Exact gravity dual of a gapless superconductor

Koutsoumbas, G.; Papantonopoulos, Eleftherios; Siopsis, George

doi:10.1088/1126-6708/2009/07/026

Cited by 62 publications

(55 citation statements)

References 36 publications

(68 reference statements)

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“…where a prime denotes the derivative with respect to r. At the event horizon r = r + of the black hole, we must have 8) and at the asymptotic AdS region (r → ∞), the solutions behave like…”

Section: Einstein-gauss-bonnet Ads 5 Black Hole and Superconductormentioning

confidence: 99%

“…The AdS/CFT duality is a powerful tool for investigating strongly coupled gauge theories, the application might offer new insight into the study of strongly interacting condensed matter systems where the perturbational methods are no longer available. Therefore, much attention has been given to the studies of the AdS/CFT duality to condensed matter physics and in particular to superconductivity recently [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. In these studies most of the holographically dual descriptions for a superconductor are based on a model that a simple Einstein-Maxwell theory coupled to a charged scalar.…”

Section: Introductionmentioning

confidence: 99%

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Holographic superconductor/insulator transition with logarithmic electromagnetic field in Gauss–Bonnet gravity

2012

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The behaviors of the holographic superconductors/insulator transition are studied by introducing a charged scalar field coupled with a logarithmic electromagnetic field in both the Einstein-Gauss-Bonnet AdS black hole and soliton. For the Einstein-Gauss-Bonnet AdS black hole, we find that: i) the larger coupling parameter of logarithmic electrodynamic field b makes it easier for the scalar hair to be condensated;ii) the ratio of the gap frequency in conductivity ω g to the critical temperature T c depends on both b and the Gauss-Bonnet constant α; and iii) the critical exponents are independent of the b and α. For the EinsteinGauss-Bonnet AdS Soliton, we show that the system is the insulator phase when the chemical potential µ is small, but there is a phase transition and the AdS soliton reaches the superconductor (or superfluid) phase when µ larger than critical chemical potential. A special property should be noted is that the critical chemical potential is not changed by the coupling parameter b but depends on α.

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Section: Einstein-gauss-bonnet Ads 5 Black Hole and Superconductormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Holographic superconductor/insulator transition with logarithmic electromagnetic field in Gauss–Bonnet gravity

2012

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“…In the gauge/gravity duality, the nontrivial dilaton profile can be identified with the running coupling constant of the dual gauge theory. It was also shown that the nontrivial dilaton coupling of the gauge fluctuation plays an important role to determine the properties of the dual gauge theory leading to the strange metallic behavior [20,21,23,30,54,55,56]. Therefore it is, indeed interesting to study hydrodynamic properties of the vector fluctuations with or without a nontrivial dialton profile.…”

Section: Properties Of the Non-conformal Dual Gauge Theorymentioning

confidence: 99%

Non-conformal hydrodynamics in Einstein-dilaton theory

Kulkarni¹,

Lee²,

Park³

et al. 2012

J. High Energ. Phys.

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In the Einestein-dilaton theory with a Liouville potential parameterized by η, we find a Schwarzschildtype black hole solution. This black hole solution, whose asymptotic geometry is described by the warped metric, is thermodynamically stable only for 0 ≤ η < 2. Applying the gauge/gravity duality, we find that the dual gauge theory represents a non-conformal thermal system with the equation of state depending on η. After turning on the bulk vector fluctuations with and without a dilaton coupling, we calculate the charge diffusion constant, which indicates that the life time of the quasi normal mode decreases with η.Interestingly, the vector fluctuation with the dilaton coupling shows that the DC conductivity increases with temperature, a feature commonly found in electrolytes. *

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“…In this system a scalar condensate can take place through the coupling of the scalar field with the Maxwell field. Much attention has been focused on the application of AdS/CFT correspondence to condensed matter physics since then [7][8][9][10][11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Holographic superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics

et al. 2011

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We investigate the holographic superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics.We find that the Gauss-Bonnet constant, the model parameters and the Born-Infeld coupling parameter will affect the formation of the scalar hair, the transition point of the phase transition from the second order to the first order, and the relation connecting the gap frequency in conductivity with the critical temperature. The combination of the Gauss-Bonnet gravity and the Born-Infeld electrodynamics provides richer physics in the phase transition and the condensation of the scalar hair.

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Exact gravity dual of a gapless superconductor

Cited by 62 publications

References 36 publications

Holographic superconductor/insulator transition with logarithmic electromagnetic field in Gauss–Bonnet gravity

Holographic superconductor/insulator transition with logarithmic electromagnetic field in Gauss–Bonnet gravity

Non-conformal hydrodynamics in Einstein-dilaton theory

Holographic superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics

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