Holographic superconductor models in the non-minimal derivative coupling theory

TL;DR

This paper investigates holographic superconductor models with non-minimal derivative coupling, analyzing how the coupling affects phase transition properties, critical temperature, and conductivity ratios.

Contribution

It introduces a holographic superconductor model with kinetic coupling to Einstein's tensor and examines its phase transition characteristics and conductivity behavior.

Findings

Coupling parameter influences critical temperature and phase transition order.

Critical exponents near second-order transitions are affected by the coupling.

Conductivity ratios vary with different coupling parameters.

Abstract

We study a general class of holographic superconductor models via the St\"{u}ckelberg mechanism in the non-minimal derivative coupling theory in which the charged scalar field is kinetically coupling to Einstein's tensor. We explore the effects of the coupling parameter on the critical temperature, the order of phase transitions and the critical exponents near the second-order phase transition point. Moreover, we compute the electric conductive using the probe approximation and check the ratios $\omega_g/T_c$ for the different coupling parameters.