We disclose the effects of Lifshitz dynamical exponent z on the properties of holographic paramagnetic-ferromagnetic phase transition in the background of Lifshitz spacetime. To preserve the conformal invariance in higher dimensions, we consider the Power-Maxwell (PM) electrodynamics as our gauge field. We introduce a massive 2-form coupled to the PM field and perform the numerical shooting method in the probe limit by assuming the PM and the 2-form fields do not back-react on the background geometry. The obtained results indicate that the critical temperature decreases with increasing the strength of the power parameter q and dynamical exponent z. Besides, the formation of the magnetic moment in the black hole background is harder in the absence of an external magnetic field. At low temperatures, and in the absence of an external magnetic field, our result show the spontaneous magnetization and the ferromagnetic phase transition. We find that the critical exponent takes the universal value \(\beta = 1/2\) regardless of the parameters q, z, d, which is in agreement with the mean field theory. In the presence of an external magnetic field, the magnetic susceptibility satisfies the Curie-Weiss law.

我们公开了 Lifshitz 动力学指数z对 Lifshitz 时空背景下全息顺磁-铁磁相变性质的影响。为了在更高维度上保持共形不变性，我们将 Power-Maxwell (PM) 电动力学视为我们的规范场。我们引入了一个与 PM 场耦合的大规模 2 型，并通过假设 PM 和 2 型场不会对背景几何产生反向反应，在探针极限中执行数值射击方法。得到的结果表明，临界温度随着功率参数q和动力指数z的强度的增加而降低。. 此外，在没有外部磁场的情况下，黑洞背景中磁矩的形成更加困难。在低温和没有外部磁场的情况下，我们的结果显示自发磁化和铁磁相变。我们发现临界指数采用普适值\(\beta = 1/2\)而不管参数q ,  z ,  d，这与平均场论是一致的。在存在外磁场的情况下，磁化率满足居里-魏斯定律。