo, Phenomenological Models of Holographic Superconductors and Hall currents, JHEP 05 (2010) 102 [arXiv:1003.4487] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  52. T.H. Lin et al., Observation of a reentrant superconducting resistive transition in granular BaPb0.75Bi0.25O3 superconductor, Phys. Rev. B 29 (1984) 1493.

    Article  ADS  Google Scholar 

  53. Y. Zhao et al., Normal-state reentrant behavior in superconducting Bi2Sr2CaCu2O8 /Bi2Sr2Ca2Cu3O10 intergrowth single crystals, Phys. Rev. B 51 (1995) 3134.

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  55. 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 

  56. T. Nishioka, S. Ryu and T. Takayanagi, Holographic Superconductor/Insulator Transition at Zero Temperature, JHEP 03 (2010) 131 [arXiv:0911.0962] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  57. N. Bai, Y.-H. Gao, B.-G. Qi and X.-B. Xu, Holographic insulator/superconductor phase transition in Born-Infeld electrodynamics arXiv:1212.2721 [INSPIRE].

  58. P. Chaturvedi and P. Basu, Holographic quantum phase transitions and interacting bulk scalars, Phys. Lett. B 739 (2014) 162 [arXiv:1409.4959] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  59. S.R. Das, Holographic Quantum Quench, J. Phys. Conf. Ser. 343 (2012) 012027 [arXiv:1111.7275] [INSPIRE].

    Article  Google Scholar 

  60. P. Basu and S.R. Das, Quantum Quench across a Holographic Critical Point, JHEP 01 (2012) 103 [arXiv:1109.3909] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  61. P. Basu, D. Das, S.R. Das and T. Nishioka, Quantum Quench Across a Zero Temperature Holographic Superfluid Transition, JHEP 03 (2013) 146 [arXiv:1211.7076] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

Download references

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Author information

Authors and Affiliations

  1. Department of Physics, Indian Institute of Technology, Kanpur, 208016, India

    Pankaj Chaturvedi & Gautam Sengupta

Authors
  1. Pankaj Chaturvedi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gautam Sengupta
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Pankaj Chaturvedi.

Additional information

ArXiv ePrint: 1501.06998

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chaturvedi, P., Sengupta, G. p-wave holographic superconductors from Born-Infeld black holes. J. High Energ. Phys. 2015, 1 (2015). https://doi.org/10.1007/JHEP04(2015)001

Download citation

  • Received: 29 January 2015

  • Accepted: 09 March 2015

  • Published: 01 April 2015

  • DOI: https://doi.org/10.1007/JHEP04(2015)001

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • Gauge-gravity correspondence
  • Holography and condensed matter physics (AdS/CMT)
Use our pre-submission checklist

Avoid common mistakes on your manuscript.

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us
  • Track your research

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support
  • Cancel contracts here

Not affiliated

Springer Nature

© 2024 Springer Nature