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Journal of High Energy Physics

, 2015:21 | Cite as

Massive 2-form field and holographic ferromagnetic phase transition

  • Rong-Gen Cai
  • Run-Qiu Yang
  • Ya-Bo Wu
  • Cheng-Yuan Zhang
Open Access
Regular Article - Theoretical Physics
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Abstract

In this paper we investigate in some detail the holographic ferromagnetic phase transition in an AdS4 black brane background by introducing a massive 2-form field coupled to the Maxwell field strength in the bulk. In two probe limits, one is to neglect the back reaction of the 2-form field to the background geometry and to the Maxwell field, and the other to neglect the back reaction of both the Maxwell field and the 2-form field, we find that the spontaneous magnetization and the ferromagnetic phase transition always happen when the temperature gets low enough with similar critical behavior. We calculate the DC resistivity in a semi-analytical method in the second probe limit and find it behaves as the colossal magnetic resistance effect in some materials. In the case with the first probe limit, we obtain the off-shell free energy of the holographic model near the critical temperature and compare with the Ising-like model. We also study the back reaction effect and find that the phase transition is always second order. In addition, we find an analytical Reissner-Norström-like black brane solution in the Einstein-Maxwell-2-form field theory with a negative cosmological constant.

Keywords

Holography and condensed matter physics (AdS/CMT) AdS-CFT Correspondence Gauge-gravity correspondence Black Holes 
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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Rong-Gen Cai
    • 1
  • Run-Qiu Yang
    • 1
  • Ya-Bo Wu
    • 2
  • Cheng-Yuan Zhang
    • 2
  1. 1.State Key Laboratory of Theoretical Physics, Institute of Theoretical PhysicsChinese Academy of SciencesBeijingChina
  2. 2.Department of PhysicsLiaoning Normal UniversityDalianChina

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