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

Abstract

Abstract: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 α to the dark matter sector is affected by the dark matter density ρ D . For ρ D > ρ the transition temperature is a decreasing function of α. The critical chemical potential µ c for the quantum phase transition between insulator and metal depends on the chemical potential of dark matter µ D and for µ D = 0 is a decreasing function of α.

Viscosity of holographic fluid in the presence of dark matter sector

“…It is important to note that neither prefactor nor transition temperature itself in the above relation, depend on the coupling constant α of the dark matter. This makes the condensation of θ field completely different from earlier studied superconductors [56][57][58][59][60]. In the latter case both the condensation value and T c showed marked dependence on α.…”

“…On the other hand, as was revealed in [56][57][58][59][60], the condensation value is proportional to 1 − T Tc . It suggests that at the critical temperature T c , the Hall viscosity is independent on α-coupling constant, i.e., η H does not depend on the dark matter sector, in the probe limit.…”

“…The present paper is a continuation and extension of the efforts aiming at elucidation of the effect of dark matter on the properties of condensed systems [56][57][58][59][60][61][62]. The existing literature on the subject reports numerous theoretical and observational evidences supporting the existence of dark matter and its role as a possible source of the observed anomalies [63,64,[67][68][69][70][71][72][73][74][75][76][77][78][79].…”

Condensate flow in holographic models in the presence of dark matter

“…The same situation has been encountered earlier in the description of p-wave superconductors in [60]. Therefore we shall not discuss this model and concentrate on the other holographic superfluid p-wave model, the SU(2) one.…”

The emergence of superconducting systems in Anti-de Sitter space

“…We also assume the absence of back-reaction on the infinite boundary (r → ∞) of AdS [33] (back-reacting holographic superconductors were discussed in References [57][58][59][60]). We consider a small 2-D superconducting system with an applied static magnetic field H ⊥ -acting perpendicular to the x-y coordinates at the AdS boundary.…”