  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.

High Energy Physics - Theory