The enhanced holographic superconductor: is it possible?

TL;DR

This paper investigates whether time-dependent electric fields can enhance holographic superconductors using gravity dual models, concluding that such enhancement does not occur in this framework, contrasting with some previous claims.

Contribution

It clarifies the role of time-dependent electric fields in holographic superconductors and refutes the possibility of enhancement under these conditions.

Findings

Time-dependent electric fields do not enhance holographic superconductivity.

Previous claims of enhancement via chemical potential are questioned.

The study provides a more accurate modeling approach for dynamic perturbations.

Abstract

It is known that time-dependent perturbations can enhance superconductivity and increase the critical temperature. If this phenomenon happens to high-T_c superconductors, one could obtain room-temperature superconductors, but this is still an open issue experimentally. Meanwhile, we would like to understand this phenomenon from gravity dual and see if the enhancement is possible for holographic superconductors. Previous work (arXiv:1104.4098 [hep-th]) has studied this issue by adding a "time-dependent chemical potential," but their analysis is questionable as a true dynamic equilibrium. In particular, the AdS boundary does not supply energy to the bulk spacetime in their setup. A more appropriate way to discuss the enhancement is to add a time-dependent vector potential, i.e., a time-dependent electric field. However, the enhancement does not occur for holographic superconductors.