Noncommutative effects on holographic superconductors with power Maxwell electrodynamics

TL;DR

This paper analytically explores how noncommutative spacetime and power Maxwell electrodynamics influence the properties of holographic superconductors, revealing effects on critical temperature, condensate formation, and magnetic field response.

Contribution

It introduces an analytical study of holographic superconductors incorporating noncommutative effects and power Maxwell electrodynamics, extending previous models to higher dimensions.

Findings

Larger noncommutative parameter and power Maxwell parameter hinder condensate formation.

Critical magnetic field increases with the noncommutative parameter.

Critical temperature decreases as noncommutative effects become stronger.

Abstract

The matching method is employed to analytically investigate the properties of holographic superconductors in higher dimensions in the framework of power Maxwell electrodynamics taking into account the effects of spacetime noncommutativity. The relationship between the critical temperature and the charge density and the value of the condensation operator is obtained first. The Meissner like effect is then studied. The analysis indicate that larger values of the noncommutative parameter and the parameter $q$ appearing in the power Maxwell theory makes the condensate difficult to form. The critical magnetic field however increases with increase in the noncommutative parameter $\theta$.