Noncommutative effects of spacetime on holographic superconductors

TL;DR

This paper analytically explores how noncommutative spacetime influences holographic superconductors, revealing that increased noncommutativity and Born-Infeld parameters hinder condensate formation, with black hole mass also playing a significant role.

Contribution

It introduces an analytical study of holographic superconductors in noncommutative spacetime considering Born-Infeld electrodynamics, highlighting the effects of noncommutativity on critical temperature and condensate formation.

Findings

Higher noncommutative parameter makes condensate harder to form.

Increased Born-Infeld parameter inhibits condensate formation.

Larger black hole mass favors condensate formation.

Abstract

The Sturm-Liouville eigenvalue method is employed to analytically investigate the properties of holographic superconductors in higher dimensions in the framework of Born-Infeld electrodynamics incorporating the effects of noncommutative spacetime. In the background of pure Einstein gravity in noncommutative spacetime, we obtain the relation between the critical temperature and the charge density. We also obtain the value of the condensation operator and the critical exponent. Our findings suggest that higher the value of noncommutative parameter and Born-Infeld parameter make the condensate harder to form. We also observe that the critical temperature depends on the mass of the black hole and higher value of black hole mass is favourable for the formation of the condensate.