https://doi.org/10.1140/epjc/s10052-020-08594-4
Regular Article – Theoretical Physics
The holographic p + ip solution failed to win the competition in dRGT massive gravity
1
Kunming University of Science and Technology, 650500, Kunming, China
2
College of Science, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China
Received:
1
May
2020
Accepted:
21
October
2020
Published online:
2
November
2020
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 
. 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 
.
© The Author(s) 2020
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