Abstract
In this paper, the holographic p-wave superfluid model with charged complex vector field is studied in dRGT massive gravity beyond the probe limit. The stability of p-wave and p + ip solutions are compared in the grand canonical ensemble. The p-wave solution always get lower value of grand potential than the p + ip solution, showing that the holographic system still favors an anisotropic (p-wave) solution even with considering a massive gravity theory in bulk. In the holographic superconductor models with dRGT massive gravity in bulk, a key scaling symmetry is found to be violated by fixing the reference metric parameter c_0. Therefore, in order to get the dependence of condensate and grand potential on temperature, different values of horizon radius should be considered in numerical work. With a special choice of model parameters, we further study the dependence of critical back-reaction strength on the graviton mass parameter, beyond which the superfluid phase transition become first order. We also give the dependence of critical temperature on the back reaction strength b and graviton mass parameter m^2.
Highlights
Superfluid with p-wave pairing has been realized holographically
With a special choice of model parameters, we further study the dependence of critical back-reaction strength on the graviton mass parameter, beyond which the superfluid phase transition become first order
We studied the complex vector p-wave mode within dRGT massive gravity
Summary
Superfluid with p-wave pairing has been realized holographically. In the early study [8], an SU(2) gauge field is introduced and the three generators are used to realize the electro-magnetic vector potential and the condensed vector orders respectively, with the non-Abelian coupling between the generators act as the U(1) charged coupling. [16], it is found that in the study of p-wave phase transitions the massive vector holographic p-wave model with m. The holographic superconductor model with s-wave paring has been studied in this massive gravity theory [29], giving a finite value of conductivity at zero frequency. Since the massive gravity theory has non-trivial effects in the holographic study, it would be interesting to study the problems of competition between p-wave and p + ip orders as well as the conductivity in the p + ip solution, before which building a stable p + ip solution is necessary. We study the p-wave and p + ip solutions in a holographic model with charged complex vector field in dRGT massive gravity.
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