2008

A Holographic Superconductor in an External Magnetic Field

Albash, Tameem, Johnson, Clifford V.

Understand

We study a system of a complex charged scalar coupled to a Reissner-Nordstrom black hole in 3+1 dimensional anti-de Sitter spacetime, neglecting back-reaction.

With suitable boundary conditions, the cases of a neutral and purely electric black hole have been studied in various limits and were shown to yield key elements of superconductivity in the dual 2+1 dimensional field theory, forming a condensate below a critical temperature.
By adding magnetic charge to the black hole, we immerse the superconductor into an external magnetic field.
We show that a family of condensates can form and we examine their structure.

Built on

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Similar

S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,” Phys. Lett
1998
Cited alongside, same era.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
1998
Cited alongside, same era.
A. Chamblin, R. Emparan, and G. W. Gibbons, “Superconducting p-branes and extremal black holes,” Phys. Rev
1998
Cited alongside, same era.
A. Chamblin, R. Emparan, C. V. Johnson, and R. C. Myers, “Charged AdS black holes and catastrophic holography,” Phys. Rev
1999
Cited alongside, same era.
A. Chamblin, R. Emparan, C. V. Johnson, and R. C. Myers, “Holography, thermodynamics and fluctuations of charged AdS black holes,” Phys. Rev
1999
Cited alongside, same era.
J. D. Bekenstein, “Black hole hair: Twenty-five years after,” gr-qc/9605059
Cited in the paper.
S. S. Gubser, “Breaking an Abelian gauge symmetry near a black hole horizon,” 0801.2977
Original
Cited in the paper.
S. S. Gubser, “Colorful horizons with charge in anti-de Sitter space,” 0803.3483
Original
Cited in the paper.
S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, “Building an AdS/CFT superconductor,” 0803.3295
Original
Cited in the paper.
E. Nakano and W.-Y. Wen, “Critical magnetic field in AdS/CFT superconductor,” 0804.3180
Original
Cited in the paper.

Then

I. R. Klebanov and E. Witten, “AdS/CFT correspondence and symmetry breaking,” Nucl. Phys
1999
Later among the works it cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri, and Y. Oz, “Large N field theories, string theory and gravity,” Phys. Rept
2000
Later among the works it cites.
S. S. Gubser, “Phase transitions near black hole horizons,” Class. Quant. Grav
2005
Later among the works it cites.
S. Kobayashi, D. Mateos, S. Matsuura, R. C. Myers, and R. M. Thomson, “Holographic phase transitions at finite baryon density,” JHEP
2007
Later among the works it cites.
S. A. Hartnoll and P. Kovtun, “Hall conductivity from dyonic black holes,” Phys. Rev
Original
2007
Later among the works it cites.

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