The gravity dual of a p-wave superconductor

Gubser, Steven S.; Pufu, Silviu S.

doi:10.48550/arxiv.0805.2960

Cited by 182 publications

(452 citation statements)

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“…where the prime denotes the derivative with respect to r. Obviously, if we set m 2 L 2 = 0, A t = Φ and rescale the field by ρ x = w/ √ 2 in the above equations, we can recover the equations of motion (3.4) in [13] for the holographic p-wave superconductors where an SU (2) Yang-Mills action is considered. For the boundary conditions at the horizon r + , the vector field ρ µ is required to be regular and the gauge field A µ obeys A t (r + ) = 0.…”

Section: Excited States Of the Holographic P-wave Superconductorsmentioning

confidence: 99%

“…The so-called holographic s-wave superconductor was first constructed by considering an Abelian Higgs model coupled to the gravity theory with a negative cosmological constant [11,12], which reproduces characteristic properties shared by real superconductors. Then, the holographic p-wave superconductor was introduced in the Yang-Mills theory [13] or the Maxwell complex vector field model [14], and the holographic d-wave superconductor was built by introducing a charged massive spin two field propagating in the bulk [15,16]. It should be noted that, as suggested in [17] for the p-wave superconductivity, the complex vector field model is a generalization of the SU (2) Yang-Mills model with a general mass and gyromagnetic ratio.…”

Section: Introductionmentioning

confidence: 99%

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An analytic study on the excited states of holographic superconductors

Qiao,

Wang,

OuYang

et al. 2020

Preprint

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Based on the Sturm-Liouville eigenvalue problem, we develop a general analytic technique to investigate the excited states of the holographic superconductors. By including more higher order terms in the expansion of the trial function, we observe that the analytic results agree well with the numeric data, which indicates that the Sturm-Liouville method is very powerful to study the holographic superconductors even if we consider the excited states. For both the holographic s-wave and p-wave models, we find that the excited state has a lower critical temperature than the corresponding ground state and the difference of the critical chemical potential between the consecutive states is around 5. Moreover, we analytically confirm that the holographic superconductor phase transition with the excited states belongs to the second order, which can be used to back up the numerical findings in both s-wave and p-wave superconductors.

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Section: Excited States Of the Holographic P-wave Superconductorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An analytic study on the excited states of holographic superconductors

Qiao,

Wang,

OuYang

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…Interestingly, the gauge/gravity correspondence may play an important role in condensed matter physics [3,4]. In particular, the application of the gauge/gravity correspondence to superconductors has been intensively studied [5,6,7,8,9,10,11,12,13,14,15,16,17,18] (see recent lecture notes [3,4] for complete references). It would be very exciting indeed if we could explain high temperature superconductivity from black hole physics.…”

Section: Introductionmentioning

confidence: 99%

Holographic superconductors with higher curvature corrections

Gregory

Kanno

Soda

2009

J. High Energy Phys.

266

347

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We study (3+1)-dimensional holographic superconductors in Einstein-Gauss-Bonnet gravity both numerically and analytically. It is found that higher curvature corrections make condensation harder. We give an analytic proof of this result, and directly demonstrate an analytic approximation method that explains the qualitative features of superconductors as well as giving quantitatively good numerical results. We also calculate conductivity and ωg/Tc, for ωg and Tc the gap in the frequency dependent conductivity and the critical temperature respectively. It turns out that the 'universal' behaviour of conductivity, ωg/Tc ≃ 8, is not stable to the higher curvature corrections. In the appendix, for completeness, we show our analytic method can also explain (2+1)-dimensional superconductors.

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“…As a powerful tool to understand strong coupled gauge theories, AdS/CFT correspondence [1,2,3,4] has been applied in condensed matter physics recently. There are many attempts to use this gauge/gravity correspondence to describe certain condensed matter phenomenons such as the (classical) Hall effect [5], the Nernst effect [6,7,8], the quantum Hall effect [9,10,11], superconductivity [12,13,14,15,16,17,18,19,20,21,22,23,24,25] and superfluid [26].…”

Section: Introductionmentioning

confidence: 99%

Time reversal symmetry breaking holographic superconductor in constant external magnetic field

2009

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It is known that a classical SU (2) Einstein-Yang-Mills theory in 3+1 dimensional anti-de Sitter spacetime can provide a holographic dual to a 2+1 dimensional time reversal symmetry breaking superconductor with a pseudogap. We study the properties of this holographic superconductor in the presence of an applied constant external magnetic field, neglecting backreaction on the geometry. The superconductor is immersed into a constant external magnetic field by adding a radially (the extra dimension) dependent magnetic field to the black hole. As for real superconductors, there is a critical magnetic field above which no superconductivity can appear. The continuity of the first derivative of the free energy difference between the superconducting phase and the normal phase at the critical temperature suggests that the superconducting phase transition with applied magnetic field is of second order.

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The gravity dual of a p-wave superconductor

Cited by 182 publications

References 0 publications

An analytic study on the excited states of holographic superconductors

An analytic study on the excited states of holographic superconductors

Holographic superconductors with higher curvature corrections

Time reversal symmetry breaking holographic superconductor in constant external magnetic field

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