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Magnetic Field Effect on the Phase Transition in AdS Soliton Spacetime · Around

2011

Magnetic Field Effect on the Phase Transition in AdS Soliton Spacetime

Cai, Rong-Gen, Li, Li, Zhang, Hai-Qing et al.

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We investigate the scalar perturbations in an AdS soliton background coupled to a Maxwell field via marginally stable modes.

In the probe limit, we study the magnetic field effect on the holographic insulator/superconductor phase transition numerically and analytically.
The condensate will be localized in a finite circular region for any finite constant magnetic field.
Near the critical point, we find that there exists a simple relation among the critical chemical potential, magnetic field, the charge and mass of the scalar field.

Built on

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S. A. Hartnoll, C. P. Herzog, G. T. Horowitz, “Holographic Superconductors,” JHEP 0812
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T. Albash, C. V. Johnson, “A Holographic Superconductor in an External Magnetic Field,” JHEP 0809
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S. S. Gubser and S. S. Pufu, “The Gravity dual of a p-wave superconductor,” JHEP 0811
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Then

T. Nishioka, S. Ryu, T. Takayanagi, “Holographic Superconductor/Insulator Transition at Zero Temperature,” JHEP 1003
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2010
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G. T. Horowitz, B. Way, “Complete Phase Diagrams for a Holographic Superconductor/Insulator System,” JHEP 1011
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X. -H. Ge, B. Wang, S. -F. Wu, G. -H. Yang, “Analytical study on holographic superconductors in external magnetic field,” JHEP 1008
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G. Siopsis, J. Therrien, “Analytic calculation of properties of holographic superconductors,” JHEP 1005
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Y. Peng, Q. Pan, B. Wang, “Various types of phase transitions in the AdS soliton background,” Phys. Lett. B699

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