Abstract
We construct a holographic model of superconducting quantum interference device (SQUID) in the Einstein-Maxwell-complex scalar theory with a negative cosmological constant. The SQUID ring consists of two Josephson junctions which sit on two sides of a compactified spatial direction of a Schwarzschild-AdS black brane. These two junctions interfere with each other and then result in a total current depending on the magnetic flux, which can be deduced from the phase differences of the two Josephson junctions. The relation between the total current and the magnetic flux is obtained numerically.
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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].
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].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
S.S. Gubser, Breaking an Abelian gauge symmetry near a black hole horizon, Phys. Rev. D 78 (2008)065034 [arXiv:0801.2977] [INSPIRE].
S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Building a holographic superconductor, Phys. Rev. Lett. 101 (2008) 031601 [arXiv:0803.3295] [INSPIRE].
S.-S. Lee, A non-Fermi liquid from a charged black hole: a critical Fermi ball, Phys. Rev. D 79 (2009)086006 [arXiv:0809.3402] [INSPIRE].
H. Liu, J. McGreevy and D. Vegh, Non-Fermi liquids from holography, Phys. Rev. D 83 (2011)065029 [arXiv:0903.2477] [INSPIRE].
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].
G.T. Horowitz, J.E. Santos and B. Way, A holographic Josephson junction, Phys. Rev. Lett. 106 (2011)221601 [arXiv:1101.3326] [INSPIRE].
E. Kiritsis and V. Niarchos, Josephson junctions and AdS/CFT networks, JHEP 07 (2011) 112 [Erratum ibid. 10 (2011) 095] [arXiv:1105.6100] [INSPIRE].
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [INSPIRE].
J. McGreevy, Holographic duality with a view toward many-body physics, Adv. High Energy Phys. 2010 (2010) 723105 [arXiv:0909.0518] [INSPIRE].
N. Iqbal, H. Liu and M. Mezei, Lectures on holographic non-Fermi liquids and quantum phase transitions, arXiv:1110.3814 [INSPIRE].
M. Tinkham, Introduction to superconductivity, second edition, Mac-Graw-Hill Inc. U.S.A. (1996).
B. Josephson, Possible new effects in superconductive tunnelling, Phys. Lett. 1 (1962) 251 [INSPIRE].
M. Montull, O. Pujolàs, A. Salvio and P.J. Silva, Flux periodicities and quantum hair on holographic superconductors, Phys. Rev. Lett. 107 (2011) 181601 [arXiv:1105.5392] [INSPIRE].
M. Montull, O. Pujolàs, A. Salvio and P.J. Silva, Magnetic response in the holographic insulator/superconductor transition, JHEP 04 (2012) 135 [arXiv:1202.0006] [INSPIRE].
R.-G. Cai, L. Li, L.-F. Li, H.-Q. Zhang and Y.-L. Zhang, Wilson line response of holographic superconductors in Gauss-Bonnet gravity, Phys. Rev. D 87 (2013) 026002 [arXiv:1209.5049] [INSPIRE].
Y.-Q. Wang, Y.-X. Liu and Z.-H. Zhao, Holographic Josephson junction in 3 + 1 dimensions, arXiv:1104.4303 [INSPIRE].
Y.-Q. Wang, Y.-X. Liu and Z.-H. Zhao, Holographic p-wave Josephson junction, arXiv:1109.4426 [INSPIRE].
Y.-Q. Wang, Y.-X. Liu, R.-G. Cai, S. Takeuchi and H.-Q. Zhang, Holographic SIS Josephson junction, JHEP 09 (2012) 058 [arXiv:1205.4406] [INSPIRE].
L.N. Trefethen, Spectral methods in MATLAB, SIAM, Philadelphia U.S.A. (2000).
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ArXiv ePrint: 1308.5088
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Cai, RG., Wang, YQ. & Zhang, HQ. A holographic model of SQUID. J. High Energ. Phys. 2014, 39 (2014). https://doi.org/10.1007/JHEP01(2014)039
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DOI: https://doi.org/10.1007/JHEP01(2014)039