Abstract
We construct a holographic SU(2) p-wave superconductor model with Weyl corrections. The high derivative (HD) terms do not seem to spoil the generation of the p-wave superconducting phase. We mainly study the properties of AC conductivity, which is absent in holographic SU(2) p-wave superconductor with Weyl corrections. The conductivities in superconducting phase exhibit obvious anisotropic behaviors. Along y direction, the conductivity sigma _{yy} is similar to that of holographic s-wave superconductor. The superconducting energy gap exhibits a wide extension. For the conductivity sigma _{xx} along x direction, the behaviors of the real part in the normal state are closely similar to that of sigma _{yy}. However, the anisotropy of the conductivity obviously shows up in the superconducting phase. A Drude-like peak at low frequency emerges in Resigma _{xx} once the system enters into the superconducting phase, regardless of the behaviors in normal state.
Highlights
The AdS/CFT correspondence [1,2,3,4], linking a gravity theory in a (d + 1) dimensional AdS spacetime to a conformal field theory on its d dimensional boundary, has provided very valuable insights into the condensed matter theory (CMT)
Some universal properties of high Tc superconductor are addressed in holographic superconductor [5,6,7]
The superconducting energy gap ωg/Tc is approximately 8, which belongs to the region of some high Tc superconductor materials [8]
Summary
The AdS/CFT correspondence [1,2,3,4], linking a gravity theory in a (d + 1) dimensional AdS spacetime to a conformal field theory on its d dimensional boundary, has provided very valuable insights into the condensed matter theory (CMT). The superconducting energy gap ωg/Tc is approximately 8, which belongs to the region of some high Tc superconductor materials [8] Another important high derivative (HD) term is the Weyl tensor coupled with the Maxwell field. An important characteristic is that the running of the superconducting energy gap ranging from 5.5 to 16.2 It suggests that in this holographic model, one can model the weakly coupled BCS theory and model some high Tc superconductor materials. A holographic p-wave superconductor model was first proposed by Gubser and Pufu [41] They introduced a SU(2) Yang–Mill gauge field, which leads to the superconducting phase transition.
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