Gauss-Bonnet holographic superconductors

Barclay, Luke; Gregory, Ruth; Kanno, Sugumi; Sutcliffe, Paul

doi:10.1007/jhep12(2010)029

Cited by 90 publications

(117 citation statements)

References 33 publications

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“…It was found that the critical exponent of the condensation in Gauss-Bonnet gravity is β = 1/2 which is consistent with mean-field theory and previous studies [17]. Other studies on the holographic superconductors in the framework of Gauss-Bonnet-AdS black holes were carried out in [18][19][20][21][22][23][24].…”

Section: Jhep04(2016)058supporting

confidence: 86%

Analytical and numerical study of Gauss-Bonnet holographic superconductors with Power-Maxwell field

Sheykhi

Salahi

Montakhab

2016

J. High Energ. Phys.

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Abstract:We provide an analytical as well as a numerical study of the holographic s-wave superconductors in Gauss-Bonnet gravity with Power-Maxwell electrodynamics. We limit our study to the case where scalar and gauge fields do not have an effect on the background metric. We use a variational method, based on Sturm-Liouville eigenvalue problem for our analytical study, as well as a numerical shooting method in order to compare with our analytical results. Interestingly enough, we observe that unlike Born-Infeld-like nonlinear electrodynamics which decrease the critical temperature compared to the linear Maxwell field, the Power-Maxwell electrodynamics is able to increase the critical temperature of the holographic superconductors in the sublinear regime. We find that requiring the finite value for the gauge field on the asymptotic boundary r → ∞, restricts the power parameter, q, of the Power-Maxwell field to be in the range 1/2 < q < (d − 1)/2. Our study indicates that it is quite possible to make condensation easier as q decreases in its allowed range. We also find that for all values of q, the condensation can be affected by the Gauss-Bonnet coefficient α. However, the presence of the Gauss-Bonnet term makes the transition slightly harder. Finally, we obtain an analytic expression for the order parameter and thus obtain the associated critical exponent near the phase transition. We find that the critical exponent has its universal value of β = 1/2 regardless of the parameters q, α as well as dimension d, consistent with mean-field values obtained in previous studies.

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Section: Jhep04(2016)058supporting

confidence: 86%

Analytical and numerical study of Gauss-Bonnet holographic superconductors with Power-Maxwell field

Sheykhi

Salahi

Montakhab

2016

J. High Energ. Phys.

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“…Condensation of a charged scalar field on planar Gauss-Bonnet black holes has been investigated in the context of holographic superconductors [45,46,47]. In [27] the condensation of an uncharged scalar field on a hyperbolic Gauss-Bonnet black hole was studied.…”

Section: Discussionmentioning

confidence: 99%

A scalar field instability of rotating and charged black holes in (4+1)-dimensional Anti-de Sitter space-time

Brihaye

Hartmann

2012

J. High Energ. Phys.

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We study the stability of static as well as of rotating and charged black holes in (4+1)-dimensional Anti-de Sitter space-time which possess spherical horizon topology. We observe an instability related to the condensation of a charged, tachyonic scalar field and construct "hairy" black hole solutions of the full nonlinear system of coupled Einstein, Maxwell and scalar field equations. We observe that the limiting solution for small horizon radius is either a hairy soliton solution or a singular solution that is not a regular extremal solution. Within the context of the gauge/gravity duality the condensation of the scalar field describes a holographic conductor/superconductor phase transition on the surface of a sphere.

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“…Noting that an ingoing wave boundary condition near the horizon is A x (r) ∼ f (r) − iωL 2 (d−1)r+ , and a general behavior for d = 5 in the asymptotic AdS region (r → ∞) [20] is…”

Section: Electrical Conductivitymentioning

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%

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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Gauss-Bonnet holographic superconductors

Cited by 90 publications

References 33 publications

Analytical and numerical study of Gauss-Bonnet holographic superconductors with Power-Maxwell field

Analytical and numerical study of Gauss-Bonnet holographic superconductors with Power-Maxwell field

A scalar field instability of rotating and charged black holes in (4+1)-dimensional Anti-de Sitter space-time

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

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