标题： 强耦合区三维四维全息超导体的临界磁场 显示英文标题

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

摘要： 在这封信中，我们在强磁场存在的情况下，探讨了一种$3+1$强耦合超导体的不同方面。 为了研究这个有趣且高度复杂的系统，我们利用了全息对应关系。 我们构建了一个引力解，该解包含了完全反作用的麦克斯韦场，同时将带电标量场视为在此背景上传播的小扰动。 我们的工作重点在于强耦合条件下强磁场对超导性的影响，提供了关于这种场如何修改超导相关键方面的见解。 通过全息模型的严谨数值分析，我们揭示了由磁场与超导凝聚体之间的相互作用产生的有趣效应。 显示英文摘要

摘要： 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.