Weyl holographic superconductor in the Lifshitz black hole background

TL;DR

This paper analytically studies the effects of Lifshitz scaling and Weyl coupling on holographic superconductors, revealing how these parameters influence critical temperature, magnetic field, and conductivity properties.

Contribution

It introduces an analytical investigation of Weyl holographic superconductors in Lifshitz black hole backgrounds, highlighting the impact of Lifshitz exponent and Weyl coupling on superconducting properties.

Findings

Critical temperature decreases with increasing Lifshitz exponent z.

Weyl coupling affects the critical temperature and condensation operator.

Parameters γ and z influence the conductivity peak and gap ratio.

Abstract

We investigate analytically the properties of the Weyl holographic superconductor in the Lifshitz black hole background. We find that the critical temperature of the Weyl superconductor decreases with increasing Lifshitz dynamical exponent, $z$, indicating that condensation becomes difficult. In addition, it is found that the critical temperature and condensation operator could be affected by applying the Weyl coupling, $\gamma$. Moreover, we compute the critical magnetic field and investigate its dependence on the parameters $\gamma$ and $z$. Finally, we show numerically that the Weyl coupling parameter $\gamma$ and the Lifshitz dynamical exponent $z$ together control the size and strength of the conductivity peak and the ratio of gap frequency over critical temperature $\omega_{g}/T_{c}$.