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

Mahya Mohammadi; Ahmad Sheykhi

doi:10.1140/epjc/s10052-020-08489-4

paper

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

arXiv:2010.07105 · doi:10.1140/epjc/s10052-020-08489-4

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 $ρ^{z / d}$ 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 $R e [σ] = ω^{D - 4}$ . Furthermore, with increasing the Lifshitz scaling $z$ , the energy gap and the minimum values of the real and imaginary parts become unclear.

arXiv commentIt's accepted by EPJC

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

Abstract

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