P-wave holographic superconductor/insulator phase transitions affected by dark matter sector

The holographic approach to building the p-wave superconductors results in three different models: the Maxwell-vector, the SU(2) Yang-Mills and the helical. In the probe limit approximation, we analytically examine the properties of the first two models in the theory with dark matter sector. It turns out that the effect of dark matter on the Maxwell-vector p-wave model is the same as on the s-wave superconductor studied earlier. For the non-Abelian model we study the phase transitions between p-wave holographic insulator/superconductor and metal/superconductor. Studies of marginally stable modes in the theory under consideration allow us to determine features of p-wave holographic droplet in a constant magnetic field. The dependence of the superconducting transition temperature on the coupling constant alpha to the dark matter sector is affected by the dark matter density rho(D). For rho(D) > rho the transition temperature is a decreasing function of alpha. The critical chemical potential mu(c) for the quantum phase transition between insulator and metal depends on the chemical potential of dark matter mu(D) and for mu(D) = 0 is a decreasing function of alpha.