2009
DOI: 10.1088/1126-6708/2009/11/015
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Zero temperature limit of holographic superconductors

Abstract: We consider holographic superconductors whose bulk description consists of gravity minimally coupled to a Maxwell field and charged scalar field with general potential. We give an analytic argument that there is no "hard gap": the real part of the conductivity at low frequency remains nonzero (although typically exponentially small) even at zero temperature. We also numerically construct the gravitational dual of the ground state of some holographic superconductors. Depending on the charge and dimension of the… Show more

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Cited by 296 publications
(413 citation statements)
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“…The instability leading to scalar hair formation is associated to the violation of the Breitenlohner-Freedman bound for a scalar field living on the near-horizon AdS 2 geometry [15]. The study of the near horizon geometry of the doubly charged Reissner-Nordström black hole solution at T = 0 leads to the following condition for instability 6…”
Section: Phase Diagram: the Imbalance Hinders The Scalar Condensationmentioning
confidence: 99%
See 2 more Smart Citations
“…The instability leading to scalar hair formation is associated to the violation of the Breitenlohner-Freedman bound for a scalar field living on the near-horizon AdS 2 geometry [15]. The study of the near horizon geometry of the doubly charged Reissner-Nordström black hole solution at T = 0 leads to the following condition for instability 6…”
Section: Phase Diagram: the Imbalance Hinders The Scalar Condensationmentioning
confidence: 99%
“…An analogous approach appears to be not feasible here. In principle a similar near-horizon analysis could be performed, but here we encounter a problem: actually we would like to study one scalar on a hairy black hole background (namely on a solution where the other, say λ, scalar has already undergone condensation); even though we have an analytical expression for the fields of the hairy black hole in the IR region [15], on such background the equation for ψ fluctuations does not reduce to a simple free scalar on an AdS spacetime. In other words, here we cannot just apply a simple BF bound argument to study IR stability.…”
Section: Comments On Stabilitymentioning
confidence: 99%
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“…A useful formulation was proposed in [17], which stated that after introducing a perturbative gauge field A x (r, t), the corresponding equation of motion for A x could be recast in a Schrödinger-like form…”
Section: Conductivity In Zero-temperature Backgroundsmentioning
confidence: 99%
“…It has been pointed out in [17] that such a formulation could be generalized to higherdimensional cases.…”
Section: Conductivity In Zero-temperature Backgroundsmentioning
confidence: 99%