Skip to main content
Log in

Bose-Fermi competition in holographic metals

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

Abstract

We study the holographic dual of a finite density system with both bosonic and fermionic degrees of freedom. There is no evidence for a universal bose-dominated ground state. Instead, depending on the relative conformal weights the preferred groundstate is either pure AdS-Reissner-Nordstrom, a holographic superconductor, an electron star, or a novel mixed state that is best characterized as a hairy electron star.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. P. Basu, J. He, A. Mukherjee, M. Rozali and H.-H. Shieh, Competing holographic orders, JHEP 10 (2010) 092 [arXiv:1007.3480] [INSPIRE].

    Article  ADS  Google Scholar 

  2. A. Donos, J.P. Gauntlett, J. Sonner and B. Withers, Competing orders in M-theory: superfluids, stripes and metamagnetism, JHEP 03 (2013) 108 [arXiv:1212.0871] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  3. D. Musso, Competition/enhancement of two probe order parameters in the unbalanced holographic superconductor, JHEP 06 (2013) 083 [arXiv:1302.7205] [INSPIRE].

    Article  ADS  Google Scholar 

  4. R.-G. Cai, L. Li, L.-F. Li and Y.-Q. Wang, Competition and coexistence of order parameters in holographic multi-band superconductors, JHEP 09 (2013) 074 [arXiv:1307.2768] [INSPIRE].

    Article  Google Scholar 

  5. 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 

  6. 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 

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

    ADS  Google Scholar 

  8. 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 

  9. H. Liu, J. McGreevy and D. Vegh, Non-Fermi liquids from holography, Phys. Rev. D 83 (2011) 065029 [arXiv:0903.2477] [INSPIRE].

    ADS  Google Scholar 

  10. M. Cubrovic, J. Zaanen and K. Schalm, String theory, quantum phase transitions and the emergent Fermi-liquid, Science 325 (2009) 439 [arXiv:0904.1993] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  11. T. Faulkner, H. Liu, J. McGreevy and D. Vegh, Emergent quantum criticality, Fermi surfaces and AdS 2, Phys. Rev. D 83 (2011) 125002 [arXiv:0907.2694] [INSPIRE].

    ADS  Google Scholar 

  12. T. Faulkner and J. Polchinski, Semi-holographic Fermi liquids, JHEP 06 (2011) 012 [arXiv:1001.5049] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  13. S.A. Hartnoll and A. Tavanfar, Electron stars for holographic metallic criticality, Phys. Rev. D 83 (2011) 046003 [arXiv:1008.2828] [INSPIRE].

    ADS  Google Scholar 

  14. S.A. Hartnoll, D.M. Hofman and D. Vegh, Stellar spectroscopy: Fermions and holographic Lifshitz criticality, JHEP 08 (2011) 096 [arXiv:1105.3197] [INSPIRE].

    Article  ADS  Google Scholar 

  15. N. Iqbal, H. Liu and M. Mezei, Semi-local quantum liquids, JHEP 04 (2012) 086 [arXiv:1105.4621] [INSPIRE].

    Article  ADS  Google Scholar 

  16. M. Cubrovic, Y. Liu, K. Schalm, Y.-W. Sun and J. Zaanen, Spectral probes of the holographic Fermi groundstate: dialing between the electron star and AdS Dirac hair, Phys. Rev. D 84 (2011) 086002 [arXiv:1106.1798] [INSPIRE].

    ADS  Google Scholar 

  17. F. Nitti, G. Policastro and T. Vanel, Dressing the electron star in a holographic superconductor, arXiv:1307.4558 [INSPIRE].

  18. M. Edalati, K.W. Lo and P.W. Phillips, Neutral order parameters in metallic criticality in D = 2 + 1 from a hairy electron star, Phys. Rev. D 84 (2011) 066007 [arXiv:1106.3139] [INSPIRE].

    ADS  Google Scholar 

  19. Y. Liu, K. Schalm, Y. -W. Sun and J. Zaanen, BCS instabilities of electron stars to holographic superconductors, work in progress.

  20. A. Bagrov, B. Meszena, K. Schalm and J. Zaanen, Holographic dual for the BCS theory, work in progress.

  21. S.A. Hartnoll, J. Polchinski, E. Silverstein and D. Tong, Towards strange metallic holography, JHEP 04 (2010) 120 [arXiv:0912.1061] [INSPIRE].

