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arXiv · 1910.07734

Excited states of holographic superconductors

Yong-Qiang Wang·Tong-Tong Hu·Yu-Xiao Liu·Jie Yang·Li Zhao
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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.\ {\bf 101}, 031601 (2008)]. 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 $\sigma$ of each excited state has an additional pole in $\text{Im}[\sigma]$ and a delta function in $\text{Re}[\sigma]$ arising at the low temperature inside the gap, which is just the evidence of the existence of excited states.

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Yong-Qiang Wang, Tong-Tong Hu, Yu-Xiao Liu, Jie Yang, Li Zhao. 2019-10-17. Excited states of holographic superconductors. https://doi.org/10.1007/jhep06(2020)013

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