Critical magnetic field in the strong regime for 3+1 holographic superconductors

TL;DR

This paper investigates the effects of intense magnetic fields on a strongly coupled 3+1 dimensional superconductor using holographic duality, revealing how magnetic fields influence superconducting properties through numerical analysis.

Contribution

It introduces a holographic model with a fully backreacted Maxwell field and a perturbative scalar, providing new insights into magnetic field effects on strongly coupled superconductors.

Findings

Magnetic fields significantly alter the superconducting phase.

Numerical results show modifications in the critical magnetic field.

The model offers a detailed understanding of magnetic suppression of superconductivity.

Abstract

In this letter, we explore different aspects of a $3+1$ strongly coupled superconductor in the presence of an intense magnetic field. In order to study this interesting and highly complicated system, we make use of the holographic correspondence. We construct a gravitational solution incorporating a fully backreacted Maxwell field while treating a charged scalar field as a perturbation propagating on this background. Our work focuses on the implications of intense magnetic fields on superconductivity in the strongly coupled regime, offering insights into the modifications that such a field induces on key aspects of the superconducting phase. Through rigorous numerical analysis of the holographic model, we uncover intriguing effects arising from the interplay between the magnetic field and the superconducting condensate.