ΕGLYPH<Equal> 0, m $^{2}$L$_{AdS}$2 GLYPH<Equal> 0 0 10 20 30 40 GLYPH<Minus> 0.5 0.0 0.5 1.0 Ω T$_{c}$ Σ ΕGLYPH<Equal> 0.1, m $^{2}$L$_{AdS}$2 GLYPH<Equal> 0 0 10 20 30 40 GLYPH<Minus> 0.5 0.0 0.5 1.0 Ω T$_{c}$ Σ ΕGLYPH<Equal> 0.5, m $^{2}$L$_{AdS}$2 GLYPH<Equal> 0 0 10 20 30 40 GLYPH<Minus> 0.5 0.0 0.5 1.0 Ω T$_{c}$ Σ ΕGLYPH<Equal> 0.99, m $^{2}$L$_{AdS}$2 GLYPH<Equal> 0 0 10 20 30 40 GLYPH<Minus> 0.5 0.0 0.5 1.0 Ω T$_{c}$ Σ ΕGLYPH<Equal> 0, m $^{2}$L$_{AdS}$2 GLYPH<Equal>GLYPH<Minus> 1 0 10 20 30 40 GLYPH<Minus> 0.5 0.0 0.5 1.0 Ω T$_{c}$ Σ ΕGLYPH<Equal> 0.1, m $^{2}$L$_{AdS}$2 GLYPH<Equal>GLYPH<Minus> 1 0 10 20 30 40 GLYPH<Minus> 0.5 0.0 0.5 1.0 Ω T$_{c}$ Σ ΕGLYPH<Equal> 0.5, m $^{2}$L$_{AdS}$2 GLYPH<Equal>GLYPH<Minus> 1 0 10 20 30 40 GLYPH<Minus> 0.5 0.0 0.5 1.0 Ω T$_{c}$ Σ ΕGLYPH<Equal> 0.99, m $^{2}$L$_{AdS}$2 GLYPH<Equal>GLYPH<Minus> 1 0 10 20 30 40 GLYPH<Minus> 0.5 0.0 0.5 1.0 Ω T$_{c}$ Σ ΕGLYPH<Equal> 0, m $^{2}$L$_{AdS}$2 GLYPH<Equal>GLYPH<Minus> 2 0 10 20 30 40 GLYPH<Minus> 1.0 GLYPH<Minus> 0.5 0.0 0.5 1.0 1.5 Ω T$_{c}$ Σ ΕGLYPH<Equal> 0.1, m $^{2}$L$_{AdS}$2 GLYPH<Equal>GLYPH<Minus> 2 0 10 20 30 40 GLYPH<Minus> 0.5 0.0 0.5 1.0 Ω T$_{c}$ Σ ΕGLYPH<Equal> 0.5, m $^{2}$L$_{AdS}$2 GLYPH<Equal>GLYPH<Minus> 2 0 10 20 30 40 GLYPH<Minus> 0.5 0.0 0.5 1.0 Ω T$_{c}$ Σ ΕGLYPH<Equal> 0.99, m $^{2}$L$_{AdS}$2 GLYPH<Equal>GLYPH<Minus> 2 0 10 20 30 40 GLYPH<Minus> 0.5 0.0 0.5 1.0 Ω T$_{c}$ Σ m $^{2}$L$_{AdS}$ 2 GLYPH<Equal> 0 m $^{2}$L$_{AdS}$ 2 GLYPH<Equal>GLYPH<Minus> 1 m $^{2}$L$_{AdS}$ 2 GLYPH<Equal>GLYPH<Minus> 2 0.0 0.2 0.4 0.6 0.8 1.0 8 9 10 11 12 13 14 Ε Ω g GLYPH<Slash1> T c FIG. 4: (Color online) The conductivity of the superconductors for ϵ = 0 , 0 . 1 , 0 . 5 and 0 . 99 with m $^{2}$L2 AdS = 0 , − 1 and − 2. The solid (blue) line represents the real part of the conductivity, Re ( σ ), and dashed (red) line is the imaginary part of the conductivity, Im ( σ ). FIG. 5: (Color online) The ratio ω$_{g}$/ T$_{c}$ as a function of the balance parameter with fixed values m $^{2}$L2 $_{AdS}$. In Fig. 4 we plot the frequency dependent conductivity obtained by solving the Maxwell equation numerically for ϵ = 0 , 0 . 1 , 0 . 5 and 0 . 99 with m $^{2}$L2 AdS = 0 , − 1 and − 2. We find a gap in the con- ductivity with the gap frequency ω$_{g}$ . For the same value of m $^{2}$L2 $_{AdS}$, the gap frequency ω$_{g}$ decreases with the increase of the constant ϵ . In each plot, the real part of the conductivity, Re[ σ ], approaches to a limit when the frequency grows. The limit for the case ϵ = 0 is one, but general it increases as ϵ increases. The imaginary part of conductivity Im[ σ ] becomes zero when ω → ∞ , but it goes to 11