Holographic insulator/superconductor phase transition with Weyl corrections

TL;DR

This paper analytically studies the effects of Weyl corrections on holographic insulator/superconductor phase transitions, revealing model-dependent influences on transition difficulty and confirming mean-field critical behavior.

Contribution

It provides the first analytical investigation of Weyl correction effects on holographic phase transitions, highlighting differences between s-wave and p-wave models.

Findings

Weyl couplings make p-wave transitions harder to occur.

Weyl corrections do not influence the critical chemical potential in s-wave models.

Critical exponents remain at mean-field values regardless of Weyl corrections.

Abstract

We analytically investigate the phase transition between the holographic insulator and superconductor with Weyl corrections by using the variational method for the Sturm-Liouville eigenvalue problem. We find that similar to the curvature corrections, in p-wave model, the higher Weyl couplings make the insulator/superconductor phase transition harder to occur. However, in s-wave case the Weyl corrections do not influence the critical chemical potential, which is in contrast to the effect caused by the curvature corrections. Moreover, we observe that the Weyl corrections will not affect the critical phenomena and the critical exponent of the system always takes the mean-field value in both models. Our analytic results are found to be in good agreement with the numerical findings.