Lifshitz scaling effects on the holographic p-wave superconductors coupled to nonlinear electrodynamics

Abstract

We employ gauge/gravity duality to study the effects of Lifshitz scaling on the holographic $p$ wave superconductors in the presence of Born-Infeld (BI) nonlinear electrodynamics. By using the shooting method in the probe limit, we calculate the relation between critical temperature $T_c$ and ${\rho }^{z/d}$ numerically for different values of mass, nonlinear parameter $b$ and Lifshitz critical exponent $z$ in various dimensions. We observe that critical temperature decreases by increasing $b$, $z$ or the mass parameter $m$ which makes conductor/superconductor phase transition harder to form. In addition, we analyze the electrical conductivity and find the behavior of real and imaginary parts as a function of frequency which depend on the model parameters. However, some universal behaviors are seen. For instance at low frequencies, real part of conductivity shows a delta function behavior while the imaginary part has a pole which means that these two parts are connected to each other through Kramers-Kronig relation. The behavior of real part of conductivity in the large frequency regime can be achieved by $Re[\sigma ]={\omega }^{D-4}$. Furthermore, with increasing the Lifshitz scaling $z$, the energy gap and the minimum values of the real and imaginary parts become unclear.

It's accepted by EPJC

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Cited by in corpus (5)

• Lifshitz symmetry: Lie algebras, spacetimes and particles
• Gauss-Bonnet holographic superconductors in lower-dimensions
• Bose-Einstein condensation in Hořava-Lifshitz theory
• Higher-dimensional Holographic Superconductors in Born-Infeld Electrodynamics and f(R) Gravity
• Lifshitz scaling effects on the holographic paramagnetic-ferromagnetic phase transition