Flowing holographic anyonic superfluid

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Article

Abstract

We investigate the flow of a strongly coupled anyonic superfluid based on the holographic D3-D7’ probe brane model. By analyzing the spectrum of fluctuations, we find the critical superfluid velocity, as a function of the temperature, at which the flow stops being dissipationless when flowing past a barrier. We find that at a larger velocity the flow becomes unstable even in the absence of a barrier.

Keywords

Holography and condensed matter physics (AdS/CMT) Anyons 

Notes

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.

References

  1. [1]
    N. Jokela, G. Lifschytz and M. Lippert, Holographic anyonic superfluidity, JHEP 10 (2013) 014 [arXiv:1307.6336] [INSPIRE].ADSCrossRefGoogle Scholar
  2. [2]
    O. Bergman, N. Jokela, G. Lifschytz and M. Lippert, Quantum Hall effect in a holographic model, JHEP 10 (2010) 063 [arXiv:1003.4965] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  3. [3]
    L.D. Landau and E.M. Lifshitz, Statistical physics, Pergamon Press, Oxford U.K. (1960).MATHGoogle Scholar
  4. [4]
    I. Amado et al., Holographic superfluids and the Landau criterion, JHEP 02 (2014) 063 [arXiv:1307.8100] [INSPIRE].ADSCrossRefGoogle Scholar
  5. [5]
    S.J. Rey, Quantum phase transitions from string theory, talk given at Strings 2007, June 25-29, Madrid, Spain (2007).Google Scholar
  6. [6]
    S.-J. Rey, String theory on thin semiconductors: holographic realization of Fermi points and surfaces, Prog. Theor. Phys. Suppl. 177 (2009) 128 [arXiv:0911.5295] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  7. [7]
    J.L. Davis, P. Kraus and A. Shah, Gravity dual of a quantum Hall plateau transition, JHEP 11 (2008) 020 [arXiv:0809.1876] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  8. [8]
    J. Alanen, E. Keski-Vakkuri, P. Kraus and V. Suur-Uski, AC transport at holographic quantum Hall transitions, JHEP 11 (2009) 014 [arXiv:0905.4538] [INSPIRE].ADSCrossRefGoogle Scholar
  9. [9]
    N. Jokela, G. Lifschytz and M. Lippert, Magneto-roton excitation in a holographic quantum Hall fluid, JHEP 02 (2011) 104 [arXiv:1012.1230] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  10. [10]
    R.C. Myers and M.C. Wapler, Transport properties of holographic defects, JHEP 12 (2008) 115 [arXiv:0811.0480] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  11. [11]
    N. Jokela, M. Järvinen and M. Lippert, A holographic quantum Hall model at integer filling, JHEP 05 (2011) 101 [arXiv:1101.3329] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  12. [12]
    C. Kristjansen and G.W. Semenoff, Giant D5 brane holographic Hall state, JHEP 06 (2013) 048 [arXiv:1212.5609] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  13. [13]
    J.L. Davis, H. Omid and G.W. Semenoff, Holographic fermionic fixed points in D =3, JHEP 09 (2011) 124 [arXiv:1107.4397] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  14. [14]
    O. Bergman, N. Jokela, G. Lifschytz and M. Lippert, Striped instability of a holographic Fermi-like liquid, JHEP 10 (2011) 034 [arXiv:1106.3883] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  15. [15]
    N. Jokela, G. Lifschytz and M. Lippert, Magnetic effects in a holographic Fermi-like liquid, JHEP 05 (2012) 105 [arXiv:1204.3914] [INSPIRE].ADSCrossRefGoogle Scholar
  16. [16]
    E. Witten, SL(2, ) action on three-dimensional conformal field theories with Abelian symmetry, in From fields to strings. Volume 2, M. Shifman et al. eds., World Scientific, Singapore (2005), hep-th/0307041 [INSPIRE].
  17. [17]
    C.P. Burgess and B.P. Dolan, Particle vortex duality and the modular group: applications to the quantum Hall effect and other 2D systems, Phys. Rev. B 63 (2001) 155309 [hep-th/0010246] [INSPIRE].ADSCrossRefGoogle Scholar
  18. [18]
    C.P. Burgess and B.P. Dolan, The quantum Hall effect in graphene: emergent modular symmetry and the semi-circle law, Phys. Rev. B 76 (2007) 113406 [cond-mat/0612269] [INSPIRE].ADSCrossRefGoogle Scholar
  19. [19]
    M. Fujita, M. Kaminski and A. Karch, SL(2, ) action on AdS/BCFT and Hall conductivities, JHEP 07 (2012) 150 [arXiv:1204.0012] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  20. [20]
    D.K. Brattan and G. Lifschytz, Holographic plasma and anyonic fluids, JHEP 02 (2014) 090 [arXiv:1310.2610] [INSPIRE].ADSCrossRefGoogle Scholar
  21. [21]
    P. Basu, A. Mukherjee and H.-H. Shieh, Supercurrent: vector hair for an AdS black hole, Phys. Rev. D 79 (2009) 045010 [arXiv:0809.4494] [INSPIRE].ADSGoogle Scholar
  22. [22]
    C.P. Herzog, P.K. Kovtun and D.T. Son, Holographic model of superfluidity, Phys. Rev. D 79 (2009) 066002 [arXiv:0809.4870] [INSPIRE].ADSMathSciNetGoogle Scholar
  23. [23]
    K. Ghoroku, M. Ishihara and A. Nakamura, D3/D7 holographic gauge theory and chemical potential, Phys. Rev. D 76 (2007) 124006 [arXiv:0708.3706] [INSPIRE].ADSMathSciNetGoogle Scholar
  24. [24]
    D. Mateos, S. Matsuura, R.C. Myers and R.M. Thomson, Holographic phase transitions at finite chemical potential, JHEP 11 (2007) 085 [arXiv:0709.1225] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  25. [25]
    I. Amado, M. Kaminski and K. Landsteiner, Hydrodynamics of holographic superconductors, JHEP 05 (2009) 021 [arXiv:0903.2209] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  26. [26]
    M. Kaminski, K. Landsteiner, J. Mas, J.P. Shock and J. Tarrio, Holographic operator mixing and quasinormal modes on the brane, JHEP 02 (2010) 021 [arXiv:0911.3610] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  27. [27]
    V. Keranen, E. Keski-Vakkuri, S. Nowling and K.P. Yogendran, Solitons as probes of the structure of holographic superfluids, New J. Phys. 13 (2011) 065003 [arXiv:1012.0190] [INSPIRE].ADSCrossRefGoogle Scholar
  28. [28]
    N. Jokela, G. Lifschytz and M. Lippert, to appear.Google Scholar
  29. [29]
    N. Jokela, M. Jarvinen and M. Lippert, Gravity dual of spin and charge density waves, arXiv:1408.1397 [INSPIRE].

Copyright information

© The Author(s) 2014

Authors and Affiliations

  • Niko Jokela
    • 1
    • 2
    • 3
  • Gilad Lifschytz
    • 4
  • Matthew Lippert
    • 5
  1. 1.Department of PhysicsUniversity of HelsinkiHelsinkiFinland
  2. 2.Helsinki Institute of PhysicsUniversity of HelsinkiHelsinkiFinland
  3. 3.Departamento de Fısica de PartículasUniversidade de Santiago de Compostela, and Instituto Galego de Física de Altas Enerxías (IGFAE)Santiago de CompostelaSpain
  4. 4.Department of Mathematics and PhysicsUniversity of Haifa at OranimKiryat TivonIsrael
  5. 5.Institute for Theoretical PhysicsUniversity of AmsterdamAmsterdamNetherlands

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