p-Wave holographic superconductors with Weyl corrections

TL;DR

This paper investigates (3+1)D p-wave holographic superconductors with Weyl corrections, analyzing how the critical temperature and condensation behavior change with Weyl coupling, using both numerical and analytical methods.

Contribution

It provides a combined numerical and analytical study of Weyl-corrected p-wave holographic superconductors, revealing how Weyl corrections influence critical temperature and condensation.

Findings

Critical temperature decreases as Weyl coupling increases.

Analytical results agree with numerical findings in the strong coupling limit.

Critical exponent of 1/2 for chemical potential and order parameter is confirmed.

Abstract

We study the (3+1) dimensional p-wave holographic superconductors with Weyl corrections both numerically and analytically. We describe numerically the behavior of critical temperature $T_{c}$ with respect to charge density $\rho$ in a limited range of Weyl coupling parameter $\gamma$ and we find in general the condensation becomes harder with the increase of parameter $\gamma$. In strong coupling limit of Yang-Mills theory, we show that the minimum value of $T_{c}$ obtained from analytical approach is in good agreement with the numerical results, and finally show how we got remarkably a similar result in the critical exponent 1/2 of the chemical potential $\mu$ and the order parameter$<J^1_x>$ with the numerical curves of superconductors.