Lifshitz scaling effects on holographic paramagnetism/ferromagneism 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 semi-analytical 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.

28 pages,17 figures. arXiv admin note: substantial text overlap with arXiv:1507.00546; text overlap with arXiv:1404.7737, arXiv:1601.02936 by other authors

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Cited by in corpus (5)

• Holographic paramagnetism-ferromagnetism phase transition with the nonlinear electrodynamics
• Holographic paramagnetic-ferromagnetic phase transition with Power-Maxwell electrodynamics
• Holographic paramagnetic-ferromagnetic phase transition of Power-Maxwell-Gauss-Bonnet black holes
• Effective Potential in the 3D Massive 2-form Gauge Superfield Theory
• Lifshitz scaling effects on the holographic paramagnetic-ferromagnetic phase transition