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Lifshitz scaling effects on the holographic paramagnetism-ferromagnetism phase transition

Cheng-Yuan Zhang1, Ya-Bo Wu1,*, Yong-Yi Jin2, Yun-Tian Chai1, Mu-Hong Hu1, and Zhuo Zhang1

  • 1Department of physics, Liaoning Normal University, Dalian 116029, China
  • 2China criminal police University, Shenyang 110035, China

  • *ybwu61@163.com
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Phys. Rev. D 93, 126001 – Published 6 June, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.126001

Abstract

In the probe limit, we investigate holographic paramagnetism-ferromagnetism phase transition in the four-dimensional and five-dimensional 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 the magnetic moment and hysteresis loop of single magnetic domain quantitatively, not qualitatively. Concretely, in the case without an 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.

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Phys. Rev. D 93, 126001– Published 6 June, 2016
  • Received 14 March 2016

© 2016 American Physical Society

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