Vector condensate and AdS soliton instability induced by a magnetic field

  • Rong-Gen Cai
  • Li LiEmail author
  • Li-Fang Li
  • You Wu
Open Access


We continue to study the holographic p-wave superconductor model in the Einstein-Maxwell-complex vector field theory with a non-minimal coupling between the complex vector field and the Maxwell field. In this paper we work in the AdS soliton background which describes a conformal field theory in the confined phase and focus on the probe approximation. We find that an applied magnetic field can lead to the condensate of the vector field and the AdS soliton instability. As a result, a vortex lattice structure forms in the spatial directions perpendicular to the applied magnetic field. As a comparison, we also discuss the vector condensate in the Einstein-SU(2) Yang-Mills theory and find that in the setup of the present paper, the Einstein-Maxwell-complex vector field model is a generalization of the SU(2) model in the sense that the vector field has a general mass and gyromagnetic ratio.


Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) 


Open Access

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Copyright information

© The Author(s) 2014

Authors and Affiliations

  1. 1.State Key Laboratory of Theoretical Physics, Institute of Theoretical PhysicsChinese Academy of SciencesBeijingChina
  2. 2.State Key Laboratory of Space Weather, Center for Space Science and Applied ResearchChinese Academy of SciencesBeijingChina
  3. 3.Department of physicsRenmin University of ChinaBeijingChina

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