2019/10/31 by Yong-Qiang Wang, Tong-Tong Hu, Yu-Xiao Liu +2 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conductivity #Cosmology and Gravitation Theories #Excited state #Geometry and complex manifolds #Gravitation #Scalar (mathematics) #Superconductivity #Work (physics) #cond-mat.supr-con #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep06(2020)013
13 pages, 3 figures; V2: discussions and references added, accepted for publication in JHEP
openalex created_date 2019/10/25 · arxiv created 2020/05/12 · openalex publication_date 2020/06/01 · arxiv updated 2020/06/24 · openalex updated_date 2026/08/05
A bstract 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.