We employ the matching method to analytically investigate the holographic superconductors with Lifshitz scaling in an external magnetic field. We discuss systematically the restricted conditions for the matching method and find that this analytic method is not always powerful to explore the effect of external magnetic field on the holographic superconductors unless the matching point is chosen in an appropriate range and the dynamical exponentzsatisfies the relationz=d?1orz=d?2. From the analytic treatment, we observe that Lifshitz scaling can hinder the condensation to be formed, which can be used to back up the numerical results. Moreover, we study the effect of Lifshitz scaling on the upper critical magnetic field and reproduce the well-known relation obtained from Ginzburg–Landau theory.
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机译：我们采用匹配方法来分析在外部磁场中具有Lifshitz缩放比例的全息超导体。我们系统地讨论了匹配方法的限制条件，并且发现该分析方法并非总是有效地探索外部磁场对全息超导体的影响，除非在合适的范围内选择匹配点并且动力学指数满足关系z = d 1orz ＝ d 2。从解析处理中，我们观察到Lifshitz结垢会阻碍结露的形成，这可用于备份数值结果。此外，我们研究了Lifshitz缩放对上限磁场的影响，并重现了从Ginzburg-Landau理论获得的众所周知的关系。
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