Abstract
We construct the simplest gravitational dual model of a superconductor on Q-lattices. We analyze the condition for the existence of a critical temperature at which the charged scalar field will condense. In contrast to the holographic superconductor on ionic lattices, the presence of Q-lattices will suppress the condensate of the scalar field and lower the critical temperature. In particular, when the Q-lattice background is dual to a deep insulating phase, the condensation would never occur for some small charges. Furthermore, we numerically compute the optical conductivity in the superconducting regime. It turns out that the presence of Q-lattice does not remove the pole in the imaginary part of the conductivity, ensuring the appearance of a delta function in the real part. We also evaluate the gap which in general depends on the charge of the scalar field as well as the Q-lattice parameters. Nevertheless, when the charge of the scalar field is relatively large and approaches the probe limit, the gap becomes universal with ω g ≃ 9T c which is consistent with the result for conventional holographic superconductors.
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Ling, Y., Liu, P., Niu, C. et al. Holographic superconductor on Q-lattice. J. High Energ. Phys. 2015, 59 (2015). https://doi.org/10.1007/JHEP02(2015)059
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DOI: https://doi.org/10.1007/JHEP02(2015)059