Holographic Superconductor Models with RF ² Corrections

Abstract

We investigate the effect of the RF 2 correction on the holographic superconductor model in the background of AdS black hole. We find that, similar to the effect caused by the Weyl correction, the higher RF 2 correction term can make it easier for the scalar operator to condense and result in the larger deviations from the expected relation in the gap frequency. However, if a non-trivial hair for the black hole has been triggered, we observe that the RF 2 correction and the Weyl correction do play different roles in the behavior of the condensation, which can be used to support the existing findings.

A holographic model of d-wave superconductor vortices with Lifshitz scaling

“…As another example, we set u m = 9/10 which can relax the breakdown when the matching point approaches the allowable region. The right graph of Fig.2 proves this point and shows that the critical magnetic field B c 2 decreases as we amplify z which is qualitatively in good agreement with the work of [42]. When T ∼ T c we can have B c 2 ∝ (1 − T /T c ) for different Lifshitz scaling which agrees well with the Ginzburg-Landau theory.…”

“…It is observed that corresponding to the lower critical temperature, the gap becomes increasingly smaller as z increases than the results in [42].…”

“…which has the same form as [42]. It is convenient to observe that there is a superconducting phase transition when B c 2 = 0 at T = T c where…”

“…Following the matching method applied in [42], which expands the fields f and φ near the horizon u = 1, reads off the expanded solutions from the equations of motion with the above boundary conditions, then matchs the asymptotic solutions at some intermediate point u = u m , in the end we obtain…”

Holographic superconductors with the general RF2-type couplings

“…Another special combination of these non-minimal terms may be obtained from a five dimensional Gauss-Bonnet gravity via dimensional reduction [10]. Holographic properties of the later non-minimal model are investigated in Schwarzschild-AdS [11] and in the charged black hole background [12].…”