Lifshitz holographic superconductor in Horava-Lifshitz gravity

TL;DR

This paper investigates how Lifshitz scaling, higher curvature corrections, and dimensionality influence holographic superconductor phase transitions within Horava-Lifshitz gravity, using numerical and analytical methods.

Contribution

It introduces a detailed analysis of Lifshitz holographic superconductors in Horava-Lifshitz gravity, considering anisotropic scaling, $ ext{α}$-corrections, and various dimensions, which is a novel comprehensive study.

Findings

Critical temperature depends on Lifshitz exponent, $ ext{α}$-corrections, and dimensions.

Condensation and optical conductivity are significantly affected by model parameters.

Various properties of holographic condensation are characterized and discussed.

Abstract

We study the holographic phase transition of superconductor dual to a Lifshitz black brane probed by an anisotropic scalar field in the probe limit in Ho\u{r}ava-Lifshitz gravity. With the use of numerical and analytical method, we investigate how the critical temperature of the condensation is affected by the Lifshitz exponent $z$, $\alpha-$correction term in the action as well as the dimensions of the gravity. We also numerically explore the condensation of the dual operator and optical conductivity of the holographic system. Various interesting properties of the holographic condensation affected by the parameters of model are discussed.