Noncommutative effects of charged black hole on holographic superconductors

TL;DR

This paper analytically explores how noncommutative geometry influences charged black holes and their impact on the formation of holographic superconductors, revealing that higher black hole charge makes condensation more difficult.

Contribution

It introduces an analytical approach to study noncommutative effects on charged black holes and holographic superconductors, focusing on charge influence.

Findings

Condensate formation becomes harder with increasing black hole charge.

Critical temperature decreases as black hole charge increases.

Analytical relations between charge density and critical temperature are established.

Abstract

In this paper, we analytically investigate the noncommutative effects of a charged black hole on holographic superconductors. The effects of charge of the black hole is investigated in our study. Employing the Sturm-Liouville eigenvalue method, the relation between the critical temperature and charge density is analytically investigated. The condensation operator is then computed. It is observed that condensate gets harder to form for large values of charge of the black hole.