Abstract
In this paper we re-investigate the model of the anti-de Sitter gravity coupled to Maxwell and charged scalar fields, which has been studied as the gravitational dual to a superconductor for a long time since the famous work [Phys. Rev. Lett. 101 (2008) 031601]. By numerical method, we present a novel family of solutions of holographical superconductor with excited states, and find there exists a lower critical temperature in the corresponding excited state. Moreover, we study the condensate and conductivity in the excited states. It is very interesting that the conductivity σ of each excited state has an additional pole in Im[σ] and a delta function in Re[σ] arising at the low temperature inside the gap, which is just the evidence of the existence of excited states.
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Wang, YQ., Hu, TT., Liu, YX. et al. Excited states of holographic superconductors. J. High Energ. Phys. 2020, 13 (2020). https://doi.org/10.1007/JHEP06(2020)013
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DOI: https://doi.org/10.1007/JHEP06(2020)013