Lifshitz scaling effects on the holographic paramagnetism-ferromagnetism phase transition

Abstract

In the probe limit, we investigate holographic paramagnetism -ferromagnetism phase transition in the four-dimensional (4D) and five-dimensional(5D) Lifshitz black holes by means of numerical and semianalytical methods, which is realized by introducing a massive 2 -form field coupled to the Maxwell field. We find that the Lifshitz dynamical exponent z contributes evidently to magnetic moment and hysteresis loop of single magnetic domain quantitatively not qualitatively. Concretely, in the case without external magnetic field, the spontaneous magnetization and ferromagnetic phase transition happen when the temperature gets low enough, and the critical exponent for the magnetic moment is always 1/2, which is in agreement with the result from mean field theory. And the increasing z enhances the phase transition and increases the DC resistivity which behaves as the colossal magnetic resistance effect in some materials. Furthermore, in the presence of the external magnetic field, the magnetic susceptibility satisfies the Cure-Weiss law with a general z. But the increase of z will result in shortening the period of the external magnetic field.

Holographic paramagnetism–ferromagnetism phase transition with the nonlinear electrodynamics

“…Since then, a large number of the holographic dual models have been constructed and some interesting behaviors have been found, for reviews, see Refs. [18][19][20][21][22][23][24][25] and references therein.…”

Holographic paramagnetic-ferromagnetic phase transition with Power-Maxwell electrodynamics

“…This model was extended by introducing two antisymmetric tensor fields which correspond with two magnetic sublattices in the materials [17]. In the framework of usual Maxwell electrodynamics, holographic paramagnetism-ferromagnetism phase transition have been investigated [17][18][19][20][21][22][23][24]. However, it is interesting to investigate the effects of nonlinear electrodynamics on the properties of the holographic paramagnetic-ferromagnetic phase transition.…”

“…[18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] and reference therein). The studies were also generalized to investigate paramagnetic-ferromagnetic phase transition using the holographic description [33][34][35][36][37][38][39][40][41][42][43]56]. The first holographic paramagnetic-ferromagnetic phase transition model was a dyonic Reissner-Nordstrom-AdS black brane [33].…”

“…It was argued that the spontaneous magnetization which happens in the absence of an external magnetic field, can be realized as the paramagnetic-ferromagnetic phase transition. Most investigations on holographic paramagnetism-ferromagnetism phase transition have been carried out by considering the gauge field as a linear Maxwell field in Einstein gravity [34][35][36][37][38][39][40][41]. It is also of great interest to explore the effects of nonlinear electrodynamics on the properties of the holographic ferromagnetic-paramagnetic phase transition.…”