    Article  ADS  Google Scholar 

  22. S. Sachdev, A model of a Fermi liquid using gauge-gravity duality, Phys. Rev. D 84 (2011) 066009 [arXiv:1107.5321] [INSPIRE].

    ADS  Google Scholar 

  23. A. Allais, J. McGreevy and S.J. Suh, A quantum electron star, Phys. Rev. Lett. 108 (2012) 231602 [arXiv:1202.5308] [INSPIRE].

    Article  ADS  Google Scholar 

  24. A. Allais and J. McGreevy, How to construct a gravitating quantum electron star, Phys. Rev. D 88 (2013) 066006 [arXiv:1306.6075] [INSPIRE].

    ADS  Google Scholar 

  25. M.V. Medvedyeva, E. Gubankova, M. Čubrović, K. Schalm and J. Zaanen, Quantum corrected phase diagram of holographic fermions, arXiv:1302.5149 [INSPIRE].

  26. M. Cubrovic, J. Zaanen and K. Schalm, Constructing the AdS dual of a Fermi liquid: AdS black holes with Dirac hair, JHEP 10 (2011) 017 [arXiv:1012.5681] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  27. N. Iqbal, H. Liu, M. Mezei and Q. Si, Quantum phase transitions in holographic models of magnetism and superconductors, Phys. Rev. D 82 (2010) 045002 [arXiv:1003.0010] [INSPIRE].

    ADS  Google Scholar 

  28. J. de Boer, K. Papadodimas and E. Verlinde, Holographic neutron stars, JHEP 10 (2010) 020 [arXiv:0907.2695] [INSPIRE].

    Article  Google Scholar 

  29. X. Arsiwalla, J. de Boer, K. Papadodimas and E. Verlinde, Degenerate stars and gravitational collapse in AdS/CFT, JHEP 01 (2011) 144 [arXiv:1010.5784] [INSPIRE].

    Article  ADS  Google Scholar 

  30. V.G.M. Puletti, S. Nowling, L. Thorlacius and T. Zingg, Holographic metals at finite temperature, JHEP 01 (2011) 117 [arXiv:1011.6261] [INSPIRE].

    Article  ADS  Google Scholar 

  31. S.A. Hartnoll and P. Petrov, Electron star birth: a continuous phase transition at nonzero density, Phys. Rev. Lett. 106 (2011) 121601 [arXiv:1011.6469] [INSPIRE].

    Article  ADS  Google Scholar 

  32. S.A. Hartnoll and L. Huijse, Fractionalization of holographic Fermi surfaces, Class. Quant. Grav. 29 (2012) 194001 [arXiv:1111.2606] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  33. B. Gouteraux and E. Kiritsis, Quantum critical lines in holographic phases with (un)broken symmetry, JHEP 04 (2013) 053 [arXiv:1212.2625] [INSPIRE].

    Article  ADS  Google Scholar 

  34. N. Iqbal, H. Liu and M. Mezei, Quantum phase transitions in semi-local quantum liquids, arXiv:1108.0425 [INSPIRE].

  35. N. Iqbal and H. Liu, Luttingers theorem, superfluid vortices and holography, Class. Quant. Grav. 29 (2012) 194004 [arXiv:1112.3671] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  36. L. Huijse and S. Sachdev, Fermi surfaces and gauge-gravity duality, Phys. Rev. D 84 (2011) 026001 [arXiv:1104.5022] [INSPIRE].

    ADS  Google Scholar 

  37. T. Faulkner, G.T. Horowitz and M.M. Roberts, Holographic quantum criticality from multi-trace deformations, JHEP 04 (2011) 051 [arXiv:1008.1581] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  38. S. Franco, A. Garcia-Garcia and D. Rodriguez-Gomez, A general class of holographic superconductors, JHEP 04 (2010) 092 [arXiv:0906.1214] [INSPIRE].

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yan Liu.

Additional information

ArXiv ePrint: 1307.4572

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, Y., Schalm, K., Sun, YW. et al. Bose-Fermi competition in holographic metals. J. High Energ. Phys. 2013, 64 (2013). https://doi.org/10.1007/JHEP10(2013)064

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP10(2013)064

Keywords

Navigation